WIAS Preprint List: Mielke, Alexander

• 3127: Mielke, Alexander; Rossi, Riccarda
  On De Giorgi's lemma for variational interpolants in metric and Banach spaces
  
• 3108: Mielke, Alexander; Peletier, Mark A.; Zimmer, Johannes
  Deriving a GENERIC system from a Hamiltonian system
  
• 3107: Mielke, Alexander; Roubiček, Tomáš
  A general thermodynamical model for finitely-strained continuum with inelasticity and diffusion, its GENERIC derivation in Eulerian formulation, and some application
  
• 3033: Mielke, Alexander; Rossi, Riccarda; Stephan, Artur
  On time-splitting methods for gradient flows with two dissipation mechanisms
  
• 3022: Mielke, Alexander
  An introduction to the analysis of gradients systems
  
• 3015: Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
  A model of gravitational differentiation of compressible self-gravitating planets
  
• 3008: Mielke, Alexander; Schindler, Stefanie
  Convergence to self-similar profiles in reaction-diffusion systems
  Appeared in: SIAM J. Math. Anal., 56 (2024), pp. 7108--7135, DOI 10.1137/23M1564298 .
• 3007: Mielke, Alexander; Schindler, Stefanie
  Existence of similarity profiles for diffusion equations and systems
  
• 2998: Mielke, Alexander
  Non-equilibrium steady states as saddle points and EDP-convergence for slow-fast gradient systems
  Appeared in: J. Math. Phys., 64 (2023), pp. 123502/1-- 123502/27, DOI 10.1063/5.0149910 .
• 2992: Mielke, Alexander; Schindler, Stefanie
  Self-similar pattern in coupled parabolic systems as non-equilibrium steady states
  Appeared in: Chaos, 34 (2024), pp. 013150/1--013150/12, DOI 10.1063/5.0144692 under the title “On self-similar patterns in coupled parabolic systems as non-equilibrium steady states".
• 2973: Laschos, Vaios; Mielke, Alexander
  Evolutionary variational inequalities on the Hellinger--Kantorovich and spherical Hellinger--Kantorovich spaces
  
• 2956: Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
  Fine properties of geodesics and geodesic lambda-convexity for the Hellinger--Kantorovich distance
  Appeared in: Arch. Ration. Mech. Anal., 247 (2023), pp. 112/1--112/73, DOI 10.1007/s00205-023-01941-1 .
• 2955: Bazaes, Rodrigo; Mielke, Alexander; Mukherjee, Chiranjib
  Stochastic homogenization of Hamilton--Jacobi--Bellman equations on continuum percolation clusters
  
• 2954: Mielke, Alexander; Roubíček, Tomáš
  Qualitative study of a geodynamical rate-and-state model for elastoplastic shear flows in crustal faults
  Appeared in: Interfaces Free Bound., 26 (2024), pp. 245--282, DOI 10.4171/IFB/506 .
• 2938: Koprucki, Thomas; Maltsi, Anieza; Mielke, Alexander
  Symmetries in TEM imaging of crystals with strain
  Appeared in: Proc. Roy. Soc. Edinburgh Sect. A, 478 (2022), pp. 20220317/1--20220317/23, DOI 10.1098/rspa.2022.0317 .
• 2937: Mielke, Alexander
  On two coupled degenerate parabolic equations motivated by thermodynamics
  Appeared in: J. Nonlinear Sci., 33 (2023), pp. 42/1--42/55, DOI 10.1007/s00332-023-09892-3 .
• 2902: Mielke, Alexander; Rossi, Riccarda
  Balanced-Viscosity solutions to infinite-dimensional multi-rate systems
  Appeared in: Arch. Ration. Mech. Anal., 247 (2023), pp. 53/1--53/100, DOI 10.1007/s00205-023-01855-y .
• 2836: Mielke, Alexander; Reichelt, Sina
  Traveling fronts in a reaction-diffusion equation with a memory term
  Appeared in: J. Dynam. Differential Equations, 36 (2024), pp. S487--S513 (published online on 23.02.2022), DOI 10.1007/s10884-022-10133-6 .
• 2829: Eiter, Thomas; Hopf, Katharina; Mielke, Alexander
  Leray--Hopf solutions to a viscoelastic fluid model with nonsmooth stress-strain relation
  Appeared in: Nonlinear Anal. Real World Appl., 65 (2022), pp. 103491/1--103491/30 (published online on 20.12.2021), DOI 10.1016/j.nonrwa.2021.103491 .
• 2807: Fischer, Julian; Hopf, Katharina; Kniely, Michael; Mielke, Alexander
  Global existence analysis of energy-reaction-diffusion systems
  Appeared in: SIAM J. Math. Anal., 54 (2022), pp. 220--267, DOI 10.1137/20M1387237 .
• 2801: Koprucki, Thomas; Maltsi, Anieza; Mielke, Alexander
  On the Darwin--Howie--Whelan equations for the scattering of fast electrons described by the Schrödinger equation
  Appeared in: SIAM J. Appl. Math., 81 (2021), pp. 1552--1578, DOI 10.1137/21M139164X .
• 2781: Mielke, Alexander; Peletier, Mark A.; Stephan, Artur
  EDP-convergence for nonlinear fast-slow reaction systems with detailed balance
  Appeared in: Nonlinearity, 34 (2021), pp. 5762/1--5762/38, DOI 10.1088/1361-6544/ac0a8a .
• 2771: Mielke, Alexander
  Relating a rate-independent system and a gradient system for the case of one-homogeneous potentials
  Appeared in: J. Dynam. Differential Equations, 34 (2022), pp. 3143-- 3164 (published online on 31.05.2021), DOI 10.1007/s10884-021-10007-3 .
• 2718: Mielke, Alexander; Netz, Roland R.; Zendehroud, Sina
  A rigorous derivation and energetics of a wave equation with fractional damping
  Appeared in: J. Evol. Equ., 21 (2021), pp. 3079--3102, DOI 10.1007/s00028-021-00686-2 .
• 2712: Maas, Jan; Mielke, Alexander
  Modeling of chemical reaction systems with detailed balance using gradient structures
  Appeared in: J. Statist. Phys., 181 (2020), pp. 2257--2303, DOI 10.1007/s10955-020-02663-4 .
• 2668: Mielke, Alexander; Montefusco, Alberto; Peletier, Mark A.
  Exploring families of energy-dissipation landscapes via tilting -- Three types of EDP convergence
  Appeared in: Contin. Mech. Thermodyn., 33 (2021), pp. 611--637, DOI 10.1007/s00161-020-00932-x .
• 2653: Kantner, Markus; Höhne, Theresa; Koprucki, Thomas; Burger, Sven; Wünsche, Hans-Jürgen; Schmidt, Frank; Mielke, Alexander; Bandelow, Uwe
  Multi-dimensional modeling and simulation of semiconductor nanophotonic devices
  Appeared in: M. Kantner, Th. Höhne, Th. Koprucki, S. Burger, H.-J. Wünsche, F. Schmidt, A. Mielke, U. Bandelow, Multi-dimensional modeling and simulation of semiconductor nanophotonic devices, M. Kneissl, A. Knorr, S. Reitzenstein, A. Hoffmann, eds., Semiconductor Nanophotonics, Springer, Heidelberg, 2020, pp. 241--283.
• 2643: Mielke, Alexander; Stephan, Artur
  Coarse-graining via EDP-convergence for linear fast-slow reaction systems
  Appeared in: Math. Models Methods Appl. Sci., 30 (2020), pp. 1765--1807, DOI 10.1142/S0218202520500360 .
• 2584: Mielke, Alexander; Roubíček, Tomáš
  Thermoviscoelasticity in Kelvin--Voigt rheology at large strains
  Appeared in: Arch. Ration. Mech. Anal., 238 (2020), pp. 1--45, DOI 10.1007/s00205-020-01537-z .
• 2575: Kantner, Markus; Mielke, Alexander; Mittnenzweig, Markus; Rotundo, Nella
  Mathematical modeling of semiconductors: From quantum mechanics to devices
  Appeared in: Topics in Applied Analysis and Optimisation, M. Hintermüller, J.F. Rodrigues, eds., CIM Series in Mathematical Sciences, Springer Nature Switzerland AG, Cham, 2019, pp. 269--293, DOI 10.1007/978-3-030-33116-0 .
• 2545: Mielke, Alexander; Naumann, Joachim
  On the existence of global-in-time weak solutions and scaling laws for Kolmogorov's two-equation model of turbulence
  Appeared in: ZAMM Z. Angew. Math. Mech., 102 (2022), pp. 1--31 (published online on 01.07.2022), DOI 10.1002/zamm.202000019 .
• 2499: Bacho, Aras; Emmrich, Etienne; Mielke, Alexander
  An existence result and evolutionary Gamma-convergence for perturbed gradient systems
  Appeared in: J. Evol. Equ., 19 (2019), pp. 479--522, DOI 10.1007/s00028-019-00484-x .
• 2459: Dondl, Patrick; Frenzel, Thomas; Mielke, Alexander
  A gradient system with a wiggly energy and relaxed EDP-convergence
  Appeared in: ESAIM Control Optim. Calc. Var., 25 (2019), pp. 68/1--68/45 (published on 05.11.2019), DOI 10.1051/cocv/2018058 .
• 2458: Laschos, Vaios; Mielke, Alexander
  Geometric properties of cones with applications on the Hellinger--Kantorovich space, and a new distance on the space of probability measures
  Appeared in: J. Funct. Anal., 276 (2019), pp. 3529--3576, DOI 10.1016/j.jfa.2018.12.013 .
• 2457: Becker, Maximilian; Frenzel, Thomas; Niedermeyer, Thomas; Reichelt, Sina; Mielke, Alexander; Bär, Markus
  Local control of globally competing patterns in coupled Swift--Hohenberg equations
  Appeared in: Chaos, 28 (2018), pp. 043121/1--043121/11, DOI 10.1063/1.5018139 .
• 2447: Burylko, Oleksandr; Mielke, Alexander; Wolfrum, Matthias; Yanchuk, Serhiy
  Coexistence of Hamiltonian-like and dissipative dynamics in chains of coupled phase oscillators with skew-symmetric coupling
  Appeared in: SIAM J. Appl. Dyn. Syst., 17 (2018), pp. 2076--2105, DOI 10.1137/17M1155685 .
• 2405: Mielke, Alexander
  Three examples concerning the interaction of dry friction and oscillations
  Appeared in: Proceedings of the INdAM-ISIMM Workshop on Trends on Applications of Mathematics to Mechanics, Rome, Italy, September 2016, E. Rocca, U. Stefanelli, L. Truskinovsky, A. Visintin, eds., vol. 27 of Springer INdAM Series, Springer International Publishing, Cham, 2018, pp. 159--177, DOI 10.1007/978-3-319-75940-1_8 .
• 2359: Gussmann, Pascal; Mielke, Alexander
  Linearized elasticity as Mosco-limit of finite elasticity in the presence of cracks
  Appeared in: Adv. Calculus Variations, 13 (2020), pp. 33--52 (published online on 17.10.2017), DOI 10.1515/acv-2017-0010 .
• 2349: Mielke, Alexander; Mittnenzweig, Markus
  Convergence to equilibrium in energy-reaction-diffusion systems using vector-valued functional inequalities
  Appeared in: J. Nonlinear Sci., 28 (2018), pp. 765--806 (published online on 11.11.2017), DOI 10.1007/s00332-017-9427-9 .
• 2336: Heida, Martin; Mielke, Alexander
  Averaging of time-periodic dissipation potentials in rate-independent processes
  Appeared in: Discrete Contin. Dyn. Syst. Ser. S, 10 (2017), pp. 1303--1327.
• 2326: Mielke, Alexander
  Uniform exponential decay for reaction-diffusion systems with complex-balanced mass-action kinetics
  Appeared in: Patterns of Dynamics, P. Gurevich, J. Hell, B. Sandstede, A. Scheel, eds., Proceedings in Mathematics & Statistics, Springer, 2018, pp. 149--171, DOI 10.1007/978-3-319-64173-7_10 .
• 2320: Mittnenzweig, Markus; Mielke, Alexander
  An entropic gradient structure for Lindblad equations and GENERIC for quantum systems coupled to macroscopic models
  Appeared in: J. Statist. Phys., 167 (2017), pp. 205--233, DOI 10.1007/s10955-017-1756-4 .
• 2317: Mielke, Alexander; Peschka, Dirk; Rotundo, Nella; Thomas, Marita
  Gradient structure for optoelectronic models of semiconductors
  Appeared in: Quintela P. et al. (eds) Progress in Industrial Mathematics at ECMI 2016. ECMI 2016. Mathematics in Industry, vol 26. Springer, Cham, pp. 291-298, changed title: On some extension of energy-drift-diffusion models: Gradient structure for optoelectronic models of semiconductors.
• 2304: Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
  Global existence results for viscoplasticity at finite strain
  Appeared in: Arch. Ration. Mech. Anal., 227 (2018), pp. 423--475 (published online on 20.09.2017), DOI 10.1007/s00205-017-1164-6 .
• 2233: Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander
  Decay to equilibrium for energy-reaction-diffusion systems
  Appeared in: SIAM J. Math. Anal., (2018), DOI 10.1137/16M1062065 .
• 2210: Mielke, Alexander; Roubíček, Tomáš
  Rate-independent elastoplasticity at finite strains and its numerical approximation
  Appeared in: Math. Models Methods Appl. Sci., 26 (2016), pp. 2203--2236.
• 2207: Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
  Optimal entropy-transport problems and a new Hellinger--Kantorovich distance between positive measures
  Appeared in: Inv. Math., 211 (2018), pp. 969--1117 (published online on 14.12.2017), DOI 10.1007/s00222-017-0759-8 .
• 2174: Mielke, Alexander
  Deriving effective models for multiscale systems via evolutionary $Gamma$-convergence
  Appeared in: Control of Self-Organizing Nonlinear Systems, E. Schöll, S. Klapp, P. Hövel, eds., Understanding Complex Systems, Springer, 2016, pp. 235--251
• 2165: Mielke, Alexander; Patterson, Robert I. A.; Peletier, Mark A.; Renger, D. R. Michiel
  Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics
  Appeared in: SIAM J. Appl. Math., 77 (2017), pp. 1562--1585, DOI 10.1137/16M1102240 .
• 2163: Heinz, Sebastian; Mielke, Alexander
  Existence, numerical convergence, and evolutionary relaxation for a rate-independent phase-transformation model
  Appeared in: Phil. Trans. R. Soc. A, 374 (2016), pp. 20150171/1--20150171/23, DOI 10.1098/rsta.2015.0171 .
• 2160: Liero, Matthias; Mielke, Alexander; Savaré, Giuseppe
  Optimal transport in competition with reaction: The Hellinger--Kantorovich distance and geodesic curves
  Appeared in: SIAM J. Math. Anal., 48 (2016), pp. 2869--2911.
• 2148: Liero, Matthias; Mielke, Alexander; Peletier, Mark A.; Renger, D. R. Michiel
  On microscopic origins of generalized gradient structures
  Appeared in: Discrete Contin. Dyn. Syst. Ser. S, 10 (2017), pp. 1--35, DOI 10.3934/dcdss.2017001 .
• 2091: Mielke, Alexander
  Free energy, free entropy, and a gradient structure for thermoplasticity
  Appeared in: Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems. In Honor of Michael Ortiz's 60th Birthday., K. Weinberg, A. Pandolfi, eds., vol. 81 of Lecture Notes in Applied and Computational Mechanics, Springer International Publishing Switzerland, 2016, pp. 135--160
• 2084: Mielke, Alexander
  Variational approaches and methods for dissipative material models with multiple scales
  Appeared in: A. Mielke, Chapter 5: Variational Approaches and Methods for Dissipative Material Models with Multiple Scales, in: Analysis and Computation of Microstructure in Finite Plasticity, S. Conti, K. Hackl, eds., vol. 78 of Lecture Notes in Applied and Computational Mechanics, Springer International Publishing, Heidelberg et al., 2015, pp. 125--155
• 2078: Mielke, Alexander; Naumann, Joachim
  Global-in-time existence of weak solutions to Kolmogorov's two-equation model of turbulence
  Appeared in: C. R. Math. Acad. Sci. Paris, 353 (2015) pp. 321--326.
• 2001: Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
  Balanced-Viscosity solutions for multi-rate systems
  Appeared in: MURPHYS-HSFS-2014: 7th MUlti-Rate Processes and HYSteresis (MURPHYS) & 2nd International Workshop on Hysteresis and Slow-Fast Systems (HSFS), O. Klein, M. Dimian, P. Gurevich, D. Knees, D. Rachinskii, S. Tikhomirov, eds., vol. 727 of Journal of Physics: Conference Series, IOP Publishing, 2016, pp. 012010/1--012010/26
• 1943: Mielke, Alexander
  On thermodynamical couplings of quantum mechanics and macroscopic systems
  Appeared in: Mathematical Results in Quantum Mechanics. Proceedings of the QMath12 Conference, P. Exner, W. König, H. Neidhardt, eds., World Scientific Publishing, Singapore, 2015, pp. 331--348
• 1915: Mielke, Alexander
  On evolutionary Gamma convergence for gradient systems
  Appeared in: A. Mielke, Chapter 3: On Evolutionary $Gamma$-Convergence for Gradient Systems, in: Macroscopic and Large Scale Phenomena: Coarse Graining, Mean Field Limits and Ergodicity, A. Muntean, J.D.M. Rademacher, A. Zagaris, eds., vol. 3 of Lecture Notes in Applied Mathematics and Mechanics, Springer International Publishing, Heidelberg et al., 2016, pp. 187--249
• 1914: Mielke, Alexander
  Deriving amplitude equations via evolutionary Gamma convergence
  Appeared in: Discrete Contin. Dyn. Syst., 35 (2015) pp. 2679--2700.
• 1868: Mielke, Alexander; Peletier, Mark A.; Renger, D. R. Michiel
  On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion
  Appeared in: Potential Anal., 41 (2014) pp. 1293--1325.
• 1846: Mielke, Alexander; Patz, Carsten
  Uniform asymptotic expansions for the infinite harmonic chain
  Appeared in: Z. Anal. Anwendungen, 36 (2017), pp. 437--475, DOI 10.4171/ZAA/1596 .
• 1845: Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
  Balanced viscosity (BV) solutions to infinite-dimensional rate-independent systems
  Appeared in: J. Eur. Math. Soc. (JEMS), 18 (2016), pp. 2107--2165.
• 1834: Mielke, Alexander; Reichelt, Sina; Thomas, Marita
  Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion
  Appeared in: Networks Heterogeneous Media, 9 (2014) pp. 353--382.
• 1826: Yanchuk, Serhiy; Lücken, Leonhard; Wolfrum, Matthias; Mielke, Alexander
  Spectrum and amplitude equations for scalar delay-differential equations with large delay
  Appeared in: Discrete Contin. Dyn. Syst., 35 (2015) pp. 537--553.
• 1816: Mielke, Alexander; Ortner, Christoph; Şengül, Yasemin
  An approach to nonlinear viscoelasticity via metric gradient flows
  Appeared in: SIAM J. Math. Anal., 46 (2014) pp. 1317--1347.
• 1768: Mielke, Alexander; Haskovec, Jan; Markowich, Peter A.
  On uniform decay of the entropy for reaction-diffusion systems
  Appeared in: J. Dynam. Differential Equations, 27 (2015) pp. 897--928.
• 1710: Mielke, Alexander
  Dissipative quantum mechanics using GENERIC
  Appeared in: Recent Trends in Dynamical Systems, Proceedings of a Conference in Honor of Jürgen Scheurle, A. Johann, H.-P. Kruse, S. Schmitz, eds., vol. 35 of Proceedings in Mathematics and Statistics, Springer, Heidelberg, 2013, pp. 555--585
• 1704: Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
  Variational convergence of gradient flows and rate-independent evolutions in metric spaces
  Appeared in: Milan J. Math., 80 (2012) pp. 381--410.
• 1701: Liero, Matthias; Mielke, Alexander
  Gradient structures and geodesic convexity for reaction-diffusion systems
  Appeared in: Phil. Trans. R. Soc. A, 371 (2013), pp. 20120346/1--20120346/28.
• 1688: Mielke, Alexander; Rohan, Eduard
  Homogenization of elastic waves in fluid-saturated porous media using the Biot model
  Appeared in: Math. Models Methods Appl. Sci., 23 (2013) pp. 873--916.
• 1661: Mielke, Alexander
  Thermomechanical modeling of energy-reaction-diffusion systems, including bulk-interface interactions
  Appeared in: Discrete Contin. Dyn. Syst. Ser. S, 6 (2013) pp. 479--499.
• 1655: Hackl, Klaus; Heinz, Sebastian; Mielke, Alexander
  A model for the evolution of laminates in finite-strain elastoplasticity
  Appeared in: ZAMM Z. Angew. Math. Mech., 92 (2012) pp. 888--909.
• 1650: Mielke, Alexander
  Geodesic convexity of the relative entropy in reversible Markov chains
  Appeared in: Calc. Var. Partial Differ. Equ., 48 (2013) pp. 1-31.
• 1644: Amiranashvili, Shalva; Bandelow, Uwe; Mielke, Alexander
  Calculation of ultrashort pulse propagation based on rational approximations for medium dispersion
  Appeared in: Opt. Quantum Electron., 44 (2012) pp. 241--246.
• 1643: Mielke, Alexander
  Emergence of rate-independent dissipation from viscous systems with wiggly energies
  Appeared in: Contin. Mech. Thermodyn., 24 (2012) pp. 591--606.
• 1617: Mielke, Alexander; Stefanelli, Ulisse
  Linearized plasticity is the evolutionary Gamma limit of finite plasticity
  Appeared in: J. Eur. Math. Soc. (JEMS), 15 (2013) pp. 923--948.
• 1613: Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
  Nonsmooth analysis of doubly nonlinear evolution equations
  Appeared in: Calc. Var. Partial Differ. Equ., 46 (2013) pp. 253--310.
• 1612: Mielke, Alexander
  Generalized Prandtl--Ishlinskii operators arising from homogenization and dimension reduction
  Appeared in: Phys. B, 407 (2012) pp. 1330--1335.
• 1604: Dreyer, Wolfgang; Huth, Robert; Mielke, Alexander; Rehberg, Joachim; Winkler, Michael
  Blow-up versus boundedness in a nonlocal and nonlinear Fokker--Planck equation
  Appeared in: ZAMP Z. Angew. Math. Phys., 66 (2015) pp. 293--315 with the title “Global existence for a nonlocal and nonlinear Fokker--Planck equation”
• 1603: Glitzky, Annegret; Mielke, Alexander
  A gradient structure for systems coupling reaction-diffusion effects in bulk and interfaces
  Appeared in: ZAMP Z. Angew. Math. Phys., 64 (2013) pp. 29--52.
• 1593: Arnrich, Steffen; Mielke, Alexander; Peletier, Mark A.; Savaré, Giuseppe; Veneroni, Marco
  Passing to the limit in a Wasserstein gradient flow: From diffusion to reaction
  Appeared in: Calc. Var. Partial Differ. Equ., 44 (2012) pp. 419--454.
• 1585: Bartels, Sören; Mielke, Alexander; Roubíček, Tomáš
  Quasistatic small-strain plasticity in the limit of vanishing hardening and its numerical approximation
  Appeared in: SIAM J. Numer. Anal., 50 (2012) pp. 951--976.
• 1583: Liero, Matthias; Mielke, Alexander
  An evolutionary elastoplastic plate model derived via Gamma convergence
  Appeared in: Math. Models Methods Appl. Sci., 21 (2011) pp. 1961--1986.
• 1542: Mielke, Alexander; Roubíček, Tomáš; Thomas, Marita
  From damage to delamination in nonlinearly elastic materials at small strains
  Appeared in: J. Elasticity, 109 (2012) pp. 235--273.
• 1541: Mielke, Alexander; Truskinovsky, Lev
  From discrete visco-elasticity to continuum rate-independent plasticity: Rigorous results
  Appeared in: Arch. Ration. Mech. Anal., 203 (2012) pp. 577--619.
• 1500: Mielke, Alexander; Zelik, Sergey
  On the vanishing-viscosity limit in parabolic systems with rate-independent dissipation terms
  Appeared in: Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), XIII (2014) pp. 67--135.
• 1486: Mielke, Alexander
  Formulation of thermo-elastic dissipative material behavior using GENERIC
  Appeared in: Contin. Mech. Thermodyn., 23 (2011) pp. 233--256.
• 1485: Mielke, Alexander
  A gradient structure for reaction-diffusion systems and for energy-drift-diffusion systems
  Appeared in: Nonlinearity, 24 (2011) pp. 1329--1346.
• 1454: Mielke, Alexander
  Differential, energetic, and metric formulations for rate-independent processes
  Appeared in: A. Mielke, Chapter: Differential, Energetic, and Metric Formulations for Rate-Independent Processes, in: Nonlinear PDE's and Applications, C.I.M.E. Summer School, Cetraro, Italy 2008, L. Ambrosio, G. Savaré, eds., vol. 2028 of Lecture Notes in Mathematics, Springer, Berlin Heidelberg, 2011, pp. 87--167
• 1451: Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
  BV solutions and viscosity approximations of rate-independent systems
  Appeared in: ESAIM Control Optim. Calc. Var., 18 (2012) pp. 36--80.
• 1448: Mielke, Alexander; Patz, Carsten
  Dispersive stability of infinite dimensional Hamiltonian systems on lattices
  Appeared in: Appl. Anal., 89 (2010) pp. 1493--1512.
• 1447: Giannoulis, Johannes; Mielke, Alexander; Sparber, Christof
  High-frequency averaging in semi-classical Hartree-type equations
  Appeared in: Asymptot. Anal., 70 (2010) pp. 87--100.
• 1414: Mielke, Alexander
  Complete-damage evolution based on energies and stresses
  Appeared in: Discrete Contin. Dyn. Syst. Ser. S, 4 (2011) pp. 423--439.
• 1407: Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien; Stefanelli, Ulisse
  Error estimates for space-time discretizations of a rate-independent variational inequality
  Appeared in: SIAM J. Numer. Anal., 48 (2010) pp. 1625--1646.
• 1400: Mielke, Alexander; Stefanelli, Ulisse
  Weighted energy-dissipation functionals for gradient flows
  Appeared in: ESAIM Control Optim. Calc. Var., 17 (2011) pp. 52--85.
• 1397: Thomas, Marita; Mielke, Alexander
  Damage of nonlinearly elastic materials at small strain --- Existence and regularity results
  Appeared in: ZAMM Z. Angew. Math. Mech., 90 (2010) pp. 88--112.
• 1391: Amiranashvili, Shalva; Bandelow, Uwe; Mielke, Alexander
  Padé approximant for refractive index and nonlocal envelope equations
  Appeared in: Opt. Commun., 283 (2010) pp. 480--485.
• 1351: Knees, Dorothee; Zanini, Chiara; Mielke, Alexander
  Crack growth in polyconvex materials
  Appeared in: Phys. D, 239 (2010) pp. 1470--1484.
• 1347: Mielke, Alexander; Rossi, Riccarda; Savaré, Giuseppe
  Modeling solutions with jumps for rate-independent systems on metric spaces
  Appeared in: Discrete Contin. Dyn. Syst., 25 (2009) pp. 585--615.
• 1330: Mielke, Alexander; Paoli, Laetitia; Petrov, Adrien
  On existence and approximation for a 3D model of thermally-induced phase transformations in shape-memory alloys
  Appeared in: SIAM J. Math. Anal., 41 (2009) pp. 1388--1414.
• 1322: Mielke, Alexander; Petrov, Adrien; Martins, Joao A. C.
  Convergence of solutions of kinetic variational inequalities in the rate-independent quasi-static limit
  Appeared in: J. Math. Anal. Appl., 348 (2008) pp. 1012--1020.
• 1302: Giannoulis, Johannes; Herrmann, Michael; Mielke, Alexander
  Lagrangian and Hamiltonian two-scale reduction
  Appeared in: J. Math. Phys., 49 (2008) pp. 103505/1--103505/42.
• 1299: Mainik, Andreas; Mielke, Alexander
  Global existence for rate-independent gradient plasticity at finite strain
  Appeared in: J. Nonlinear Sci., 19 (2009) pp. 221--248.
• 1295: Mielke, Alexander; Stefanelli, Ulisse
  A discrete variational principle for rate-independent evolution
  Appeared in: Adv. Calculus Variations, 1 (2008) pp. 399--431.
• 1287: Mielke, Alexander
  On an evolutionary model for complete damage based on energies and stresses
  
• 1285: Mielke, Alexander; Roubíček, Tomáš; Zeman, Jan
  Complete damage in elastic and viscoelastic media and its energetics
  Appeared in: Comput. Methods Appl. Mech. Engrg., 199 (2010) pp. 1242--1253.
• 1271: Mielke, Alexander; Rindler, Filip
  Reverse approximation of energetic solutions to rate-independent processes
  Appeared in: NoDEA Nonlinear Differential Equations Appl., 16 (2009) pp. 17--40.
• 1268: Knees, Dorothee; Mielke, Alexander; Zanini, Chiara
  On the inviscid limit of a model for crack propagation
  Appeared in: Math. Models Methods Appl. Sci., 18 (2008) pp. 1529--1569.
• 1257: Mielke, Alexander; Petrov, Adrien
  Thermally driven phase transformation in shape-memory alloys
  Appeared in: Adv. Math. Sci. Appl., 17 (2007) pp. 667--685.
• 1255: Gajewski, Herbert; Griepentrog, Jens André; Mielke, Alexander; Beuthan, J.; Zabarylo, U.; Minet, O.
  Bildsegmentation zur Untersuchung von Streulichtbildern bei der laseroptischen Diagnose von rheumatoider Arthritis
  Appeared in: Mathematics -- Key Technology for the Future, W. JÄGER, H.-J. KREBS, eds., Springer, Heidelberg, 2008, english version “Image Segmentation for the Investigation of Scattered-Light Images when Laser-Optically Diagnosing Rheumatoid Arthritis”, pp. 149--161.
• 1228: Bouchitté, Guy; Mielke, Alexander; Roubíček, Tomáš
  A complete-damage problem at small strains
  Appeared in: Z. Angew. Math. Phys., 60 (2009) pp. 205--236.
• 1226: Rossi, Riccarda; Mielke, Alexander; Savaré, Giuseppe
  A metric approach to a class of doubly nonlinear evolution equations and applications
  Appeared in: Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), VII (2008) pp. 97--169.
• 1221: Giannoulis, Johannes; Mielke, Alexander; Sparber, Christof
  Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential
  Appeared in: J. Differential Equations, 245 (2008) pp. 939--963.
• 1219: Mielke, Alexander
  Weak-convergence methods for Hamiltonian multiscale problems
  Appeared in: Discrete Contin. Dyn. Syst., 20 (2008) pp. 53--79.
• 1188: Schmid, Florian; Mielke, Alexander
  Existence results for a contact problem with varying friction coefficient and nonlinear forces
  Appeared in: ZAMM, Volume 87, Issue 8-9, 2007, pp. 616-631
• 1184: Mielke, Alexander
  A model for temperature-induced phase transformations in finite-strain elasticity
  Appeared in: IMA J. Appl. Math., 72 (2007) pp. 644--658.
• 1172: Mielke, Alexander; Timofte, Aida
  Two-scale homogenization for evolutionary variational inequalities via the energetic formulation
  Appeared in: SIAM J. Math. Anal., 39 (2007) pp. 642--668.
• 1170: Auricchio, Ferdinando; Mielke, Alexander; Stefanelli, Ulisse
  A rate-independent model for the isothermal quasi-static evolution of shape-memory materials
  Appeared in: Math. Methods Appl. Sci., 18 (2008) pp. 125--164.
• 1169: Mielke, Alexander; Roubíček, Tomaš
  Numerical approaches to rate-independent processes and applications in inelasticity
  Appeared in: ESAIM Math. Model. Numer. Anal., 43 (2009) pp. 399--429.
• 1156: Mielke, Alexander; Roubíček, Tomáš; Stefanelli, Ulisse
  Γ-limits and relaxations for rate-independent evolutionary problems
  Appeared in: Calc. Var. Partial Differ. Equ., 31 (2008) pp. 387--416.
• 1136: Mielke, Alexander; Ortiz, Michael
  A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems
  Appeared in: ESAIM Control Optim. Calc. Var., 14 (2008) pp. 494--516.
• 1127: Gürses, Ercan; Mainik, Andreas; Miehe, Christian; Mielke, Alexander
  Analytical and numerical methods for finite-strain elastoplasticity
  Appeared in: Multifield Problems in Solid and Fluid Mechanics, R. Helmig, A. Mielke, B. Wohlmuth, eds., vol. 28 of Lecture Notes in Applied and Computational Mechanics, Springer, Heidelberg, 2006, pp. 443--481
• 1126: Giannoulis, Johannes; Herrmann, Michael; Mielke, Alexander
  Continuum descriptions for the dynamics in discrete lattices: Derivation and justification
  Appeared in: Analysis, Modeling and Simulation of Multiscale Problems, A. Mielke, ed., Springer, Heidelberg, 2006, pp. 435--466
• 1123: Mielke, Alexander
  A mathematical framework for standard generalized materials in the rate-independent case
  Appeared in: Multifield Problems in Solid and Fluid Mechanics, R. Helmig, A. Mielke, B. Wohlmuth, eds., vol. 28 of Lecture Notes in Applied and Computational Mechanics, Springer, Heidelberg, 2006, pp. 351--379
• 1100: Knees, Dorothee; Mielke, Alexander
  Energy release rate for cracks in finite-strain elasticity
  Appeared in: Math. Methods Appl. Sci., 31 (2008) pp. 501--528.
• 1093: Zelik, Sergey; Mielke, Alexander
  Multi-pulse evolution and space-time chaos in dissipative systems
  Appeared in: Mem. Amer. Math. Soc., 198 (2009) pp. 1--97.
• 1078: Mielke, Alexander; Rossi, Riccarda
  Existence and uniqueness results for general rate-independent hysteresis problems
  Appeared in: Math. Models Methods Appl. Sci., 17 (2007) pp. 81--123.
• 1050: Giannoulis, Johannes; Mielke, Alexander
  Dispersive evolution of pulses in oscillator chains with general interaction potentials
  Appeared in: Discrete Contin. Dyn. Syst. Ser. B, 6 (2006) pp. 493--523.
• 1047: Kružík, Martin; Mielke, Alexander; Roubíček, Tomáš
  Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi
  Appeared in: Meccanica, 40 (2005) pp. 389--418.
• 1032: Dreyer, Wolfgang; Herrmann, Michael; Mielke, Alexander
  Micro-macro transitions in the atomic chain via Whitham's modulation equation
  Appeared in: Nonlinearity, 19 (2006) pp. 471--500.
• 1027: Mielke, Alexander
  Macroscopic behavior of microscopic oscillations in harmonic lattices via Wigner--Husimi transforms
  Appeared in: Arch. Ration. Mech. Anal., 181 (2006) pp. 401--448.
• 1020: Mielke, Alexander; Roubíček, Tomáš
  Rate-independent damage processes in nonlinear elasticity
  Appeared in: Math. Models Methods Appl. Sci., 16 (2006) pp. 177--209.
• 1014: Mielke, Alexander; Timofte, Aida M.
  An energetic material model for time-dependent ferroelectric behavior: Existence and uniqueness
  Appeared in: Math. Methods Appl. Sci., 29 (2006) pp. 1393--1410.