Articles in Refereed Journals 2012

  • G. Aki, J. Daube, W. Dreyer, J. Giesselmann, M. Kränkel, Ch. Kraus, A diffuse interface model for quasi-incompressible flows: Sharp interface limits and numerics, ESAIM Proceedings, 38 (2012) pp. 54--77.
  • S. Amiranashvili, U. Bandelow, A. Mielke, Calculation of ultrashort pulse propagation based on rational approximations for medium dispersion, Optical and Quantum Electronics, 44 (2012) pp. 241--246.
  • V. Tronciu, S. Schwertfeger, M. Radziunas, A. Klehr, U. Bandelow, H. Wenzel, Numerical simulation of the amplification of picosecond laser pulses in tapered semiconductor amplifiers and comparison with experimental results, Optics Communications, 285 (2012) pp. 2897--2904.
  • U. Bandelow, N. Akhmediev, Sasa--Satsuma equation: Soliton on a background and its limiting cases, Phys. Rev. E (3), 86 (2012) pp. 026606/1--026606/8.
  • U. Bandelow, N. Akhmediev, Persistence of rogue waves in extended nonlinear Schrödinger equations: Integrable Sasa--Satsuma case, Physics Letters A, 376 (2012) pp. 1558--1561.
  • C. Brée, S. Amiranashvili, U. Bandelow, Spatio-temporal pulse propagation in nonlinear dispersive optical media, Optical and Quantum Electronics, (2012) pp. 012963/1--012963/7.
  • A. Demircan, S. Amiranashvili, C. Brée, Ch. Mahnke, F. Mitschke, G. Steinmeyer, Rogue events in the group velocity horizon, Scientific Reports, 2 (2012) pp. 00850/1--00850/6.
  • C. Brée, A. Demircan, G. Steinmeyer, Kramers--Kronig relations and high order nonlinear susceptibilities, Physical Review A, 85 (2012) pp. 033806/1--033806/8.
  • M. Natale, A. Caiazzo, E.M. Bucci, E. Ficarra, A novel Gaussian extrapolation approach for 2D gel electrophoresis saturated protein spots, Genomics, Proteomics & Bioinformatics, 10 (2012) pp. 336--344.
  • W. Dreyer, P.-É. Druet, O. Klein, J. Sprekels, Mathematical modeling of Czochralski type growth processes for semiconductor bulk single crystals, Milan Journal of Mathematics, 80 (2012) pp. 311--332.
  • W. Dreyer, J. Giesselmann, Ch. Kraus, Ch. Rohde, Asymptotic analysis for Korteweg models, Interfaces and Free Boundaries. Mathematical Modelling, Analysis and Computation, 14 (2012) pp. 105--143.
  • W. Dreyer, F. Duderstadt, M. Hantke, G. Warnecke, Bubbles in liquids with phase transition, Continuum Mechanics and Thermodynamics, 24 (2012) pp. 461--483.
  • J. Elschner, G. Hu, Elastic scattering by unbounded rough surfaces, SIAM Journal on Mathematical Analysis, 44 (2012) pp. 4101--4127.
  • J. Elschner, G. Hu, An optimization method in inverse elastic scattering for one-dimensional grating profiles, Communications in Computational Physics, 12 (2012) pp. 1434--1460.
  • J. Elschner, G. Hu, Scattering of plane elastic waves by three-dimensional diffraction gratings, Mathematical Models & Methods in Applied Sciences, 22 (2012) pp. 1150019/1--1150019/34.
  • G. Faraud, Y. Hu, Z. Shi, Almost sure convergence for stochastically biased random walk on trees, Probability Theory and Related Fields, 154 (2012) pp. 621--660.
  • M.H. Farshbaf Shaker, A penalty approach to optimal control of Allen--Cahn variational inequalities: MPEC-view, Numerical Functional Analysis and Optimization. An International Journal, 33 (2012) pp. 1321--1349.
  • A. Fischer, P. Pahner, B. Lüssem, K. Leo, R. Scholz, Th. Koprucki, J. Fuhrmann, K. Gärtner, A. Glitzky, Self-heating effects in organic semiconductor crossbar structures with small active area, Organic Electronics, 13 (2012) pp. 2461--2468.
  • CH. Batallion, F. Bouchon, C. Chainais-Hillairet, J. Fuhrmann, E. Hoarau, R. Touzani, Numerical methods for the simulation of a corrosion model in a nuclear waste deep repository, Journal of Computational Physics, 231 (2012) pp. 6213--6231.
  • T. Girnyk, M. Hasler, Y. Maistrenko, Multistability of twisted states in non-locally coupled Kuramoto-type models, Chaos, Solitons and Fractals, 22 (2012) pp. 013114/1--013114/10.
  • A. Glitzky, An electronic model for solar cells including active interfaces and energy resolved defect densities, SIAM Journal on Mathematical Analysis, 44 (2012) pp. 3874--3900.
  • G. Benarous, O. Gün, Universality and extremal aging for the dynamics of spin glasses on subexponential time scales, Communications on Pure and Applied Mathematics, 65 (2012) pp. 77--127.
  • M. Gerdts, R. Henrion, D. Hömberg, Ch. Landry, Path planning and collision avoidance for robots, Numerical Algebra, Control and Optimization, 2 (2012) pp. 437--463.
  • R. Henrion, A. Möller, A gradient formula for linear chance constraints under Gaussian distribution, Mathematics of Operations Research, 37 (2012) pp. 475--488.
  • G. Colombo, R. Henrion, N.D. Hoang, B.S. Mordukhovich, Optimal control of the sweeping process, Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms, 19 (2012) pp. 117--159.
  • R. Henrion, J. Outrata, Th. Surowiec, On regular coderivatives in parametric equilibria with non-unique multiplier, Mathematical Programming. A Publication of the Mathematical Programming Society, 136 (2012) pp. 111--131.
  • R. Henrion, J. Outrata, Th. Surowiec, Analysis of M-stationary points to an EPEC modeling oligopolistic competition in an electricity spot market, ESAIM. Control, Optimisation and Calculus of Variations, 18 (2012) pp. 295--317.
  • R. Henrion, Gradient estimates for Gaussian distribution functions: Application to probabilistically constrained optimization problems, Numerical Algebra, Control and Optimization, 2 (2012) pp. 655--668.
  • D. Hömberg, J. Liu, N. Togobytska, Identification of the thermal growth characteristics of coagulated tumor tissue in laser-induced thermotherapy, Mathematical Methods in the Applied Sciences, 35 (2012) pp. 497--509.
  • W. Hackbusch, V. John, A. Khachatryan, C. Suciu, A numerical method for the simulation of an aggregation-driven population balance system, International Journal for Numerical Methods in Fluids, 69 (2012) pp. 1646--1660.
  • R. Bordás, V. John, E. Schmeyer, D. Thévenin, Measurement and simulation of a droplet population in a turbulent flow field, Computers and Fluids. Pergamon Press, Oxford., 66 (2012) pp. 52--62.
  • V. John, J. Novo, On (essentially) non-oscillatory discretizations of evolutionary convection-diffusion equations, Journal of Computational Physics, 231 (2012) pp. 1570--1586.
  • V. John, F. Thein, On the efficiency and robustness of the core routine of the quadrature method of moments (QMOM), Chemical Engineering Sciences, 75 (2012) pp. 327--333.
  • O. Klein , Representation of hysteresis operators for vector-valued inputs by functions on strings, Phys. B, 407 (2012) pp. 1399--1400.
  • O. Klein, Representation of hysteresis operators acting on vector-valued monotaffine functions, Advances in Mathematical Sciences and Applications, 22 (2012) pp. 471--500.
  • A. Fiaschi, D. Knees, U. Stefanelli, Young measure quasi-static damage evolution, Archive for Rational Mechanics and Analysis, 203 (2012) pp. 415--453.
  • D. Knees, A. Schröder, Global spatial regularity for elasticity models with cracks, contact and other nonsmooth constraints, Mathematical Methods in the Applied Sciences, 35 (2012) pp. 1859--1884.
  • K. Krumbiegel, I. Neitzel, A. Rösch, Regularization error estimates for semilinear elliptic optimal control problems with pointwise state and control constraints, Computational Optimization and Applications. An International Journal, 52 (2012) pp. 181--207.
  • W. König, M. Salvi, T. Wolff, Large deviations for the local times of a random walk among random conductances, Electronic Communications in Probability, 17 (2012) pp. 1--11.
  • M. Becker, W. König, Self-intersection local times of random walks: Exponential moments in subcritical dimensions, Probability Theory and Related Fields, 154 (2012) pp. 585--605.
  • S. Jansen, W. König, Ideal mixture approximation of cluster size distributions at low density, Journal of Statistical Physics, 147 (2012) pp. 963--980.
  • R. Eymard, Th. Gallouët, R. Herbin, A. Linke, Finite volume schemes for the biharmonic problem on general meshes, Mathematics of Computation, 81 (2012) pp. 2019--2048.
  • K. Galvin, A. Linke, L. Rebholz, N. Wilson, Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection, Computer Methods in Applied Mechanics and Engineering, 237--240 (2012) pp. 166--176.
  • A. Wilms, D. Breddermann, P. Mathé, Theory of direct capture from two- and three-dimensional reservoirs to quantum dot states, physica status solidi (c), 9 (2012) pp. 1278--1281.
  • G. Blanchard, P. Mathé, Discrepancy principle for statistical inverse problems with application to conjugate gradient iteration, Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data, 28 (2012) pp. 115011/1--115011/23.
  • B. Hofmann, P. Mathé, Parameter choice in Banach space regularization under variational inequalities, Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data, 28 (2012) pp. 104006/1--104006/17.
  • B. Hofmann, P. Mathé, Some note on the modulus of continuity for ill-posed problems in Hilbert space, Trudy Instituta Matematiki i Mekhaniki UrO RAN, 18 (2012) pp. 34--41.
  • A. Mielke, T. Roubíček, M. Thomas, From damage to delamination in nonlinearly elastic materials at small strains, Journal of Elasticity. The Physical and Mathematical Science of Solids, 109 (2012) pp. 235--273.
  • K. Hackl, S. Heinz, A. Mielke, A model for the evolution of laminates in finite-strain elastoplasticity, ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik, 92 (2012) pp. 888--909.
  • S. Arnrich, A. Mielke, M.A. Peletier, G. Savaré, M. Veneroni, Passing to the limit in a Wasserstein gradient flow: From diffusion to reaction, Calculus of Variations and Partial Differential Equations, 44 (2012) pp. 419--454.
  • S. Bartels, A. Mielke, T. Roubíček, Quasistatic small-strain plasticity in the limit of vanishing hardening and its numerical approximation, SIAM Journal on Numerical Analysis, 50 (2012) pp. 951--976.
  • A. Mielke, R. Rossi, G. Savaré, Variational convergence of gradient flows and rate-independent evolutions in metric spaces, Milan Journal of Mathematics, 80 (2012) pp. 381--410.
  • A. Mielke, R. Rossi, G. Savaré, BV solutions and viscosity approximations of rate-independent systems, ESAIM. Control, Optimisation and Calculus of Variations, 18 (2012) pp. 36--80.
  • A. Mielke, L. Truskinovsky, From discrete visco-elasticity to continuum rate-independent plasticity: Rigorous results, Archive for Rational Mechanics and Analysis, 203 (2012) pp. 577--619.
  • A. Mielke, Generalized Prandtl--Ishlinskii operators arising from homogenization and dimension reduction, Phys. B, 407 (2012) pp. 1330--1335.
  • A. Mielke, Emergence of rate-independent dissipation from viscous systems with wiggly energies, Continuum Mechanics and Thermodynamics, 24 (2012) pp. 591--606.
  • M. Malamud, H. Neidhardt, Sturm--Liouville boundary value problems with operator potentials and unitary equivalence, Journal of Differential Equations, 252 (2012) pp. 5875--5922.
  • O. Omel'chenko, M. Wolfrum, S. Yanchuk, Y. Maistrenko, O. Sudakov, Stationary patterns of coherence and incoherence in two-dimensional arrays of non-locally coupled phase oscillators, Phys. Rev. E (3), 85 (2012) pp. 036210/1--036210/5.
  • O. Omel'chenko, M. Wolfrum, Nonuniversal transitions to synchrony in the Sakaguchi--Kuramoto model, Physical Review Letters, 109 (2012) pp. 164101/1--164101/4.
  • R.I.A. Patterson, W. Wagner, A stochastic weighted particle method for coagulation-advection problems, SIAM Journal on Scientific Computing, 34 (2012) pp. B290--B311.
  • S. Becker, K. Tabelow, H.U. Voss, A. Anwander, R.M. Heidemann, J. Polzehl, Position-orientation adaptive smoothing of diffusion weighted magnetic resonance data (POAS), Medical Image Analysis, 16 (2012) pp. 1142--1155.
  • K. Tabelow, H.U. Voss, J. Polzehl, Modeling the orientation distribution function by mixtures of angular central Gaussian distributions, Journal of Neuroscience Methods, 203 (2012) pp. 200--211.
  • C. Pfüller, M. Ramsteiner, O. Brandt, F. Grosse, A. Rathsfeld, G. Schmidt, L. Geelhaar, H. Riechert, Raman spectroscopy as a probe for the coupling of light into ensembles of sub-wavelength-sized nanowires, Applied Physics Letters, 101 (2012) pp. 083104/1--083104/4.
  • H. Gross, M.-A. Henn, S. Heidenreich, A. Rathsfeld, M. Bär, Modeling of line roughness and its impact on the diffraction intensities and the reconstructed critical dimensions in scatterometry, Applied Optics, 51 (2012) pp. 7384--7394.
  • M.-A. Henn, S. Heidenreich, H. Gross, A. Rathsfeld, F. Scholze, M. Bär, Improved grating reconstruction by determination of line roughness in extreme ultraviolet scatterometry, Optics Letters, 37 (2012) pp. 5229--5231.
  • A.F.M. TER Elst, J. Rehberg, $L^infty$-estimates for divergence operators on bad domains, Analysis and Applications, 10 (2012) pp. 207--214.
  • L. Goray, G. Schmidt, Analysis of two-dimensional photonic band gaps of any rod shape and conductivity using a conical-integral-equation method, Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, 85 (2012) pp. 036701/1--036701/12.
  • A. Mahayni, J.G.M. Schoenmakers, Minimum return guarantees with funds switching rights --- An optimal stopping problem, Journal of Economic Dynamics & Control, 35 (2012) pp. 1880--1897.
  • A. Papapantoleon, J.G.M. Schoenmakers, D. Skovmand, Efficient and accurate log-Lévy approximations to Lévy driven LIBOR models, Journal of Computational Finance, 15 (2012) pp. 3--44.
  • J.G.M. Schoenmakers, A pure martingale dual for multiple stopping, Finance and Stochastics, 16 (2012) pp. 319--334.
  • V. Spokoiny, Parametric estimation. Finite sample theory, The Annals of Statistics, 40 (2012) pp. 2877--2909.
  • P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels, Global existence for a strongly coupled Cahn--Hilliard system with viscosity, Bollettino della Unione Matematica Italiana. Serie 9, 5 (2012) pp. 495--513.
  • P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels, Distributed optimal control of a nonstandard system of phase field equations, Continuum Mechanics and Thermodynamics, 24 (2012) pp. 437--459.
  • P. Colli, G. Gilardi, P. Podio-Guidugli, J. Sprekels, Continuous dependence for a nonstandard Cahn--Hilliard system with nonlinear atom mobility, Rendiconti del Seminario Matematico. Universita e Politecnico Torino, 70 (2012) pp. 27--52.
  • P. Colli, G. Gilardi, J. Sprekels, Analysis and optimal boundary control of a nonstandard system of phase field equations, Milan Journal of Mathematics, 80 (2012) pp. 119--149.
  • T. Streckenbach, Parameter determination of an evolution model for phase transformations in steel, ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik, 92 (2012) pp. 217--235.
  • T. Habruseva, S.P. Hegarty, A.G. Vladimirov, A. Pimenov, D. Rachinskii, N. Rebrova, E.A. Viktorov, G. Huyet, Bistable regimes in an optically injected mode-locked laser, Optics Express, 20 (2012) pp. 25572--25583.
  • D. Turaev, A.G. Vladimirov, S. Zelik, Long range interaction and synchronization of oscillating dissipative solitons, Physical Review Letters, 108 (2012) pp. 263906/1--263906/5.
  • CH. Otto, K. Lüdge, A.G. Vladimirov, M. Wolfrum, E. Schöll, Delay induced dynamics and jitter reduction of passively mode-locked semiconductor lasers subject to optical feedback, New Journal of Physics, 14 (2012) pp. 113033/1-113033/29.
  • M. Tlidi, E. Averlant, A.G. Vladimirov, K. Panajotov, Delay feedback induces a spontaneous motion of two-dimensional cavity solitons in driven semiconductor microcavities, Physical Review A, 86 (2012) pp. 033822/1--033822/8.
  • J. Schmidt, R. Prignitz, D. Peschka, A. Münch, B. Wagner, E. Bänsch, W. Peukert, Conductivity in nonpolar media: Experimental and numerical studies on sodium AOT-hexadecane, lecithin-hexadecane and aluminum(III)-3,5-diisopropyl salicylate-hexadecane systems, Journal of Colloid and Interface Science, 386 (2012) pp. 240--251.
  • S. Shekar, W.J. Menz, A.J. Smith, M. Kraft, W. Wagner, On a multivariate population balance model to describe the structure and composition of silica nanoparticles, Comput. Chem. Engng., 43 (2012) pp. 130--147.
  • B. Fiedler, C. Rocha, M. Wolfrum, A permutation characterization of Sturm global attractors of Hamiltonian type, Journal of Differential Equations, 252 (2012) pp. 588--623.
  • B. Fiedler, C. Rocha, M. Wolfrum, Sturm global attractors for S$^1$-equivariant parabolic equations, Networks Heterogeneous Media, 7 (2012) pp. 617--659.
  • M. Wolfrum, The Turing bifurcation in network systems: Collective patterns and single differentiated nodes, Physica D. Nonlinear Phenomena, 241 (2012) pp. 1351--1357.
  • P.-E. Druet, The classical solvability of the contact angle problem for generalized equations of mean curvature type, Portugaliae Mathematica. A Journal of the Portuguese Mathematical Society, 69 (2012) pp. 233--258.
  • G. Hu, F. Qu, B. Zhang, A linear sampling method for inverse problems of diffraction gratings of mixed type, Mathematical Methods in the Applied Sciences, 35 (2012) pp. 1047--1066.
  • G. Hu, Inverse wave scattering by unbounded obstacles: Uniqueness for the two-dimensional Helmholtz equation, Applicable Analysis. An International Journal, 91 (2012) pp. 703--717.
  • M. Liero, Th. Roche, Rigorous derivation of a plate theory in linear elastoplasticity via $Gamma$-convergence, NoDEA. Nonlinear Differential Equations and Applications, 19 (2012) pp. 437--457.
  • A. Pimenov, T.C. Kelly, A. Korobeinikov, M.J.A. O'Callaghan, A.V. Pokrovskii, D. Rachinskii, Memory effects in population dynamics: Spread of infectious disease as a case study, Mathematical Modelling of Natural Phenomena, 7 (2012) pp. 204--226.
  • R. Herrero, M. Botey, M. Radziunas, K. Staliunas, Beam shaping in spatially modulated broad area semiconductor amplifiers, Optics Letters, 37 (2012) pp. 5253--5255.
  • M. Lichtner, V.Z. Tronciu, A.G. Vladimirov, Theoretical investigations of striped and non-striped broad area lasers with off-axis feedback, IEEE J. Quantum Electron., 48 (2012) pp. 353--360.
  • I. Müller, W. Weiss, Thermodynamics of irreversible processes --- Past and present, European Physical Journal H, 37 (2012) pp. 139--236.
  • R. Driben, I. Babushkin, Accelerated rogue waves generated by soliton fusion at the advanced stage of supercontinuum formation in photonic-crystal fibers, Optics Letters, 37 (2012) pp. 5157--5159.
  • P. Friz, J. Diehl, Backward stochastic differential equations with rough drivers, The Annals of Probability, 40 (2012) pp. 1715--1758.
  • U.K. Sapaev, I. Babushkin, J. Herrmann, Quasi-phase-matching for third harmonic generation in noble gases employing ultrasound, Optics Express, 20 (2012) pp. 22753--22762.