WIAS Preprint List: Sprekels, J�rgen
- 3128: Colli, Pierluigi; Sprekels, Jürgen
Hyperbolic relaxation of the chemical potential in the viscous Cahn--Hilliard equation
- 3118: Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen
Solvability and optimal control of a multi-species Cahn--Hilliard--Keller--Segel tumor growth model
- 3114: Colli, Pierluigi; Sprekels, Jürgen
Second-order optimality conditions for the sparse optimal control of nonviscous Cahn--Hilliard systems
- 3094: Colli, Pierluigi; Sprekels, Jürgen; Tröltzsch, Fredi
Optimality conditions for sparse optimal control of viscous Cahn--Hilliard systems with logarithmic potential
Appeared in: Appl. Math. Optim., 90 (2024), pp. 47/1--47/48, DOI 10.1007/s00245-024-10187-6 . - 3085: Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen
Curvature effects in pattern formation: Well-posedness and optimal control of a sixth-order Cahn--Hilliard equation
Appeared in: SIAM J. Math. Anal., 56 (2024), pp. 4928--4969, DOI 10.1137/24M1630372 . - 3020: Sprekels, Jürgen; Tröltzsch, Fredi
Second-order sufficient conditions in the sparse optimal control of a phase field tumor growth model with logarithmic potential
Appeared in: ESAIM Control Optim. Calc. Var., 30 (2024), pp. 13/1--13/25, DOI 10.1051/cocv/2023084 . - 3005: Sprekels, Jürgen; Tröltzsch, Fredi
Second-order sufficient conditions for sparse optimal control of singular Allen--Cahn systems with dynamic boundary conditions
Appeared in: Discrete Contin. Dyn. Syst. Ser. S, 16 (2023), pp. 3784--3812 (published online in Sept. 2023), DOI 10.3934/dcdss.2023163 . - 3003: Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen
Optimal temperature distribution for a nonisothermal Cahn--Hilliard system in two dimensions with source term and double obstacle potential
Appeared in: Ann. Acad. Rom. Sci. Math. Appl., 15 (2023), pp. 175--204, DOI 10.56082/annalsarscimath.2023.1-2.175 . - 2997: Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen
Optimal temperature distribution for a nonisothermal Cahn--Hilliard system with source term
Appeared in: Appl. Math. Optim., 88 (2023), pp. 68/1--68/31, DOI 10.1007/s00245-023-10039-9 . - 2950: Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen
On a Cahn--Hilliard system with source term and thermal memory
Appeared in: Nonlinear Analysis, 240 (2024), pp. 113461/1--113461/16 (published online on 14.12.2023), DOI 10.1016/j.na.2023.113461 . - 2949: Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen
Optimal control of a nonconserved phase field model of Caginalp type with thermal memory and double obstacle potential
Appeared in: Discrete Contin. Dyn. Syst. Ser. S, 16 (2023), pp. 2305--2325, DOI 10.3934/dcdss.2022210 . - 2939: Colli, Pierluigi; Gilardi, Gianni; Signori, Andrea; Sprekels, Jürgen
Cahn--Hilliard--Brinkman model for tumor growth with possibly singular potentials
Appeared in: Nonlinearity, 36 (2023), pp. 4470--4500, DOI https://doi.org/10.1088/1361-6544/ace2a7 . - 2867: Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
Well-posedness and optimal control for a Cahn--Hilliard--Oono system with control in the mass term
Appeared in: Discrete Contin. Dyn. Syst. Ser. S, 15 (2022), pp. 2135--2172, DOI 10.3934/dcdss.2022001 . - 2863: Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen
Analysis and optimal control theory for a phase field model of Caginalp type with thermal memory
Appeared in: Commun. Optim. Theory, 2022 (2022), pp. 4/1--4/31, DOI 10.23952/cot.2022.4 . - 2845: Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen
Optimal control problems with sparsity for phase field tumor growth models involving variational inequalities
Appeared in: J. Optim. Theory Appl., 194 (2022), pp. 25--58 (published online on 28.02.2022), DOI 10.1007/s10957-022-02000-7 . - 2842: Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
Analysis of a tumor model as a multicomponent deformable porous medium
Appeared in: Interfaces Free Bound., 24 (2022), pp. 235--262, DOI 10.4171/IFB/472 . - 2832: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities
Appeared in: Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 33 (2022), pp. 193--228, DOI 10.4171/rlm/969 . - 2770: Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen
Second-order analysis of an optimal control problem in a phase field tumor growth model with singular potentials and chemotaxis
Appeared in: ESAIM Control Optim. Calc. Var., 27 (2021), pp. 73/1--73/46, DOI 10.1051/cocv/2021072 . - 2741: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
An asymptotic analysis for a generalized Cahn--Hilliard system with fractional operators
Appeared in: J. Evol. Equ., 21 (2021), pp. 2749 -- 2778 , DOI 10.1007/s00028-021-00706-1 . - 2725: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Optimal control of a phase field system of Caginalp type with fractional operators
Appeared in: Pure Appl. Funct. Anal., 7 (2022), pp. 1597--1635. - 2721: Sprekels, Jürgen; Tröltzsch, Fredi
Sparse optimal control of a phase field system with singular potentials arising in the modeling of tumor growth
Appeared in: ESAIM Control Optim. Calc. Var., 27 (2021), pp. S26/1--S26/27, DOI 10.1051/cocv/2020088 . - 2625: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Asymptotic analysis of a tumor growth model with fractional operators
Appeared in: Asymptot. Anal., 120 (2020), pp. 41--72, DOI 10.3233/ASY-191578 . - 2616: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
A distributed control problem for a fractional tumor growth model
Appeared in: Mathematics, 7 (2019), pp. 792/1--792/32, DOI 10.3390/math7090792 . - 2614: Colli, Pierluigi; Signori, Andrea; Sprekels, Jürgen
Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials
Appeared in: Appl. Math. Optim., 83 (2021), pp. 2017--2049 (published online on 21.10.2019), and 2021 Correction to: Optimal control of a phase field system modelling tumor growth with chemotaxis and singular potentials (https://doi.org/10.1007/s00245-021-09771-x), DOI 10.1007/s00245-019-09618-6 . - 2613: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Well-posedness and regularity for a fractional tumor growth model
Appeared in: Adv. Math. Sci. Appl., 28 (2019), pp. 343--375. - 2588: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Longtime behavior for a generalized Cahn--Hilliard system with fractional operators
Appeared in: Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur., 98 (2020), pp. A4/1--A4/18, DOI 10.1478/AAPP.98S2A4 . - 2559: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Deep quench approximation and optimal control of general Cahn--Hilliard systems with fractional operators and double obstacle potentials
Appeared in: Discrete Contin. Dyn. Syst. Ser. S, 14 (2021), pp. 243--271, DOI 10.3934/dcdss.2020213 . - 2549: Nestler, Peter; Schlömer, Nico; Klein, Olaf; Sprekels, Jürgen; Tröltzsch, Fredi
Optimal control of semiconductor melts by traveling magnetic fields
Appeared in: Vietnam J. Math., 47 (2019), pp. published online on 02.08.2019 (793--812), DOI 10.1007/s10013-019-00355-5 . - 2548: Sprekels, Jürgen; Wu, Hao
Optimal distributed control of a Cahn--Hilliard--Darcy system with mass sources
Appeared in: Appl. Math. Optim., 83 (2021), pp. 489--530 (published online on 24.01.2019), DOI 10.1007/s00245-019-09555-4 . - 2519: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Optimal distributed control of a generalized fractional Cahn--Hilliard system
Appeared in: Appl. Math. Optim., 82 (2020), pp. 551--589 (published online on 15.11.2018), DOI 10.1007/s00245-018-9540-7 . - 2509: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Well-posedness and regularity for a generalized fractional Cahn--Hilliard system
Appeared in: Rend. Lincei Mat. Appl., (2019), pp. 437--478, DOI 10.20347/WIAS.PREPRINT.2509 . - 2495: Gilardi, Gianni; Sprekels, Jürgen
Asymptotic limits and optimal control for the Cahn--Hilliard system with convection and dynamic boundary conditions
Appeared in: Nonlinear Analysis, 178 (2019), pp. 1--31, DOI 10.1016/j.na.2018.07.007 . - 2494: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
On the longtime behavior of a viscous Cahn--Hilliard system with convection and dynamic boundary conditions
Appeared in: J. Elliptic Parabol. Equ., 4 (2018), pp. 327--347, DOI 10.1007/s41808-018-0021-6 . - 2473: Frigeri, Sergio; Grasselli, Maurizio; Sprekels, Jürgen
Optimal distributed control of two-dimensional nonlocal Cahn--Hilliard--Navier--Stokes systems with degenerate mobility and singular potential
Appeared in: Appl. Math. Optim., 81 (2020), pp. 889--931 (published online on 24.09.2018), DOI 10.1007/s00245-018-9524-7 . - 2428: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Optimal velocity control of a convective Cahn--Hilliard system with double obstacles and dynamic boundary conditions: A `deep quench' approach
Appeared in: J. Convex Anal., 26 (2019), pp. 485--514 . - 2427: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Optimal velocity control of a viscous Cahn--Hilliard system with convection and dynamic boundary conditions
Appeared in: SIAM J. Control Optim., 56 (2018), pp. 1665--1691, DOI 10.1137/17M1146786 . - 2391: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
On a Cahn--Hilliard system with convection and dynamic boundary conditions
Appeared in: Ann. Mat. Pura Appl. IV. Ser., 197 (2018), pp. 1445--1475, DOI 10.1007/s10231-018-0732-1 . - 2384: Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
Unsaturated deformable porous media flow with phase transition
Appeared in: Math. Models Methods Appl. Sci., 27 (2017), pp. 2675--2710, DOI 10.1142/S0218202517500555 . - 2370: Colli, Pierluigi; Sprekels, Jürgen
Optimal boundary control of a nonstandard Cahn--Hilliard system with dynamic boundary condition and double obstacle inclusions
Appeared in: Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs: In Honour of Prof. Gianni Gilardi, P. Colli, A. Favini, E. Rocca, G. Schimperna, J. Sprekels, eds., vol. 22 of Springer INdAM Series, Springer International Publishing, 2017, pp. 151--182, DOI 10.1007/978-3-319-64489-9 . - 2369: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Limiting problems for a nonstandard viscous Cahn--Hilliard system with dynamic boundary conditions
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. 217--242, DOI 10.1007/978-3-319-75940-1_11 . - 2309: Frigeri, Sergio Petro; Gal, Ciprian G.; Grasselli, Maurizio; Sprekels, Jürgen
Strong solutions to nonlocal 2D Cahn--Hilliard--Navier--Stokes systems with nonconstant viscosity, degenerate mobility and singular potential
Appeared in: Nonlinearity, 32 (2019), pp. 678--727, DOI 10.1088/1361-6544/aaedd0 . - 2307: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Optimal boundary control of a nonstandard viscous Cahn--Hilliard system with dynamic boundary condition
Appeared in: Nonlinear Analysis, 170 (2018), pp. 171--196, DOI 10.1016/j.na.2018.01.003 . - 2284: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Global existence for a nonstandard viscous Cahn--Hilliard system with dynamic boundary condition
Appeared in: SIAM J. Math. Anal., 49 (2017), pp. 1732--1760, DOI 10.1137/16M1087539 . - 2277: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential
Appeared in: Evol. Equ. Control Theory, 6 (2017), pp. 35--58. - 2266: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Distributed optimal control of a nonstandard nonlocal phase field system
Appeared in: AIMS Math., 1 (2016), pp. 246--281. - 2232: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Constrained evolution for a quasilinear parabolic equation
Appeared in: J. Optim. Theory Appl., 170 (2016), pp. 713--734. - 2228: Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
Optimal distributed control of a diffuse interface model of tumor growth
Appeared in: Nonlinearity, 30 (2017), pp. 2518--2546. - 2214: Sprekels, Jürgen; Valdinoci, Enrico
A new type of identification problems: Optimizing the fractional order in a nonlocal evolution equation
Appeared in: SIAM J. Control Optim., 55 (2017), pp. 70--93. - 2181: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
On an application of Tikhonov's fixed point theorem to a nonlocal Cahn--Hilliard type system modeling phase separation
Appeared in: J. Differential Equations, 260 (2016), pp. 7940--7964. - 2095: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
A boundary control problem for the pure Cahn--Hilliard equation with dynamic boundary conditions
Appeared in: Adv. Nonlinear Anal., 4 (2015) pp. 311--325. - 2093: Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
Asymptotic analyses and error estimates for a Cahn--Hilliard type phase field system modelling tumor growth
Appeared in: Discrete Contin. Dyn. Syst., 10 (2017), pp. 37--54. - 2077: Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
Vanishing viscosities and error estimate for a Cahn--Hilliard type phase field system related to tumor growth
Appeared in: Nonlinear Anal. Real World Appl., 26 (2015) pp. 93--108. - 2036: Frigeri, Sergio Pietro; Rocca, Elisabetta; Sprekels, Jürgen
Optimal distributed control of a nonlocal Cahn--Hilliard/Navier--Stokes system in 2D
Appeared in: SIAM J. Control Optim., 54 (2016), pp. 221 -- 250. - 2032: Colli, Pierluigi; Farshbaf Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen
Second-order analysis of a boundary control problem for the viscous Cahn--Hilliard equation with dynamic boundary condition
Appeared in: Ann. Acad. Rom. Sci. Math. Appl., 7 (2015) pp. 41--66 . - 2006: Colli, Pierluigi; Farshbaf Shaker, Mohammad Hassan; Gilardi, Gianni; Sprekels, Jürgen
Optimal boundary control of a viscous Cahn--Hilliard system with dynamic boundary condition and double obstacle potentials
Appeared in: SIAM J. Control Optim., 53 (2015) pp. 2696--2721. - 1983: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
A boundary control problem for the viscous Cahn--Hilliard equation with dynamic boundary conditions
Appeared in: Appl. Math. Optim., 73 (2016), pp. 195--225, DOI 10.1007/s00245-015-9299-z . - 1930: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
On the Cahn--Hilliard equation with dynamic boundary conditions and a dominating boundary potential
Appeared in: J. Math. Anal. Appl., 419 (2014) pp. 972--994. - 1838: Colli, Pierluigi; Farshbaf Shaker, Mohammad Hassan; Sprekels, Jürgen
A deep quench approach to the optimal control of an Allen--Cahn equation with dynamic boundary conditions and double obstacles
Appeared in: Appl. Math. Optim., 71 (2015) pp. 1--24. - 1784: Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Podio-Guidugli, Paolo; Sprekels, Jürgen
Analysis of a time discretization scheme for a nonstandard viscous Cahn--Hilliard system
Appeared in: ESAIM Math. Model. Numer. Anal., 48 (2014) pp. 1061--1087. - 1779: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Regularity of the solution to a nonstandard system of phase field equations
Appeared in: Rend. Cl. Sci. Mat. Nat., 147 (2013) pp. 3--19. - 1778: Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
A continuous dependence result for a nonstandard system of phase field equations
Appeared in: Math. Methods Appl. Sci., 37 (2014) pp. 1318--1324. - 1758: Colli, Pierluigi; Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
A vanishing diffusion limit in a nonstandard system of phase field equations
Appeared in: Evol. Equ. Control Theory, 3 (2014) pp. 257--275. - 1750: Colli, Pierluigi; Sprekels, Jürgen
Optimal control of an Allen--Cahn equation with singular potentials and dynamic boundary condition
Appeared in: SIAM J. Control Optim., 53 (2015) pp. 213--234. - 1742: Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
Continuous dependence for a nonstandard Cahn--Hilliard system with nonlinear atom mobility
Appeared in: Rend. Semin. Mat. Univ. Politec. Torino, 70 (2012) pp. 27--52. - 1713: Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
Global existence and uniqueness for a singular/degenerate Cahn--Hilliard system with viscosity
Appeared in: J. Differential Equations, 254 (2013) pp. 4217--4244. - 1691: Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
Global existence for a strongly coupled Cahn--Hilliard system with viscosity
Appeared in: Boll. Unione Mat. Ital. (9), 5 (2012) pp. 495--513. - 1689: Dreyer, Wolfgang; Druet, Pierre-Étienne; Klein, Olaf; Sprekels, Jürgen
Mathematical modeling of Czochralski type growth processes for semiconductor bulk single crystals
Appeared in: Milan J. Math., 80 (2012) pp. 311--332 . - 1681: Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
Analysis and optimal boundary control of a nonstandard system of phase field equations
Appeared in: Milan J. Math., 80 (2012) pp. 119--149. - 1652: Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
An asymptotic analysis for a nonstandard Cahn--Hilliard system with viscosity
Appeared in: Discrete Contin. Dyn. Syst. Ser. S, 6 (2013) pp. 353--368. - 1630: Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
Distributed optimal control of a nonstandard system of phase field equations
Appeared in: Contin. Mech. Thermodyn., 24 (2012) pp. 437--459. - 1602: Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
Well-posedness and long-time behavior for a nonstandard viscous Cahn--Hilliard system
Appeared in: SIAM J. Appl. Math., 71 (2011) pp. 1849--1870. - 1580: Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
A nonlocal quasilinear multi-phase system with nonconstant specific heat and heat conductivity
Appeared in: J. Differential Equations, 251 (2011) pp. 1354--1387. - 1572: Sprekels, Jürgen; Tiba, Dan
Extensions of the control variational method
Appeared in: Control Cybernet., 40 (2011) pp. 1099--1108. - 1430: Krejčí, Pavel; Sprekels, Jürgen; Wu, Hao
Elastoplastic Timoshenko beams
- 1422: Druet, Pierre-Étienne; Klein, Olaf; Sprekels, Jürgen; Tröltzsch, Fredi; Yousept, Irwin
Optimal control of 3D state-constrained induction heating problems with nonlocal radiation effects
Appeared in: SIAM J. Control Optim., 49 (2011) pp. 1707--1736. - 1378: Sprekels, Jürgen; Wu, Hao
A note on a parabolic equation with nonlinear dynamical boundary condition
Appeared in: Nonlinear Anal., 72 (2010) pp. 3028--3048. - 1246: Guenther, Ronald B.; Krejčí, Pavel; Sprekels, Jürgen
Small strain oscillations of an elastoplastic Kirchhoff plate
Appeared in: ZAMM Z. Angew. Math. Mech., 88 (2008) pp. 199--217. - 1209: Sprekels, Jürgen; Tiba, Dan
An optimal control approach to curved rods
Appeared in: SIAM J. Control. Optim, 47 (2009), pp. 3220-3236, in extended form as "The control variational approach for differential systems" - 1187: Lefter, Catalin; Sprekels, Jürgen
Optimal boundary control of a phase field system modeling nonisothermal phase transitions
Appeared in: Adv. Math. Sci. Appl., 17 (2007) pp. 181-194. - 1143: Krejčí, Pavel; Sprekels, Jürgen
The von Mises model for one-dimensional elastoplastic beams and Prandtl--Ishlinskii hysteresis operators
Appeared in: Math. Methods Appl. Sci., 30 (2007) pp. 2371--2393. - 1115: Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
A nonlocal phase-field model with nonconstant specific heat
Appeared in: Interfaces Free Bound., 9 (2007) pp. 285--306. - 1006: Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
Nonlocal temperature-dependent phase-field models for non-isothermal phase transitions
Appeared in: J. London Math. Soc. (2), 76 (2007) pp. 197-210. - 974: Colli, Pierluigi; Krejčí, Pavel; Rocca, Elisabetta; Sprekels, Jürgen
Nonlinear evolution inclusions arising from phase change models
Appeared in: Czechoslovak Math. J., 57 (2007) pp. 1067-1098. - 958: Arnautu, Viorel; Sprekels, Jürgen; Tiba, Dan
A reduction approximation method for curved rods
Appeared in: Numer. Funct. Anal. Optim., Volume 26 (2005), pp. 139-155 - 882: Krejčí, Pavel; Sprekels, Jürgen
Nonlocal phase-field models for non-isothermal phase transitions and hysteresis
Appeared in: Adv. Math. Sci. Appl., Volume 14, No. 2 (2004), pp. 593-612 - 863: Sprekels, Jürgen; Tiba, Dan
Optimal design of mechanical structures
Appeared in: Chapter 18 of “Control Theory of Partial Differential Equations” (O. Imanuvilov, G. Leugering, R. Triggiani, B.-Y. Zhang, eds.), Pure and Applied Mathematics Series 242, 2005, Chapman & Hall, Boca Raton, pp. 239-271. - 812: Arnautu, Viorel; Sprekels, Jürgen; Tiba, Dan
Optimization problems for curved mechanical structures
Appeared in: SIAM J. Control Optim., Volume 44 (2005), pp. 743-775 - 747: Sprekels, Jürgen; Tiba, Dan
Optimization of ordinary differential systems with hysteresis
Appeared in: “Analysis and Optimization of Differential Systems” (V. Barbu, I. Lasiecka, D. Tiba, C. Varsan, eds.), Kluver Acad. Publishers, 2003, Boston/Dordrecht/London, pp. 387-398 - 702: Krejčí, Pavel; Sprekels, Jürgen; Stefanelli, Ulisse
One-dimensional thermo-visco-plastic processes with hysteresis and phase transitions
Appeared in: Adv. Math. Sci. Appl., Volume 13, No.2 (2003), 695-712 - 698: Sprekels, Jürgen; Zheng, Songmu
Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions
Appeared in: J. Math. Anal. Appl., 279 (2003), pp. 97-110 - 678: Krejčí, Pavel; Sprekels, Jürgen
Singular limit in parabolic differential inclusions and the stop operator
Appeared in: Interfaces and Free Boundaries, 4 (2002), pp. 423-435 - 666: Bonetti, Elena; Colli, Pierluigi; Dreyer, Wolfgang; Gilardi, Gianni; Schimperna, Giulio; Sprekels, Jürgen
On a model for phase separation in binary alloys driven by mechanical effects
Appeared in: Phys. D, 165 (2002), pp. 48--65 - 665: Kenmochi, Nobuyuki; Sprekels, Jürgen
Phase-field systems with vectorial order parameters including diffusional hysteresis effects
Appeared in: Comm. Pure Appl. Anal. 4 (2002), pp. 495-511 - 655: Krejčí, Pavel; Sprekels, Jürgen; Stefanelli, Ulisse
Phase-field models with hysteresis in one-dimensional thermo-visco-plasticity
Appeared in: SIAM J. Math. Anal., Vol.34, 2 (2002), pp. 409-434 - 648: Sprekels, Jürgen; Krejčí, Pavel
Phase-field systems for multi-dimensional Prandtl-Ishlinskii operators with non-polyhedral characteristics
Appeared in: Math. Methods Appl. Sci.,25 (2002), pp. 309--325 - 643: Sprekels, Jürgen; Tiba, Dan
An analytic approach to a generalized Naghdi shell model
Appeared in: Adv. Math. Sci. Appl., 12/1 (2002), 175--190 - 613: Ignat, Anca; Sprekels, Jürgen; Tiba, Dan
A model of a general elastic curved rod
Appeared in: Math. Methods App. Sci. 25 (2002), no. 10, pp. 835-854 - 610: Sprekels, Jürgen; Tiba, Dan
Control variational methods for differential equations
Appeared in: Optimal Control of Complex Structures (Hoffmann, K.-H., Lasiecka, I., Leugering, G., Sprekels, J., Troeltzsch, F., eds.), International Series of Numerical Mathematics, 139, 2002,Birkhaeuser, Basel [u.a.], pp. 245--257 - 581: Ignat, Anca; Sprekels, Jürgen; Tiba, Dan
Analysis and optimization of nonsmooth mechanical structures
Appeared in: SIAM J. Control Optim., 40 (2001), pp. 1107--1133 - 552: Klein, Olaf; Philip, Peter; Sprekels, Jürgen; Wilmański, Krzysztof
Radiation- and convection-driven transient heat transfer during sublimation growth of silicon carbide single crystals
Appeared in: Journal of Crystal Growth, 222 (2001), pp. 832-851 - 550: Sprekels, Jürgen; Tiba, Dan
Sur les arches lipschitziennes
Appeared in: C. R. Acad. Sci. Paris, t. 331 (2000), Serie I, pp. 179-184 - 520: Krejčí, Pavel; Sprekels, Jürgen; Zheng, Songmu
Asymptotic behaviour for a phase-field system with hysteresis
Appeared in: J. Differential Equations, 175 (2001), pp. 88--107 - 497: Gilardi, Gianni; Krejčí, Pavel; Sprekels, Jürgen
Hysteresis in phase-field models with thermal memory
Appeared in: Math. Methods Appl. Sci., 23(2000), pp. 909-922 - 458: Krejčí, Pavel; Sprekels, Jürgen
Phase-field models with hysteresis
Appeared in: J. Math. Anal., 252 (2000), pp. 198-219 - 443: Bubner, Nikolaus; Klein, Olaf; Philip, Peter; Sprekels, Jürgen; Wilmánski, Krzysztof
A Transient Model for the Sublimation Growth of Silicon Carbide Single Crystals
Appeared in: Journal of Crystal Growth Vol 205 (1999), pp 294-304 - 440: Soltanov, Kamal N.; Sprekels, Jürgen
Nonlinear equations in non-reflexive Banach spaces and strongly nonlinear differential equations
Appeared in: Adv. Math. Sci. Appl., 9 (1999), No. 2, pp. 939-972 - 410: Sprekels, Jürgen; Tiba, Dan
Generalized bang-bang properties in the optimization of plates
Appeared in: C. R. Acad. Sci. Paris, t. 327 serie I, 705-710 (1998) - 390: Krejčí, Pavel; Sprekels, Jürgen
Hysteresis operators in phase-field models of Penrose-Fife type
Appeared in: Appl. Math. 43 (1998), pp.207-222 - 365: Sprekels, Jürgen; Zheng, Songmu
Maximal Attractor for the System of a Landau-Ginzburg Theory for Structural Phase Transitions in Shape Memory Alloys
Appeared in: Physica D 121, pp. 252-262 - 364: Krejčí, Pavel; Sprekels, Jürgen
A hysteresis approach to phase-field models
Appeared in: Nonlinear Anal., 39 (2000), pp. 569-586 - 357: Arnautu, Viorel; Langmach, Hartmut; Sprekels, Jürgen; Tiba, Dan
On the approximation and the optimization of plates
Appeared in: Numer. Funct. Anal. Optim., 21 (2000), No. 3-4,pp. 337-354 - 351: Colli, Pierluigi; Sprekels, Jürgen
Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier Law
Appeared in: Adv. Math. Sci. Appl., 9 (1999), no. 1, pp. 383-391 - 344: Krejčí, Pavel; Sprekels, Jürgen
Temperature-Dependent Hysteresis in One-Dimensional Thermovisco-Elastoplasticity
Appeared in: Appl. Math., 43 (1998), pp. 173-205 - 335: Sprekels, Jürgen; Tiba, Dan
A duality approach in the optimization of beams and plates
Appeared in: SIAM J. Control Optimiz., 37 (1998), pp. 486-501 - 290: Colli, Pierluigi; Sprekels, Jürgen
Weak solution to some Penrose-Fife phase-field systems with temperature-dependent memory
Appeared in: J. Differ. Equations 142, no. 1, (1998), pp. 54-77 - 282: Colli, Pierluigi; Grasselli, Maurizio; Sprekels, Jürgen
Automatic control via thermostats of a hyperbolic Stefan problem with memory
Appeared in: Appl. Math. Optimiz., 39 (1999), pp. 229 - 255 - 276: Bubner, Nikolaus; Sokolowski, Jan; Sprekels, Jürgen
Optimal boundary control problems for shape memory alloys under state constraints for stress and temperature
Appeared in: Numer. Funct. Anal. Optim., 19 (1998), no. 5 & 6, pp. 489-498 - 259: Bubner, Nikolaus; Sprekels, Jürgen
Optimal Control of Martensitic Phase Transitions in a Deformation-Driven Experiment on Shape Memory Alloys
Appeared in: Adv. Math. Sci. Appl. 8, (1998), pp. 299-325 - 237: Krejčí, Pavel; Sprekels, Jürgen
Global solutions to a coupled parabolic-hyperbolic system with hysteresis in 1-d magnetoelasticity
Appeared in: Nonlin. Anal., 33 (1998), pp. 341-358 - 222: Sprekels, Jürgen; Tiba, Dan
A duality-type method for the design of beams
Appeared in: Adv. Math. Sci. Appl. 9 (1999) no. 1 pp. 89-102 - 219: Krejčí, Pavel; Sprekels, Jürgen
On a System of Nonlinear PDE's with Temperature-Dependent Hysteresis in One-Dimensional Thermoplasticity
Appeared in: J. Math. Anal. Appl. 209 (1997) pp. 25-46 - 214: Sprekels, Jürgen; Zheng, Songmu; Zhu, Peicheng
Asymptotic Behavior of the Solutions to a Landau-Ginzburg System with Viscosity for Martensitic Phase Transitions in Shape Memory Alloys
Appeared in: SIAM J. Math. Anal. 29 (1998) pp. 69 - 84 - 169: Colli, Pierluigi; Sprekels, Jürgen
Remarks on the existence for the one-dimensional Frémond model of shape memory alloys
Appeared in: Z. Angew. Math. Mech. 76 (1996) Suppl. 2 pp. 413-416 - 139: Horn, Werner; Sokolowski, Jan; Sprekels, Jürgen
Control problems with state constraints for the Penrose-Fife phase-field model
Appeared in: Control & Cybernetics 25 (1996) pp. 1137-1153 - 127: Colli, Pierluigi; Sprekels, Jürgen
Stefan problems and the Penrose-Fife phase field model
Appeared in: Adv. Math. Sci. Appl. 7, (1997), pp. 911-934 - 104: Colli, Pierluigi; Sprekels, Jürgen
On a Penrose-Fife Model with Zero Interfacial Energy Leading to a Phase-field System of Relaxed Stefan Type
Appeared in: Ann. Math. Pura Appl. 169 (1995) pp. 269-285 - 91: Horn, Werner; Laurençot, Philippe; Sprekels, Jürgen
Global solutions to a Penrose-Fife phase-field model under flux boundary conditions for the inverse temperature
Appeared in: Math. Meth. Appl. Sci. 19 (1996) pp. 1053-1072