- Optimality conditions for sparse optimal control of viscous Cahn-Hilliard
systems with logarithmic potential.
Appl. Math. Optim. 90, 47/1 - 47/48 (2024), https://doi.org/10.1007/s00245-024-10187-6
(with P. Colli, F. Tröltzsch)
- Curvature effects in pattern formation: Well-posedness and optimal
control of a sixth-order Cahn-Hilliard equation.
SIAM J. Math. Anal. (SIMA) 56, 4928 - 4969 (2024), https://doi.org/10.1137/24M1630372
(with P. Colli, G. Gilardi, A. Signori)
- Second-order sufficient conditions in the sparse optimal control of a
phase field tumor growth model with logarithmic potential.
ESAIM Control Optim. Calc. Var. 30, 13/1 - 13/25 (2024),
https://doi.org/10.1051/cocv/2023084
(with F. Tröltzsch)
- On a Cahn-Hilliard system with source term and thermal memory.
Nonlin. Anal. TMA 240, 113461/1 - 113461/16 (2024),
https://doi.org/10.1016/j.na.2023.113461
(with P. Colli, G. Gilardi, A. Signori)
- Optimal temperature distribution for a nonisothermal Cahn-Hilliard
system in two dimensions with source term and double obstacle potential.
Ann. Acad. Rom. Sci. Ser. Math. Appl. 15, 175 - 204 (2023)
(with P. Colli, G. Gilardi, A. Signori)
- Second-order sufficient conditions for sparse optimal control of
singular Allen-Cahn systems with dynamic boundary conditions.
Discrete Contin. Dyn. Syst. Ser. S 16, 3784 - 3812 (2023),
https://doi.org/10.3934/dcdss.2023163
(with F. Tröltzsch)
- Nutrient control for a viscous Cahn-Hilliard-Keller-Segel model with logistic source describing tumor growth.
Discrete Contin. Dyn. Syst. Ser. S 16, 3552 - 3572 (2023), https://doi.org/10.3934/dcdss.2023123
(with G. Gilardi, A. Signori)
- Optimal temperature distribution for a nonisothermal Cahn-Hilliard
system with source term.
Appl. Math. Optim. 88, 68/1 - 68/31 (2023),
https://doi.org/10.1007/s00245-023-10039-9
(with P. Colli, G. Gilardi, A. Signori)
- Cahn-Hilliard-Brinkman model for tumor growth with possibly singular potentials.
Nonlinearity 36, 4470 - 4500 (2023), https://doi.org/10.1088/1361-6544/ace2a7
(with P. Colli, G. Gilardi, A. Signori)
- Optimal control of a nonconserved phase field model
of Caginalp type with thermal memory and double obstacle potential.
Discrete Contin. Dyn. Syst. Ser. S 16, 2305 - 2325 (2023),
https://doi.org/10.3934/dcdss.2022210
(with P. Colli, G. Gilardi, A. Signori)
- Analysis and optimal control for a phase field model of
Caginalp type with
thermal memory.
Commun. Optim. Theory 2022, 4/1 - 4/31 (2022) https://doi.org/10.23952/cot.2022.4
(with P. Colli, A. Signori)
- Optimal control of a phase field system of Caginalp type with
fractional operators.
Pure Appl. Funct. Anal. 7:5, 1597 - 1635 (2022)
(with P. Colli, G. Gilardi)
- Well-posedness for a class of phase-field systems
modeling prostate cancer growth with fractional operators
and general nonlinearities.
Atti Accad. Naz. Rend. Lincei Mat. Appl. 33:1, 193 - 228 (2022)
https://doi.org/10.4171/rlm/969
(with P. Colli, G. Gilardi)
- Analysis of a tumor model as a multicomponent deformable porous medium.
Interfaces Free Bound. 24:2, 235 - 262 (2022),
https://doi.org/10.4171/IFB/472
(with P. Krejcí, E. Rocca)
- Well-posedness and optimal control for a Cahn-Hilliard-Oono
system with control in the mass term.
Discrete Contin. Dyn. Syst. Ser. S 15, 2135 - 2172 (2022),
https://doi.org/10.3934/dcdss.2022001
(with P. Colli, G. Gilardi, E. Rocca)
- An asymptotic analysis for a generalized Cahn-Hilliard system with fractional operators.
J. Evol. Equ. 21, 2749 - 2778 (2021),
https://doi.org/10.1007/s00028-021-00706-1
(with P. Colli, G. Gilardi)
- Optimal control problems with sparsity for tumor growth models involving variational inequalities.
J. Optim. Theory Appl. (JOTA) 194, 25 - 58 (2022),
https://doi.org/10.1007/s10957-022-02000-7
(with P. Colli, A. Signori)
- Second-order analysis of an optimal control problem in a phase field tumor growth model with chemotaxis and singular potentials.
ESAIM: Control Optim. Calc. Var. 27, 73/1 - 73/46 (2021),
Open Access: https://doi.org/10.1051/cocv/2021072
(with P. Colli, A. Signori)
- Optimal control of a phase field system modelling tumor growth with
chemotaxis and singular potentials.
Appl. Math. Optim. 83, 2017 - 2049 (2021), https://link.springer.com/content/pdf/10.1007/s00245-019-09618-6.pdf
and 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
(with P. Colli, A. Signori)
- Sparse optimal control of a phase field system
with singular potentials arising in the modeling of tumor growth.
ESAIM: COCV 27, S26/1 - S26/27 (2021), https://www.esaim-cocv.org/articles/cocv/pdf/2021/01/cocv200107.pdf
(with F. Tröltzsch)
- Optimal distributed control of a Cahn-Hilliard-Darcy
system with mass sources.
Appl. Math. Optim. 83, 489 - 530 (2021) https://doi.org/10.1007/s00245-019-09555-4
(with H. Wu)
- Deep quench approximation and optimal control of general
Cahn-Hilliard systems with fractional
operators and double obstacle potentials.
Discrete Contin. Dyn. Syst. Ser. S 14, 243 - 271 (2021),
https://doi.org/10.3934/dcdss.2020213
(with P. Colli, G. Gilardi)
- Longtime behavior for a generalized Cahn-Hilliard system with fractional operators.
Atti Acad. Pelorit. Pericol. Cl. Sci. Fis. Mat. Nat. 98, A4/1 - A4/18 (2020) https://doi.org/10.1478/AAPP.98S2A4
(with P. Colli, G. Gilardi)
- Asymptotic analysis of a tumor growth model with fractional operators.
Asymptotic Analysis 120, 41 - 72 (2020)
(with P. Colli, G. Gilardi)
- Optimal distributed control of a generalized
fractional Cahn-Hilliard system.
Appl. Math. Optim. 82, 551 - 589 (2020)
(with P. Colli, G. Gilardi)
- Optimal distributed control of
two-dimensional nonlocal Cahn-Hilliard-Navier-Stokes systems with degenerate mobility and singular potential.
Appl. Math. Optim. 81, 889 - 931 (2020)
(with S. Frigeri, M. Grasselli)
- Recent results on well-posedness and optimal control
for a class of generalized fractional Cahn-Hilliard systems.
Control and Cybernetics 48, 153 - 197 (2019)
(with P. Colli, G. Gilardi)
- Optimal control of semiconductor melts by traveling magnetic fields.
Vietnam J. Math. 47, 793 - 812 (2019),
https://doi.org/10.1007/s10013-019-00355-5
(with P. Nestler, N. Schlömer, O. Klein, F. Tröltzsch)
- A distributed control problem for a fractional tumor growth model.
Mathematics 7, 792 (2019), https://doi.org/10.3390/math7090792
(with P. Colli, G. Gilardi)
- Well-posedness and regularity for a fractional tumor growth model.
Adv. Math. Sci. Appl. 28, 343 - 375 (2019)
(with P. Colli, G. Gilardi)
- Well-posedness and regularity for a generalized fractional
Cahn-Hilliard system.
Rend. Lincei Mat. Appl. 30, 437 - 478 (2019)
(with P. Colli, G. Gilardi)
- Optimal velocity control of a convective Cahn-Hilliard system with double
obstacles and dynamic boundary conditions: A `deep quench' approach.
J. Convex Anal. 26, 485 - 514 (2019)
(with P. Colli, G. Gilardi)
- Strong solutions to nonlocal 2D Cahn-Hilliard-Navier-Stokes
systems with nonconstant
viscosity, degenerate mobility and singular potential.
Nonlinearity, 678 - 727 (2019),
http://iopscience.iop.org/article/10.1088/1361-6544/aaedd0/meta.
(with S.P. Frigeri, C.G. Gal, M. Grasselli)
- Asymptotic limits and optimal control for the
Cahn-Hilliard system with convection
and dynamic boundary conditions.
Nonlin. Anal. 178, 1 - 21 (2019)
(with G. Gilardi)
- On the longtime behavior of a viscous Cahn-Hilliard system with convection
and dynamic boundary conditions.
J. Elliptic Parabol. Equ. 4, 327 - 347 (2018).
(with P. Colli, G. Gilardi)
- On a Cahn-Hilliard system with convection and dynamic boundary
conditions.
Annali di Matematica Pura ed Applicata (1923 -) 197, 1445 - 1475 (2018),
https://doi.org/10.1007/s10231-018-0732-1.
(with P. Colli, G. Gilardi)
- Optimal velocity control of a viscous Cahn-Hilliard system with
convection and dynamic boundary conditions.
SIAM J. Control Optim. 56, 1665 - 1691 (2018),
https://doi.org/10.1137/17M1146786.
(with P. Colli, G. Gilardi)
- Optimal boundary control of a nonstandard viscous
Cahn-Hilliard system with dynamic boundary condition.
Nonlin. Anal. 170, 171 - 196 (2018),
https://doi.org/10.1016/na.2018.01.003.
(with P. Colli, G. Gilardi)
- Unsaturated deformable porous media flow with thermal
phase transition.
Math. Models Methods Appl. Sci. 27, 2675 - 2710 (2017),
https://doi.org/10.1142/S0218202517500555.
(with P. Krejcí, E. Rocca)
- Optimal distributed control of a diffuse interface model of tumor
growth.
Nonlinearity 30, 2518 - 2546 (2017)
(with P. Colli, G. Gilardi, E. Rocca)
- Global existence for a nonstandard viscous Cahn-Hilliard system
with dynamic boundary condition.
SIAM J. Math. Anal. 49, 1732 - 1760 (2017),
https://doi.org/10.1137/16M1087539.
(with P. Colli, G. Gilardi)
- Recent results on the Cahn-Hilliard equation
with dynamic boundary condition.
Bull. South Ural State Univ. Ser. Math. Model. Program. Comput. Softw. 10,
5 - 21 (2017)
(with P. Colli, G. Gilardi)
- A new type of identification problems: optimizing the fractional order
in a nonlocal evolution equation.
SIAM J. Control. Optim. 55 70 - 93 (2017)
(mit E. Valdinoci)
- Asymptotic analyses and error estimates for a Cahn-Hilliard type phase
field system modelling tumor growth.
Discrete Contin. Dyn. Syst. Ser. S. 10, 37 - 54 (2017)
(with P. Colli, G. Gilardi, E. Rocca)
- Distributed optimal control of a nonstandard nonlocal phase
field system with double obstacle potential.
Evol. Equ. Control Theory 6, 35 - 58 (2017)
(with P. Colli, G. Gilardi)
- Distributed optimal control of a
nonstandard nonlocal phase field system.
AIMS Math. 1, 246 - 281 (2016)
(with P. Colli, G. Gilardi)
- Constraint evolution for a quasilinear parabolic equation.
J. Optim. Theory Appl. 170, 713 - 734 (2016)
(with P. Colli, G. Gilardi)
- On an application of Tikhonov's fixed point theorem to a nonlocal
Cahn-Hilliard type system modeling phase separation.
J. Differential Equations 260, 7940 - 7964 (2016)
(with P. Colli, G. Gilardi)
- A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions.
Appl. Math. Optim. 72, 195 - 225 (2016)
(with P. Colli, G. Gilardi)
- Optimal distributed control of a nonlocal Cahn-Hilliard/Navier-Stokes system
in two dimensions.
SIAM J. Control. Optim. 54, 221 - 250 (2016)
(with S. Frigeri, E. Rocca)
- A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions.
Adv. Nonlinear Anal. 4, 311 - 325 (2015).
(with P. Colli, G. Gilardi)
- Optimal boundary control of a viscous Cahn-Hilliard
system with dynamic boundary condition and double obstacle
potentials.
SIAM J. Control Optim. 53, 2696 - 2721 (2015)
(with P. Colli, G. Gilardi, M. H. Farshbaf-Shaker)
- Second-order analysis of a boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions.
Ann. Acad. Rom. Sci. Math. Appl. 7, 41 - 66 (2015)
(with P. Colli, M.H. Farshbaf-Shaker, G. Gilardi)
- Optimal distributed control of a nonlocal convective Cahn-Hilliard
equation by the velocity in three dimensions.
SIAM J. Control Optim. 53, 1654 - 1680 (2015)
(with E. Rocca)
- Vanishing viscosities and error estimate for a Cahn-Hilliard type phase field system related to tumor growth.
Nonlinear Anal. Real World Appl. 26, 93 - 108 (2015)
(with P. Colli, G. Gilardi, E. Rocca)
- A deep quench approach to the optimal control of an
Allen-Cahn
equation with dynamic boundary conditions and double obstacles.
Appl. Math. Optim. 71, 1 - 24 (2015)
(with P. Colli, M.H. Farshbaf Shaker)
- Optimal control of an Allen-Cahn equation with singular potentials and dynamic boundary condition.
SIAM J. Control Optim. 53, 213 - 234 (2015)
(with P. Colli)
- Analysis of a time discretization scheme for a nonstandard viscous Cahn-Hilliard system.
ESAIM Math. Model. Numer. Anal. 48, 1061 - 1087 (2014)
(with P. Colli, G. Gilardi, P. Krejcí, P. Podio-Guidugli)
- On the Cahn-Hilliard equation with dynamic boundary
conditions and a
dominating boundary potential.
J. Math. Anal. Appl. 419, 972 - 994 (2014)
(with P. Colli, G. Gilardi)
- A vanishing diffusion limit in a nonstandard system of phase field equations.
Evol. Equ. Control Theory 3, 257 - 275 (2014)
(with P. Colli, G. Gilardi, P. Krejcí)
- A continuous dependence result for a nonstandard system of phase field equations.
Math. Methods Appl. Sci. 37, 1318 - 1324 (2014)
(with P. Colli, G. Gilardi, P. Krejcí)
- Regularity of the solution to a nonstandard system
of phase field equations.
Istituto Lombardo (Rend. Cl. Sci. Mat. Nat.) 147,
3 - 19 (2013)
(with P. Colli, G. Gilardi)
- Global existence and uniqueness for a singular/degenerate
Cahn-Hilliard system with viscosity.
J. Differential Equations 254, 4217 - 4244 (2013)
(with P. Colli, G. Gilardi, P. Podio-Guidugli)
- Crystallization of 640 kg mc-silicon ingots under traveling
magnetic field by using a heater-magnet module.
J. Crystal Growth 365, 54 - 58 (2013)
(with C. Kudla, A. T. Blumenau, F. Büllesfeld, N. Dropka, C.
Frank-Rotsch, F. Kiessling, O. Klein, P. Lange,
W. Miller, U. Rehse, U. Sahr, M. Schellhorn, G. Weidemann, M. Ziem, G. Bethin, R. Fornari,
M. Müller, V. Trautmann, P. Rudolph)
- An asymptotic analysis for a nonstandard Cahn-Hilliard
system with viscosity.
Discrete Contin. Dyn. Syst. Ser. S 6, 353 - 368 (2013)
(with P. Colli, G. Gilardi, P. Podio-Guidugli)
- Continuous dependence for a nonstandard
Cahn-Hilliard system with nonlinear atom mobility.
Rend. Sem. Mat. Univ. Politec. Torino 70, 27 - 52 (2012)
(with P. Colli, G. Gilardi, P. Podio-Guidugli)
- Mathematical modeling of
Czochralski type growth processes for
semiconductor bulk single crystals.
Milan J. Math. 80, 311 - 332 (2012)
(with D. Dreyer, P.-É. Druet, O. Klein)
- Global existence for a strongly coupled Cahn-Hilliard system
with viscosity.
Boll. Unione Mat. Ital. (9) 5, 495 - 513 (2012)
(with P. Colli, G. Gilardi, P. Podio-Guidugli)
- Distributed optimal control of a nonstandard system of phase
field equations.
Contin. Mech. Thermodyn. 24, 437 - 459 (2012)
(with P. Colli, G. Gilardi, P. Podio-Guidugli)
- Analysis and optimal boundary control of a nonstandard
system of phase field equations.
Milan J. Math. 80, 119 - 149 (2012)
(with P. Colli, G. Gilardi)
- Well-posedness and long-time behavior for a nonstandard
viscous Cahn-Hilliard system.
SIAM J. Appl. Math. 71, 1849 - 1870 (2011)
(with P. Colli, G. Gilardi, P. Podio-Guidugli)
- Extensions of the control variational method.
Control Cybernet. 40, 1099 - 1108 (2011)
(with D. Tiba)
- Optimal control of three-dimensional state-constrained induction heating
problems with nonlocal radiation effects.
SIAM J. Control Optim. 49, 1707 - 1736 (2011)
(with P.-É. Druet, O. Klein, F. Tröltzsch, I. Yousept)
- A nonlocal quasilinear multi-phase system with nonconstant
specific heat and heat conductivity.
J. Differential Equations 251, 1354 - 1387 (2011)
(with P. Colli, P. Krejcí, E. Rocca)
- Phase separation in a gravity field.
Discrete Contin. Dyn. Syst. Ser. S 4, 391 - 407 (2011)
(with P. Krejcí and E. Rocca)
- A temperature-dependent
phase segregation problem of the Allen-Cahn type.
Adv. Math. Sci. Appl. 20, 219 - 234 (2010)
(with P. Colli, G. Gilardi, P. Podio Guidugli)
- Existence and uniqueness of a global-in-time solution to a
phase segregation problem of the Allen-Cahn type.
Math. Models Methods Appl. Sci. 20, 519 - 541 (2010)
(with P. Colli, G. Gilardi, P. Podio Guidugli)
- A note on parabolic equation with nonlinear dynamical
boundary condition.
Nonlinear Anal. 72, 3028 - 3048 (2010)
(with H. Wu)
- A bottle in a freezer.
SIAM J. Math. Anal. 41, 1851 - 1873 (2009)
(with P. Krejcí and E. Rocca)
- Numerical simulations of the influence of a traveling magnetic field,
generated by an internal heater-magnet module, on liquid encapsulated
Czochralski crystal growth.
Magnetohydrodynamics 45, 557 - 567 (2009)
(with O. Klein, Ch. Lechner, P.-É. Druet, P. Philip,
Ch. Frank-Rotsch, F. M. Kießling, W. Miller, U. Rehse, P. Rudolph)
- The control variational approach for differential
systems.
SIAM J. Control Optim. 47, 3220 - 3236 (2009)
(with D. Tiba)
- Numerical simulation of Czochralski crystal growth under the
influence of a traveling magnetic field generated by an internal
heater-magnet module (HMM).
J. Crystal Growth 310, 1523 - 1532 (2008)
(with O. Klein, C. Lechner, P.-E. Druet, P. Philip, C. Frank-Rotsch,
F. M. Kiessling, W. Miller, U. Rehse, P. Rudolph)
- Clamped elastic-ideally plastic beams and Prandtl-Ishlinskii
hysteresis operators.
Discrete Contin. Dyn. Syst. Ser. S 1, 283 - 292 (2008)
(with P. Krejcí)
- Small strain oscillations of an elastoplastic Kirchhoff
plate.
ZAMM Z. Angew. Math. Mech. 88, 199 - 217 (2008)
(with R. B. Guenther and P. Krejcí)
- Nonlocal temperature-dependent phase-field models
for non-isothermal phase transitions.
J. London Math. Soc. (2) 76, 197 - 210 (2007)
(with P. Krejcí and E. Rocca)
- Nonlinear evolution inclusions arising from phase
change models.
Czechoslovak Math. J. 57, 1067 - 1098 (2007)
(with P. Colli, P. Krejcí and E. Rocca)
- Elastic-ideally plastic beams and Prandtl-Ishlinskii
hysteresis operators.
Math. Methods Appl. Sci. 30, 2371 - 2393 (2007)
(with P. Krejcí)
- Optimal boundary control of a phase field system modeling
nonisothermal phase transitions.
Adv. Math. Sci. Appl. 17, 181 - 194 (2007)
(with C. Lefter)
- A nonlocal phase-field model with nonconstant
specific heat.
Interfaces Free Bound. 9, 285 - 306 (2007)
(with P. Krejcí and E. Rocca)
- Long-time behaviour of a singular phase transition
model.
Discrete Contin. Dyn. Syst. 15, 1119 - 1135 (2006)
(with P. Krejcí)
- Optimization problems for curved mechanical structures.
SIAM J. Control Optimiz. 44, 743 - 775 (2005)
(with V. Arnautu and D. Tiba)
- A reduction approximation method for curved rods.
Numer. Funct. Anal. Optimiz. 26, 139 - 155 (2005)
(with V. Arnautu and D. Tiba)
- Nonlocal phase-field models for non-isothermal
phase transitions and hysteresis.
Adv. Math. Sci. Appl. 14, 593 - 612 (2004)
(with P. Krejcí)
- Modeling and simulation of sublimation growth of SiC bulk
single crystals.
Interfaces Free Bound. 6, 295 - 314 (2004)
(with O. Klein and P. Philip)
- One-dimensional thermo-visco-plastic processes with hysteresis and
phase transitions.
Adv. Math. Sci. Appl. 13, 695 - 712 (2004)
(with P. Krejcí and U. Stefanelli)
- Global existence and asymptotic behaviour for a nonlocal
phase-field model for non-isothermal phase transitions.
J. Math. Anal. Appl. 279, 97 - 110 (2003)
(with S. Zheng)
- Optimization of clamped plates with discontinuous thickness.
Systems & Control Letters 48, 289 - 295 (2003)
(with D. Tiba)
- Phase-field models with hysteresis in one-dimensional
thermoviscoplasticity.
SIAM J. Math. Anal. 34, 409 - 434 (2002)
(with P. Krejcí and U. Stefanelli)
- Phase-field systems with vectorial order parameters
including hysteresis and diffusion effects.
Comm. Pure Appl. Anal. 1, 495 - 511 (2002)
(with N. Kenmochi)
- Parabolic regularization of differential inclusions and the stop operator.
Interfaces and Free Boundaries 4, 423 - 435 (2002)
(with P. Krejcí)
- A model of a general elastic curved rod.
Math. Meth. Appl. Sci. 25, 835 - 854 (2002)
(with A. Ignat and D. Tiba)
- On a model for phase separation in binary alloys driven
by mechanical effects.
Physica D 165, 48 - 65 (2002)
(with E. Bonetti, P. Colli, W. Dreyer, G. Gilardi and G. Schimperna)
- An analytic approach to a generalized Naghdi shell model.
Adv. Math. Sci. Appl. 12, 175 - 190 (2002)
(with D. Tiba)
- Phase-field systems for multidimensional Prandtl-Ishlinskii
operators with non-polyhedral characteristics.
Math. Meth. Appl. Sci. 25, 309 - 325 (2002)
(with P. Krejcí)
- On a class of multi-dimensional Prandtl-Ishlinskii operators.
Physica B 306, 185 - 190 (2001)
(with P. Krejcí)
- Analysis and optimization of nonsmooth arches.
SIAM J. Control Optimiz. 40, 1107 - 1135 (2001)
(with A. Ignat and D. Tiba)
- Asymptotic behaviour for a phase-field system with
hysteresis.
J. Differ. Equations 175, 88 - 107 (2001)
(with P. Krejcí and S. Zheng)
- Radiation and convection driven transient heat transfer during
sublimation growth of silicon carbide single crystals.
J. Crystal Growth 222, 832 - 851 (2001)
(with O. Klein, P. Philip and K. Wilmanski)
- Phase field models with hysteresis.
J. Math. Anal. Appl. 252, 198 - 219 (2000)
(with P. Krejcí)
- On the approximation and the optimization of plates.
Numer. Funct. Anal. and Optimiz. 21, 337 - 354 (2000)
(with V. Arnautu, H. Langmach and D. Tiba)
- Hysteresis in phase field models with
thermal memory.
Math. Meth. Appl. Sci. 23, 909 - 922 (2000)
(with G. Gilardi and P. Krejcí)
- Sur les arches lipschitziennes.
C. R. Acad. Sci. Paris, t. 331, Série I, 179 - 184 (2000)
(with D. Tiba)
- A hysteresis approach to phase-field models.
Nonlinear Analysis TMA 39, 569 - 586 (2000)
(with P. Krejcí)
- A transient model for the sublimation growth of silicon carbide
single crystals.
J. Crystal Growth 205, 294 - 304 (1999)
(with N. Bubner, O. Klein, P. Philip and K. Wilmanski)
- Nonlinear equations in non-reflexive Banach spaces and strongly
nonlinear differential equations.
Adv. Math. Sci. Appl. 9, 939 - 972 (1999)
(with K. Soltanov)
- Global solution to the Penrose-Fife phase-field model with zero
interfacial energy and Fourier law.
Adv. Math. Sci. Appl. 9, 383 - 391 (1999)
(with P. Colli)
- Automatic control via thermostats of a hyperbolic Stefan problem
with memory.
Appl. Math. Optimiz. 39, 229 - 255 (1999)
(with P. Colli and M. Grasselli)
- A duality-type method for the design of beams.
Adv. Math. Sci. Appl. 9, 89 - 102 (1999)
(with D. Tiba)
- A duality approach in the optimization of beams and plates.
SIAM J. Control Optimiz. 37, 486 - 501 (1998/99)
(with D. Tiba)
- Optimal boundary control problems for shape memory alloys
under state constraints for stress and temperature.
Numer. Funct. Anal. Optimiz. 19, 489 - 498 (1998)
(with N. Bubner and J. Sokoowski)
- Propriétés de bang-bang généralisées dans l'optimisation
des plaques.
C. R. Acad. Sci. Paris, t. 327, Série I, 705 - 710 (1998)
(with D. Tiba)
- Maximal attractor for the system of a Landau-Ginzburg theory for
structural phase transitions in shape memory alloys.
Physica D 121, 252 - 262 (1998)
(with S. Zheng)
- Hysteresis operators in phase-field models of
Penrose-Fife type.
Appl. Math. 43, 207 - 222 (1998)
(with P. Krejcí)
- Temperature-dependent hysteresis in one-dimensional
thermovisco-elastoplasticity.
Appl. Math. 43, 173 - 206 (1998)
(with P. Krejcí)
- Global solutions to a coupled parabolic-hyperbolic system with
hysteresis in 1D-magnetoelasticity.
Nonlinear Analysis TMA 33, 341 - 358 (1998)
(with P. Krejcí)
- Asymptotic behavior of the solutions to a Landau-Ginzburg system
with viscosity for martensitic phase transitions in shape memory alloys.
SIAM J. Math. Anal. 29, 69 - 84 (1998)
(with S. Zheng and P. Zhu)
- Optimal control of martensitic phase transitions in a
deformation-driven experiment on shape memory alloys.
Adv. Math. Sci. Appl. 8, 299 - 325 (1998)
(with N. Bubner)
- Weak solution to some Penrose-Fife phase-field systems with
temperature-dependent memory.
J. Differ. Equations 142, 54 - 77 (1998)
(with P. Colli)
- Stefan problems and the Penrose-Fife phase field model.
Adv. Math. Sci. Appl. 7, 911 - 934 (1997)
(with P. Colli)
- On a system of nonlinear PDEs with temperature-dependent
hysteresis in one-dimensional thermoplasticity.
J. Math. Anal. Appl. 209, 25 - 46 (1997)
(with P. Krejcí)
- A control problem with state constraints for the Penrose-Fife
phase-field model.
Control & Cybernetics 25, 1137 - 1153 (1996)
(with W. Horn and J. Sokoowski)
- Remarks on the existence for the one-dimensional Frémond model
of shape memory alloys.
Z. Angew. Math. Mech. 76, Suppl. 2, 413 - 416 (1996)
(with P. Colli)
- Global solutions to a Penrose-Fife phase-field model under flux
boundary conditions for the inverse temperature.
Math. Meth. Appl. Sci. 19, 1053 - 1072 (1996)
(with W. Horn and Ph. Laurençot)
- Global existence of smooth solutions to the Penrose-Fife model
for Ising ferromagnets.
Adv. Math. Sci. Appl. 6, 227 - 241 (1996)
(with W. Horn and Zheng Songmu)
- On a Penrose-Fife model with zero interfacial energy leading to a
phase-field system of relaxed Stefan type.
Ann. Mat. Pura Appl. 169, 269 - 285 (1995)
(with P. Colli)
- Global solution to the full one-dimensional Frémond
model for shape memory alloys.
Math. Meth. Appl. Sci. 18, 371 - 385 (1995)
(with P. Colli)
- Control problems with state constraints for shape memory alloys.
Math. Meth. Appl. Sci. 17, 943 - 952 (1994)
(with J. Sokoowski)
- Positivity of temperature in the general Frémond model for
shape memory alloys.
Cont. Mech. Thermodyn. 5, 255 - 264 (1993)
(with P. Colli)
- Global smooth solutions for a thermodynamically
consistent model of phase-field type in higher space dimensions.
J. Math. Anal. Appl. 176, 200 - 223 (1993)
(with Zheng Songmu)
- Optimal control problems for a thermodynamically
consistent model of phase-field type for phase transitions.
Adv. Math. Sci. Appl. 1, 113 - 125 (1992)
(with Zheng Songmu)
- Global existence for a three-dimensional model of
the thermo-mechanical evolution of shape memory alloys.
Nonlinear Analysis TMA 18, 873 - 888 (1992)
(with P. Colli)
- Global existence of thermomechanical processes in
nonlinear thin rods under velocity feedbacks.
Math. Meth. Appl. Sci. 15, 265 - 274 (1992)
- Optimal control of thermomechanical phase transitions in
shape memory alloys: necessary conditions of optimality.
Math. Meth. Appl. Sci. 14, 265 - 280 (1991)
(with M. Brokate)
- Convergent numerical approximations of the thermomechanical
phase transitions in shape memory alloys.
Numer. Math. 58, 759 - 778 (1991)
(with M. Niezgódka)
- Global solutions in one-dimensional
magneto-thermoviscoelasticity.
European J. Appl. Math. 2, 83 - 96 (1991)
- Dynamical shape control and the stabilization of
non-linear thin rods.
Math. Meth. Appl. Sci. 14, 63 - 78 (1991)
(with J. Sokoowski)
- Shape memory alloys: mathematical models for a class of
first order solid-solid phase transitions in metals.
Control & Cybernetics 19, 287 - 308 (1990)
- Krasnoselskii's theorem on operators compressing a cone:
application to some singular boundary value problems.
J. Math. Anal. Appl. 153, 443 - 459 (1990)
(with S. M. Gomes)
- Steady states of austenitic-martensitic domains
in the Ginzburg-Landau theory of shape memory alloys.
Cont. Mech. Thermodyn. 2, 199 - 213 (1990)
(with A. Friedman)
- Feedback control via thermostats of multidimensional
two-phase Stefan problems.
Nonlinear Analysis TMA 15, 955 - 976 (1990)
(with K.-H. Hoffmann, M. Niezgódka)
- Global solutions to the equations of a Ginzburg-Landau theory
for structural phase transitions in shape memory alloys.
Physica D 39, 59 - 76 (1989)
(with Zheng Songmu)
- Stability and optimal control of thermomechanical processes
with non-convex free energies of Ginzburg-Landau type.
Math. Meth. Appl. Sci. 11, 687 - 696 (1989)
- Existence and optimal control of mechanical processes with
hysteresis in viscous solids.
IMA J. Appl. Math. 43, 219 - 229 (1989)
(with M. Brokate)
- Global existence for thermomechanical processes with
nonconvex free energies of Ginzburg-Landau form.
J. Math. Anal. Appl. 141, 333 - 348 (1989)
- A stability result for distributed parameter identification
in bilinear systems.
Math. Meth. Appl. Sci. 10, 447 - 456 (1988)
(with G. C. Hsiao)
- Identification of hysteresis loops.
J. Comp. Physics 78, 215 - 230 (1988)
(with K.-H. Hoffmann, A. Visintin)
- Existence of solutions for a mathematical model
of structural phase transitions in shape memory alloys.
Math. Meth. Appl. Sci. 10, 197 - 223 (1988)
(with M. Niezgódka)
- Global solutions to a model of structural phase transitions
in shape memory alloys.
J. Math. Anal. Appl. 130, 39 - 54 (1988)
(with M. Niezgódka, Zheng Songmu)
- Phase transitions in shape memory alloys I:
stability and optimal control.
Numer. Funct. Anal. and Optimiz. 9, 743 - 760 (1987)
(with K.-H. Hoffmann)
- On the identification of parameters in general
variational inequalities by asymptotic regularization.
SIAM J. Math. Anal. 17, 1198 - 1217 (1986)
(with K.-H. Hoffmann)
- On the identification of heat conductivity and latent
heat in a one-phase Stefan problem.
Control & Cybernetics 14, 37 - 51 (1985)
(with K.-H. Hoffmann)
- Automatische Steuerung freier Ränder bei
Stefan Problemen durch Thermostatkontrollen am festen Rand.
Zeitschrift für Analysis und ihre Anwendungen 4, 225 - 233 (1985)
(with K.-H. Hoffmann, H.-J. Kornstaedt)
- On the identification of coefficients of
elliptic problems by asymptotic regularization.
Numer. Funct. Anal. and Optimiz. 7, 157 - 177 (1984/85)
(with K.-H. Hoffmann)
- A note on the thermostat control of heating processes
in materials with thermal memory.
Matemática Aplicada e Computational 3, 257 - 264 (1984)
(with K.-H. Hoffmann)
- Exact bounds for the radially symmetric shape of a
confined plasma in the unit circle.
Math. Meth. Appl. Sci. 6, 496 - 511 (1984)
(with K.-H. Hoffmann)
- Real-time control of the free boundary in a
two-phase Stefan problem.
Numer. Funct. Anal. and Optimiz. 5, 47 - 76 (1982)
(with K.-H. Hoffmann)
- The regulation of temperature by thermostats and
set-valued integral equations.
J. Integral Equations 4, 95 - 112 (1982)
(with K. Glashoff)
- An application of Glicksberg's theorem to set-valued
integral equations arising in the theory of thermostats.
SIAM J. Math. Anal. 12, 477 - 486 (1981)
(with K. Glashoff)
- On the uniqueness of conduction in relaxation-case
semiconductors.
J. Appl. Math. Phys. (ZAMP) 32, 344 - 346 (1981)
(with H. Kreth)
- The index-k-stabilising differential equation.
Operations Research Spectrum 2, 223 - 225 (1981)
(with H. Th. Jongen)
- Exact bounds for the solution branches of nonlinear
eigenvalue problems.
Numer. Math. 34, 29 - 40 (1980)
- Bounds and domains of existence for hyperbolic initial value
problems.
Computing 23, 73 - 83 (1979)
(with H. Voß)
- Pointwise inclusions of fixed points by finite dimensional
iteration schemes.
Numer. Math. 32, 381 - 392 (1979)
(with H. Voß)
- Finite dimensional cone iteration techniques for superlinear
Hammerstein equations.
Numer. Funct. Anal. and Optimiz. 1, 289 - 314 (1979)
- Ein Verfahren zur iterativen Einschließung des
positiven Eigenvektors einer irreduziblen, nichtnegativen Matrix.
Computing 20, 27 - 34 (1978)
(with H. Voß)
- Einige Existenz- und Einschließungssätze für
Fixpunkte expandierender Integraloperatoren.
Aequ. Math. 16, 283 - 295 (1977)
- Existenz und erste Einschließung positiver Lösungen
bei superlinearen Randwertaufgaben zweiter Ordnung.
Numer. Math. 26, 421 - 428 (1976)
- Vergleich von Diskretisierungsverfahren und parametrischen
Methoden an einfachen Testbeispielen.
Z. Ang. Math. Mech. 56, 1 - 11 (1976)
(with L. Collatz, H. Günther)