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DISTRIBUTED OPTIMAL CONTROL OF A NONSTANDARD NONLOCAL PHASE FIELD SYSTEM WITH DOUBLE OBSTACLE POTENTIAL.
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- Evolution Equations & Control Theory, 2017, v. 6, n. 1, p. 35, doi. 10.3934/eect.2017003
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- Article
A continuous dependence result for a nonstandard system of phase field equations.
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- Mathematical Methods in the Applied Sciences, 2014, v. 37, n. 9, p. 1318, doi. 10.1002/mma.2892
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- Article
Elastic-ideally plastic beams and Prandtl-Ishlinskii hysteresis operators.
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- Mathematical Methods in the Applied Sciences, 2007, v. 30, n. 18, p. 2371, doi. 10.1002/mma.892
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- Article
A model of a general elastic curved rod.
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- Mathematical Methods in the Applied Sciences, 2002, v. 25, n. 10, p. 835, doi. 10.1002/mma.315
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- Article
Phase-field systems for multi-dimensional Prandtl-Ishlinskii operators with non-polyhedral characteristics.
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- Mathematical Methods in the Applied Sciences, 2002, v. 25, n. 4, p. 309, doi. 10.1002/mma.288
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- Article
Hysteresis in phase-field models with thermal memory.
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- Mathematical Methods in the Applied Sciences, 2000, v. 23, n. 10, p. 909, doi. 10.1002/1099-1476(20000710)23:10<909::AID-MMA142>3.0.CO;2-E
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- Article
WELL-POSEDNESS AND REGULARITY FOR A FRACTIONAL TUMOR GROWTH MODEL.
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- Advances in Mathematical Sciences & Applications, 2019, v. 28, n. 2, p. 343
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- Article
Recent results on well-posedness and optimal control for a class of generalized fractional Cahn-Hilliard systems.
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- Control & Cybernetics, 2019, v. 48, n. 1, p. 153
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Extensions of the control variational method.
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- Control & Cybernetics, 2011, v. 40, n. 4, p. 1099
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- Article
Non-local temperature-dependent phase-field models for non-isothermal phase transitions.
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- Journal of the London Mathematical Society, 2007, v. 76, n. 1, p. 197
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- Article
Distributed optimal control of a nonstandard system of phase field equations.
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- Continuum Mechanics & Thermodynamics, 2012, v. 24, n. 4-6, p. 437, doi. 10.1007/s00161-011-0215-8
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- Article
A Distributed Control Problem for a Fractional Tumor Growth Model.
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- Mathematics (2227-7390), 2019, v. 7, n. 9, p. 792, doi. 10.3390/math7090792
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- Article
A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions.
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- Advances in Nonlinear Analysis, 2015, v. 4, n. 4, p. 311, doi. 10.1515/anona-2015-0035
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- Article
Unsaturated deformable porous media flow with thermal phase transition.
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- Mathematical Models & Methods in Applied Sciences, 2017, v. 27, n. 14, p. 2675, doi. 10.1142/S0218202517500555
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- Article
EXISTENCE AND UNIQUENESS OF A GLOBAL-IN-TIME SOLUTION TO A PHASE SEGREGATION PROBLEM OF THE ALLEN–CAHN TYPE.
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- Mathematical Models & Methods in Applied Sciences, 2010, v. 20, n. 4, p. 519, doi. 10.1142/S0218202510004325
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- Article
A Boundary Control Problem for the Viscous Cahn-Hilliard Equation with Dynamic Boundary Conditions.
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- Applied Mathematics & Optimization, 2016, v. 73, n. 2, p. 195, doi. 10.1007/s00245-015-9299-z
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- Article
A Deep Quench Approach to the Optimal Control of an Allen-Cahn Equation with Dynamic Boundary Conditions and Double Obstacles.
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- Applied Mathematics & Optimization, 2015, v. 71, n. 1, p. 1, doi. 10.1007/s00245-014-9250-8
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- Article
Pavel Krejčí turns sixty and receives the Bernard Bolzano Honorary Medal for Merit in Mathematical Sciences.
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- Applications of Mathematics, 2014, v. 59, n. 6, p. 611, doi. 10.1007/s10492-014-0075-1
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- Article
LONGTIME BEHAVIOR FOR A GENERALIZED CAHN-HILLIARD SYSTEM WITH FRACTIONAL OPERATORS.
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- AAPP Physical, Mathematical & Natural Sciences / Atti della Accademia Peloritana dei Pericolanti: Classe di Scienze Fisiche, Matematiche e Naturali, 2020, v. 98, p. 1, doi. 10.1478/AAPP.98S2A4
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- Article
Global Solutions to a Penrose-Fife Phase-field Model Under Flux Boundary Conditions for the Inverse Temperature.
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- Mathematical Methods in the Applied Sciences, 1996, v. 19, n. 13, p. 1053, doi. 10.1002/(SICI)1099-1476(19960910)19:13<1053::AID-MMA809>3.0.CO;2-S
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- Article
Global solution to the full one-dimensional Frémond model for shape memory alloys.
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- Mathematical Methods in the Applied Sciences, 1995, v. 18, n. 5, p. 371, doi. 10.1002/mma.1670180504
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- Article
Global existence of thermomechanical processes in non-linear thin rods under velocity feedbacks.
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- Mathematical Methods in the Applied Sciences, 1992, v. 15, n. 4, p. 265, doi. 10.1002/mma.1670150404
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- Article
Optimal control of thermomechanical phase transitions in shape memory alloys: Necessary conditions of optimality.
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- Mathematical Methods in the Applied Sciences, 1991, v. 14, n. 4, p. 265, doi. 10.1002/mma.1670140404
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Stability and optimal control of thermomechanical processes with non-convex free energies of Ginzburg-Landau type.
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- Mathematical Methods in the Applied Sciences, 1989, v. 11, n. 5, p. 687, doi. 10.1002/mma.1670110508
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- Article
Existence of solutions for a mathematical model of structural phase transitions in shape memory alloys.
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- Mathematical Methods in the Applied Sciences, 1988, v. 10, n. 3, p. 197, doi. 10.1002/mma.1670100302
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- Article
Analysis of a time discretization scheme for a nonstandard viscous Cahn–Hilliard system.
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- ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2014, v. 48, n. 4, p. 1061, doi. 10.1051/m2an/2014005
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- Article
Well-posedness for a class of phase-field systems modeling prostate cancer growth with fractional operators and general nonlinearities.
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- Rendiconti Lincei - Matematica e Applicazioni, 2022, v. 33, n. 1, p. 193, doi. 10.4171/RLM/969
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- Article
Global solutions in one-dimensional magneto-thermoviscoelasticity.
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- European Journal of Applied Mathematics, 1991, v. 2, n. 1, p. 83, doi. 10.1017/S0956792500000395
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- Article
Optimal Control Problems with Sparsity for Tumor Growth Models Involving Variational Inequalities.
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- Journal of Optimization Theory & Applications, 2022, v. 194, n. 1, p. 25, doi. 10.1007/s10957-022-02000-7
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- Article
Constrained Evolution for a Quasilinear Parabolic Equation.
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- Journal of Optimization Theory & Applications, 2016, v. 170, n. 3, p. 713, doi. 10.1007/s10957-016-0970-6
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- Article
Sparse optimal control of a phase field system with singular potentials arising in the modeling of tumor growth.
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- ESAIM: Control, Optimisation & Calculus of Variations, 2021, p. 1, doi. 10.1051/cocv/2020088
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- Article
Sparse optimal control of a phase field system with singular potentials arising in the modeling of tumor growth.
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- ESAIM: Control, Optimisation & Calculus of Variations, 2021, v. 27, p. 1, doi. 10.1051/cocv/2020088
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- Article
Analysis of a tumor model as a multicomponent deformable porous medium.
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- Interfaces & Free Boundaries, 2022, v. 24, n. 2, p. 235, doi. 10.4171/IFB/472
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- Article
A VANISHING DIFFUSION LIMIT IN A NONSTANDARD SYSTEM OF PHASE FIELD EQUATIONS.
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- Evolution Equations & Control Theory, 2014, v. 3, n. 2, p. 257, doi. 10.3934/eect.2014.3.257
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- Article
Optimal Temperature Distribution for a Nonisothermal Cahn–Hilliard System with Source Term.
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- Applied Mathematics & Optimization, 2023, v. 88, n. 2, p. 1, doi. 10.1007/s00245-023-10039-9
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- Article
Correction to: Optimal Control of a Phase Field System Modelling Tumor Growth with Chemotaxis and Singular Potentials.
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- 2021
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- Correction Notice
Optimal Control of a Phase Field System Modelling Tumor Growth with Chemotaxis and Singular Potentials.
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- Applied Mathematics & Optimization, 2021, v. 83, n. 3, p. 2017, doi. 10.1007/s00245-019-09618-6
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- Article
Optimal Distributed Control of a Cahn–Hilliard–Darcy System with Mass Sources.
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- Applied Mathematics & Optimization, 2021, v. 83, n. 1, p. 489, doi. 10.1007/s00245-019-09555-4
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- Article
Optimal Distributed Control of a Generalized Fractional Cahn–Hilliard System.
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- Applied Mathematics & Optimization, 2020, v. 82, n. 2, p. 551, doi. 10.1007/s00245-018-9540-7
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- Article
Optimal Distributed Control of Two-Dimensional Nonlocal Cahn–Hilliard–Navier–Stokes Systems with Degenerate Mobility and Singular Potential.
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- Applied Mathematics & Optimization, 2020, v. 81, n. 3, p. 899, doi. 10.1007/s00245-018-9524-7
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- Article