Optimal control problems for 1D parabolic state-systems of KWC types with dynamic boundary conditions

zbMath1475.35373arXiv2010.00777MaRDI QIDQ5004883

Ken Shirakawa, Shodai Kubota, Ryota Nakayashiki

Publication date: 3 August 2021

Full work available at URL: https://arxiv.org/abs/2010.00777

zbMATH Keywords

optimal control problemdynamic boundary conditiongrain boundary motion1D parabolic state-system of KWC type

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Dynamics of phase boundaries in solids (74N20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Crystals in solids (74N05) PDEs in connection with mechanics of deformable solids (35Q74) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59) PDEs in connection with control and optimization (35Q93)

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