Optimal boundary control of a nonstandard Cahn-Hilliard system with dynamic boundary condition and double obstacle inclusions

DOI10.1007/978-3-319-64489-9_7zbMath1382.49004arXiv1702.01907OpenAlexW2962708969MaRDI QIDQ1702310

Publication date: 28 February 2018

Full work available at URL: https://arxiv.org/abs/1702.01907

optimal control optimality conditions dynamic boundary conditions parabolic obstacle problems mpecs

Fréchet and Gateaux differentiability in optimization (49J50) Contact in solid mechanics (74M15) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with mechanics of deformable solids (35Q74) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (11)

Asymptotic limits and optimal control for the Cahn-Hilliard system with convection and dynamic boundary conditions ⋮ Optimal velocity control of a convective Cahn-Hilliard system with double obstacles and dynamic boundary conditions: a `deep quench' approach ⋮ Degenerate nonlocal Cahn-Hilliard equations: well-posedness, regularity and local asymptotics ⋮ Maximum principle for some optimal control problems governed by 2D nonlocal Cahn-Hillard-Navier-Stokes equations ⋮ Cahn–Hilliard equations on random walk spaces ⋮ Optimal distributed control of a generalized fractional Cahn-Hilliard system ⋮ Nonlocal-to-local convergence of Cahn-Hilliard equations: Neumann boundary conditions and viscosity terms ⋮ Pontryagin maximum principle and second order optimality conditions for optimal control problems governed by 2D nonlocal Cahn-Hilliard-Navier-Stokes equations ⋮ Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials ⋮ Optimality conditions for an extended tumor growth model with double obstacle potential via deep quench approach ⋮ Boundary control problem and optimality conditions for the Cahn–Hilliard equation with dynamic boundary conditions

This page was built for publication: Optimal boundary control of a nonstandard Cahn-Hilliard system with dynamic boundary condition and double obstacle inclusions