Optimal Control for Shape Memory Alloys of the One-Dimensional Frémond Model
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Publication:5118176
DOI10.1080/01630563.2020.1774892zbMath1447.49005OpenAlexW3035160663MaRDI QIDQ5118176
Noriaki Yamazaki, Pierluigi Colli, Ken Shirakawa, M. Hassan Farshbaf-Shaker
Publication date: 7 September 2020
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2020.1774892
Nonlinear parabolic equations (35K55) Free boundary problems for PDEs (35R35) Existence theories for optimal control problems involving partial differential equations (49J20)
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- A boundary control problem for the viscous Cahn-Hilliard equation with dynamic boundary conditions
- Attractors of nonlinear evolution systems generated by time-dependent subdifferentials in Hilbert spaces
- Optimal control for an adsorbate-induced phase transition model
- A relaxation approach to vector-valued Allen-Cahn MPEC problems
- A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions
- Nonmonotone perturbations for nonlinear parabolic equations associated with subdifferential operators, Cauchy problems
- Mathematical study of an evolution problem describing the thermo- mechanical process in shape memory alloys
- A boundary control problem for the equation and dynamic boundary condition of Cahn-Hilliard type
- Optimal control problem for phase-field equations with nonlinear dynamic boundary conditions.
- Optimal control problems of phase field system with total variation functional as the interfacial energy
- A deep quench approach to the optimal control of an Allen-Cahn equation with dynamic boundary conditions and double obstacles
- Convergence of convex sets and of solutions of variational inequalities
- Attractors for a three-dimensional thermo-mechanical model of shape memory alloys
- Optimal Control of Elastic Vector-Valued Allen--Cahn Variational Inequalities
- Distributed Optimal Control of the Cahn–Hilliard System Including the Case of a Double-Obstacle Homogeneous Free Energy Density
- Optimal Boundary Control of a Viscous Cahn--Hilliard System with Dynamic Boundary Condition and Double Obstacle Potentials
- Optimal control of a phase field model for solidification
- Optimization of Elliptic Systems
- Evolution systems of nonlinear variational inequalities arising from phase change problems
- Global solvability of a dissipative Frémond model for shape memory alloys. I. Mathematical formulation and uniqueness
- Global solvability of a dissipative Frémond model for shape memory alloys. II. Existence
- Global existence for the three-dimensional Frémond model of shape memory alloys
- A Penalty Approach to Optimal Control of Allen-Cahn Variational Inequalities: MPEC-View
- Optimal Control Problems for Elliptic–Parabolic Variational Inequalities with Time-Dependent Constraints
- Second-order analysis of a boundary control problem for the viscous Cahn--Hilliard equation with dynamic boundary condition
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
- Long-time behavior for the full one-dimensional Frémond model for shape memory alloys
- Optimal control problems of phase relaxation models
- Global solution to a Frémond model for shape memory alloys with thermal memory
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