Optimal control problems of phase relaxation models

DOI10.1023/A:1017563604922zbMath1008.49003OpenAlexW1567373991MaRDI QIDQ5945069

Viorel Barbu, Gianni Gilardi, Marco Luigi Bernardi, Pierluigi Colli

Publication date: 10 April 2003

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1017563604922

zbMATH Keywords

optimal controlnecessary optimality conditionsmemory effectsexistence of optimal controlrelaxed Stefan problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Stefan problems, phase changes, etc. (80A22) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (max. 100)

Relaxation and optimisation of a phase-field control system with hysteresis ⋮ A boundary control problem for a possibly singular phase field system with dynamic boundary conditions ⋮ On an optimal control problem describing lactate production inhibition ⋮ Optimal control for a phase field system with a possibly singular potential ⋮ Optimal Control for Shape Memory Alloys of the One-Dimensional Frémond Model ⋮ Optimal control for a conserved phase field system with a possibly singular potential ⋮ Nonlocal Phase Field Models of Viscous Cahn–Hilliard Type ⋮ Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential

Cites Work

• Compact sets in the space \(L^ p(0,T;B)\)
• Well-posedness of the weak formulation for the phase-field model with memory
• Phase transition problems in materials with memory
• Thermodynamic properties and stability for the heat flux equation with linear memory
• Stefan Problem with Phase Relaxation
• Thermoelasticity with Second Sound: A Review
• Nonsmooth kernels in a phase relaxation problem with memory
• Subdifferential operator approach to a class of nonlinear systems for Stefan problems with phase relaxation
• A Heat Balance Integral Method for Estimating Practical Solidification Parameters
• Heat waves
• Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Optimal control problems of phase relaxation models