Some optimal control problems for a two-phase field model of solidification
DOI10.1007/s13163-009-0012-0zbMath1182.49020OpenAlexW2135819969MaRDI QIDQ2269960
Enrique Fernández-Cara, Bianca Morelli Calsavara Caretta, José Luiz Boldrini
Publication date: 12 March 2010
Published in: Revista Matemática Complutense (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13163-009-0012-0
Optimality conditions for problems involving partial differential equations (49K20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Phase transformations in solids (74N99) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items (max. 100)
Cites Work
- Unnamed Item
- Unnamed Item
- Analysis of a two-phase field model for the solidification of an alloy
- An analysis of a phase field model of a free boundary
- Some properties of cones in normed spaces and their application to investigating extremal problems
- A phase field concept for multiphase systems
- Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
- Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints
- Phase Field Computations of Single-Needle Crystals, Crystal Growth, and Motion by Mean Curvature
- Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
- Some questions in the optimal control of distributed systems
- An Extension of Pontryagin’s Principle for State-Constrained Optimal Control of Semilinear Elliptic Equations and Variational Inequalities
- A generalized field method for multiphase transformations using interface fields
This page was built for publication: Some optimal control problems for a two-phase field model of solidification