Analysis and optimal control of some solidification processes

DOI10.3934/dcds.2014.34.3985zbMath1301.93081OpenAlexW2324142304MaRDI QIDQ476466

Gema Camacho, Enrique Fernández-Cara, Roberto Carlos Cabrales

Publication date: 2 December 2014

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.3985

zbMATH Keywords

optimal controlregularizationweak solutionsnonlinear PDEssolidification models

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations for incompressible viscous fluids (76D05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence theories for optimal control problems involving partial differential equations (49J20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with control and optimization (35Q93)

Related Items (1)

Existence of Global-in-Time Weak Solutions for a Solidification Model with Convection in the Liquid and Rigid Motion in the Solid

Cites Work

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• A tridimensional phase-field model with convection for phase change of an alloy
• Existence for a stationary model of binary alloy solidification
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