Optimal control of a two-phase flow model with state constraints

DOI10.3934/mcrf.2016006zbMath1351.35242OpenAlexW2341052319MaRDI QIDQ325364

Theodore Tachim-Medjo

Publication date: 18 October 2016

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2016006

zbMATH Keywords

maximum principleNavier-StokesAllen-Cahnstate-constrainedtwo-phase flow model

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Maximum principles in context of PDEs (35B50) Navier-Stokes equations (35Q30) 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 (2)

First-order necessary conditions of optimality for the optimal control of two-dimensional convective Brinkman–Forchheimer equations with state constraints ⋮ A note on the regularity of weak solutions to the coupled 2D Allen-Cahn-Navier-Stokes system

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