Optimal control for non-isothermal binary viscoelastic and incompressible flows with stress diffusion

DOI10.3934/cpaa.2024068MaRDI QIDQ6635631

Gilbert R. Peralta

Publication date: 12 November 2024

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

optimal controlregularityCahn-Hilliard equationNavier-Stokes equationviscoelasticitynon-Newtonian flowsweak and very weak solutionsviscous Johnson-Segalman-type models

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) Viscoelastic fluids (76A10) Existence theories for optimal control problems involving partial differential equations (49J20) Weak solutions to PDEs (35D30) Flow control and optimization for incompressible viscous fluids (76D55) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Strong solutions to PDEs (35D35) PDEs in connection with control and optimization (35Q93)

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