Well-posedness and optimal control of a hemivariational inequality for nonstationary Stokes fluid flow

DOI10.3934/dcds.2016036zbMath1354.35099OpenAlexW2489990080MaRDI QIDQ321530

Changjie Fang, Weimin Han

Publication date: 14 October 2016

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

Full work available at URL: https://doi.org/10.3934/dcds.2016036

zbMATH Keywords

optimal controlwell-posednesshemivariational inequalityStokes equations

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) PDEs in connection with fluid mechanics (35Q35) Variational methods applied to PDEs (35A15) Stokes and related (Oseen, etc.) flows (76D07) Theoretical approximation in context of PDEs (35A35) 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)

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Stability analysis and optimal control of a stationary Stokes hemivariational inequality ⋮ Well-posedness analysis of a stationary Navier-Stokes hemivariational inequality ⋮ Steady flow of generalized Newtonian fluid with multivalued rheology and nonmonotone friction law ⋮ On steady flow of non-Newtonian fluids with frictional boundary conditions in reflexive Orlicz spaces ⋮ Shape optimization for the Stokes hemivariational inequality with slip boundary condition ⋮ Frictional Contact Problems for Steady Flow of Incompressible Fluids in Orlicz Spaces ⋮ Weak solutions to the generalized Navier-Stokes equations with mixed boundary conditions and implicit obstacle constraints ⋮ On variational-hemivariational inequalities in Banach spaces ⋮ Optimal distributed and tangential boundary control for the unsteady stochastic Stokes equations ⋮ Evolutionary subgradient inclusions with nonlinear weakly continuous operators and applications ⋮ Optimal control for elliptic hemivariational inequalities involving nonlinear weakly continuous operators ⋮ Continuous dependence and optimal control of a dynamic elastic-viscoplastic contact problem with non-monotone boundary conditions ⋮ Optimal control of hemivariational inequalities for nonstationary Navier–Stokes equations

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