A class of hemivariational inequalities for nonstationary Navier-Stokes equations

DOI10.1016/j.nonrwa.2016.02.005zbMath1342.35215OpenAlexW2299625746MaRDI QIDQ282021

Mircea Sofonea, Changjie Fang, Weimin Han, Stanislaw Migórski

Publication date: 11 May 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2016.02.005

zbMATH Keywords

existenceNavier-Stokes equationsuniquenesshemivariational inequalityRothe methodcontinuous dependence

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (13)

Well-posedness analysis of a stationary Navier-Stokes hemivariational inequality ⋮ Hemivariational inequality for Navier-Stokes equations: existence, dependence, and optimal control ⋮ Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality ⋮ Time periodic solutions to the evolutionary Oseen model for a generalized Newtonian incompressible fluid ⋮ Well-Posedness of Steady-State Bingham Type System by a Quasi Variational-Hemivariational Approach ⋮ Frictional Contact Problems for Steady Flow of Incompressible Fluids in Orlicz Spaces ⋮ On variational-hemivariational inequalities in Banach spaces ⋮ Analysis of a System of Hemivariational Inequalities Arising in Non-Stationary Stokes Equation with Thermal Effects ⋮ Weak solutions and optimal control of hemivariational evolutionary Navier-Stokes equations under Rauch condition ⋮ Minimization principle in study of a Stokes hemivariational inequality ⋮ A class of differential hemivariational inequalities in Banach spaces ⋮ Evolutionary subgradient inclusions with nonlinear weakly continuous operators and applications ⋮ Optimal control for elliptic hemivariational inequalities involving nonlinear weakly continuous operators

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