Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence

DOI10.4171/RSMUP/125-4zbMath1236.35103MaRDI QIDQ641036

Reinhard Farwig, Hermann Sohr, Hideo Kozono

Publication date: 21 October 2011

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/242112

zbMATH Keywords

existenceNavier-Stokes equationdivergenceglobal weak solutionperturbation termapproximate systemboundary data

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)

Related Items (9)

Global Leray-Hopf Weak Solutions of the Navier-Stokes Equations with Nonzero Time-dependent Boundary Values ⋮ A new linearly extrapolated Crank-Nicolson time-stepping scheme for the Navier-Stokes equations ⋮ Jean Leray: Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math. 63 (1934), 193--248 ⋮ Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions ⋮ Epsilon regularity for the Navier-Stokes equations via weak-strong uniqueness ⋮ Solvability of the initial-boundary value problem of the Navier-Stokes equations with rough data ⋮ Initial and boundary value problem of the unsteady Navier-Stokes system in the half-space with Hölder continuous boundary data ⋮ Initial-boundary value problem of the Navier-Stokes equations in the half space with nonhomogeneous data ⋮ Leray-Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress-strain relation

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