Global Leray-Hopf Weak Solutions of the Navier-Stokes Equations with Nonzero Time-dependent Boundary Values

DOI10.1007/978-3-0348-0075-4_11zbMath1247.35090OpenAlexW169301347MaRDI QIDQ2909930

Hermann Sohr, Hideo Kozono, Reinhard Farwig

Publication date: 7 September 2012

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0075-4_11

zbMATH Keywords

weak solutionslong-time behaviorenergy inequalitytime-dependent datainstationary Navier-Stokes equationsnon-zero boundary values

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 (4)

Existence of strong solutions and decay of turbulent solutions of Navier-Stokes flow with nonzero Dirichlet boundary data ⋮ Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence ⋮ Weak solutions of the Navier-Stokes equations with non-zero boundary values in an exterior domain satisfying the strong energy inequality ⋮ Leray-Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress-strain relation

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