Existence and uniqueness of the weak solutions for the steady incompressible Navier-Stokes equations with damping

zbMath1291.76080MaRDI QIDQ421978

Wuming Li, Quan-sen Jiu, Xin Xia Wang

Publication date: 15 May 2012

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.adjm/1318535329

zbMATH Keywords

existenceuniquenessincompressible Navier-Stokes equationsweak solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Superconvergent analysis of a nonconforming mixed finite element method for time-dependent damped Navier-Stokes equations

Cites Work

• Weak and strong solutions for the incompressible Navier-Stokes equations with damping
• Weak solutions of Navier-Stokes equations
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Convergence rate for compressible Euler equations with damping and vacuum
• Regular solutions of the stationary Navier-Stokes equations on \(\mathbb{R}^ 5\)
• On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
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