Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\)

DOI10.1016/j.jde.2005.10.009zbMath1119.35045OpenAlexW2006720652MaRDI QIDQ2498845

Hermann Sohr, Reinhard Farwig, Giovanni Paolo Galdi

Publication date: 16 August 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2005.10.009

zbMATH Keywords

existenceuniquenessvery weak solutionstationary Stokes equationstationary Navier-Stokes equation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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Cites Work

• A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in \(W^{-1/q,q}\)
• Domains of fractional powers of the Stokes operator in \(L_ r\) spaces
• Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
• Algebraic \(L^ 2\) decay for Navier-Stokes flows in exterior domains. II
• Very Weak Solutions of Stationary and Instationary Navier-Stokes Equations with Nonhomogeneous Data
• Structure of the set of stationary solutions of the navier‐stokes equations
• NavierStokes Equations with Nonhomogeneous Dirichlet Data
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