Some uniqueness result of the Stokes flow in a half space in a space of bounded functions

DOI10.3934/dcdss.2014.7.887zbMath1302.35306OpenAlexW2323170405MaRDI QIDQ478876

Ken Abe

Publication date: 5 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2014.7.887

zbMATH Keywords

uniquenessPoiseuille flowStokes equationsduality argumentbounded function spaces

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07)

Related Items (2)

On estimates for the Stokes flow in a space of bounded functions ⋮ On \(L^\infty \)-\textit{BMO} estimates for derivatives of the Stokes semigroup

Cites Work

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• Analyticity of the Stokes semigroup in spaces of bounded functions
• On estimates in Hardy spaces for the Stokes flow in a half space
• The \(L^\infty\)-Stokes semigroup in exterior domains
• EXISTENCE OF STRONG MILD SOLUTION OF THE NAVIER-STOKES EQUATIONS IN THE HALF SPACE WITH NONDECAYING INITIAL DATA
• The Stokes Operator with Robin Boundary Conditions in Solenoidal Subspaces ofL¹(ℝⁿ₊) andL^∞(ℝⁿ₊)
• A solution formula for the Stokes equation in Rn+
• On estimates of solutions of the non-stationary Stokes problem in anisotropic Sobolev spaces and on estimates for the resolvent of the Stokes operator
• \(L^p\)-theory of the Stokes equation in a half space

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