An estimate for the solutions of Stokes equations in exterior domains

DOI10.1007/BF01249337zbMath0792.35130MaRDI QIDQ1324147

Vsevolod A. Solonnikov, Paolo Maremonti

Publication date: 4 July 1994

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

\(L^p\)-estimatesexterior domainStokes system

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45)

Related Items (11)

On the two-dimensional Stokes problem in exterior domains: the maximum modulus theorem ⋮ A remark on the Stokes problem with initial data in \(L^1\) ⋮ Regular solutions to the Navier-Stokes equations with an initial data in \(L(3,\infty )\) ⋮ A remark on the partial regularity of a suitable weak solution to the Navier-Stokes Cauchy problem ⋮ On an interpolation inequality involving the Stokes operator ⋮ A remark on the non-uniqueness in \(L^{\infty}\) of the solutions to the two-dimensional Stokes problem in exterior domains ⋮ Some interpolation inequalities involving Stokes operator and first order derivatives ⋮ On the \(L^p-L^q\) estimates of the gradient of solutions to the Stokes problem ⋮ Existence, uniqueness and attainability of periodic solutions of the Navier-Stokes equations in exterior domains ⋮ Some results on the asymptotic behaviour of weak Hopf solutions of the Navier-Stokes equations in unbounded domains ⋮ A note on the Navier-Stokes IBVP with small data in \(L^n\)

Cites Work

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