Optimal initial value conditions for local strong solutions of the Navier–Stokes equations in exterior domains

DOI10.1524/anly.2013.1134zbMath1274.76189OpenAlexW2038981077MaRDI QIDQ2841424

Christian Komo, Reinhard Farwig

Publication date: 25 July 2013

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2013.1134

zbMATH Keywords

initial valuesstrong solutionsweak solutionsexterior domainsinstationary Navier-Stokes equationsSerrin's class

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Related Items (5)

Initial and boundary values for \(L_\alpha^q(L^p)\) solution of the Navier-Stokes equations in the half-space ⋮ On regularity of weak solutions to the instationary Navier-Stokes system: a review on recent results ⋮ Optimal initial value conditions for the existence of strong solutions of the Boussinesq equations ⋮ Local Regularity Results for the Instationary Navier-Stokes Equations Based on Besov Space Type Criteria ⋮ Necessary and sufficient conditions for local strong solvability of the Navier-Stokes equations in exterior domains

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