On the existence of local strong solutions for the Navier-Stokes equations in completely general domains

DOI10.1016/j.na.2010.04.003zbMath1194.35306OpenAlexW2089845676MaRDI QIDQ988794

Hermann Sohr, Reinhard Farwig

Publication date: 19 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.04.003

zbMATH Keywords

strong solutionsweak solutionsgeneral domainsSerrin's classinstationary Navier-Stokes system

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

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