Reduction of the basic initial-boundary value problems for the Navier- Stokes equations to initial-boundary value problems for nonlinear parabolic systems of pseudodifferential equations

DOI10.1007/BF01671932zbMath0729.35102MaRDI QIDQ805910

Gerd Grubb, Vsevolod A. Solonnikov

Publication date: 1991

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/188425

zbMATH Keywords

local solvabilitysmall time intervalSobolev-Slobodetskij spaces

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Boundary value problems for PDEs with pseudodifferential operators (35S15)

Related Items

Error estimates for finite-element Navier-Stokes solvers without standard inf-sup conditions, Coercivity and stability results for an extended Navier-Stokes system

Cites Work

• Functional calculus of pseudo-differential boundary problems
• The method of orthogonal projection in potential theory
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