Navier-Stokes equations in arbitrary domains: the Fujita-Kato scheme

DOI10.4310/MRL.2006.v13.n3.a9zbMath1126.35044arXivmath/0511213MaRDI QIDQ867376

Sylvie Monniaux

Publication date: 15 February 2007

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511213

zbMATH Keywords

mild solutionStokes operatorlocal strong solutionFujita-Kato method

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods applied to PDEs (35A15) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (8)

The Stokes problem in fractal domains: asymptotic behaviour of the solutions ⋮ The incompressible Navier-Stokes system with time-dependent Robin-type boundary conditions ⋮ Behaviour of the Stokes operators under domain perturbation ⋮ Hybrid interpolative mappings for solving fractional Navier-Stokes and functional differential equations ⋮ The regularity of the Stokes operator and the Fujita-Kato approach to the Navier-Stokes initial value problem in Lipschitz domains ⋮ Small moving rigid body into a viscous incompressible fluid ⋮ Pressure-robust error estimate of optimal order for the Stokes equations: domains with re-entrant edges and anisotropic mesh grading ⋮ Existence in critical spaces for the magnetohydrodynamical system in 3D bounded Lipschitz domains

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