Solutions of the stationary Navier-Stokes system of equations with an infinite Dirichlet integral

DOI10.1007/BF02112345zbMath0561.76045MaRDI QIDQ2266641

Vsevolod A. Solonnikov

Publication date: 1985

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

zbMATH Keywords

stationaryinfinite Dirichlet integral in unbounded three-dimensional region

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05)

Related Items (3)

Strong solutions of the steady nonlinear Navier-Stokes system in domains with exits to infinity ⋮ Asymptotics of solutions to Stokes and Navier-Stokes equations in domains with paraboloidal outlets to infinity ⋮ Nonhomogeneous boundary value problem for the time periodic linearized Navier-Stokes system in a domain with outlet to infinity

Cites Work

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• Existence of solutions for the Navier-Stokes equations, having an infinite dissipation of energy, in a class of domains with noncompact boundaries
• Some problems of vector analysis and generalized formulations of boundary-value problems for the Navier-Stokes equations
• Determination of the solutions of boundary value problems for stationary Stokes and Navier-Stokes equations having an unbounded Dirichlet integral
• Saint-Venant's principle

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