On the solvability of initial-boundary value problems for a viscous compressible fluid in an infinite time interval

DOI10.1090/spmj/1402zbMath1334.35212OpenAlexW2321544980MaRDI QIDQ2797736

Vsevolod A. Solonnikov

Publication date: 6 April 2016

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1402

zbMATH Keywords

Navier-Stokes equationsviscosityanisotropic Sobolev-Slobodetski spaces

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30)

Related Items (1)

Pontryagin maximum principle for the optimal control of linearized compressible Navier-Stokes equations with state constraints

Cites Work

• Asymptotic stability of steady compressible fluids.
• Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
• Free boundary problem of magnetohydrodynamics
• About the resolvent of an operator from fluid dynamics
• About compressible viscous fluid flow in a bounded region
• The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
• On the exponential stability of the rest state of a viscous compressible fluid
• On energy inequality for the problem on the evolution of two fluids of different types without surface tension
• Global \(L_{2}\)-solvability of a problem governing two-phase fluid motion without surface tension
• On Nonstationary Motion of a Compressible Barotropic Viscous Capillary Fluid Bounded by a Free Surface
• On the $\mathcal{R}$-Sectoriality and the Initial Boundary Value Problem for the Viscous Compressible Fluid Flow
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
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