On the Solvability of Free Boundary Problem for Viscous Compressible Fluids in an Infinite Time Interval

DOI10.1007/978-4-431-56457-7_10zbMath1371.35224OpenAlexW2558325776MaRDI QIDQ5278252

Vsevolod A. Solonnikov

Publication date: 13 July 2017

Published in: Mathematical Fluid Dynamics, Present and Future (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-56457-7_10

zbMATH Keywords

Sobolev spacesexponential stabilitycompressible fluids

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Willmore flow of planar networks ⋮ On the model problem arising in the study of motion of viscous compressible and incompressible fluids with a free interface

Cites Work

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• 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 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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