Well-posedness of a quasistationary model of a viscous compressible fluid

DOI10.1007/BF02110728zbMath0884.76077OpenAlexW1995781458MaRDI QIDQ1357999

Alexander E. Mamontov

Publication date: 18 March 1998

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02110728

zbMATH Keywords

existenceNavier-Stokes equationsuniquenessa priori estimatesequation of statevelocity potentialexponential stabilization of solutionsisotropic flows

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (2)

Global existence of weak solutions for the anisotropic compressible Stokes system ⋮ On a certain class of convex functions and the exact well-posedness classes of the Cauchy problem for the transport equation in Orlicz spaces

Cites Work

• The initial value problem for the equations of motion of viscous and heat-conductive gases
• The equation of potential flows of a compressible viscous fluid at small Reynolds numbers: Existence, uniqueness, and stabilization of solutions
• On classical solutions of the two-dimensional non-stationary Euler equation
• On the Shallow Water Equations at Low Reynolds Number
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