The equation of potential flows of a compressible viscous fluid at small Reynolds numbers: Existence, uniqueness, and stabilization of solutions

DOI10.1007/BF00971220zbMath0806.76077MaRDI QIDQ1334430

A. V. Kazhikhov

Publication date: 5 October 1994

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

zbMATH Keywords

boundary value problemsmoothnessfunctional classesmodel system of equationsstabilization at infinite time

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items

The equations of potential flow of compressible viscous fluid at low Reynolds number ⋮ Potential flow of a compressible isothermal viscous fluid. ⋮ Unnamed Item ⋮ Well-posedness of a quasistationary model of a viscous compressible fluid ⋮ On the existence of global weak solutions to the Navier-Stokes equations for viscous compressible and heat conducting fluids ⋮ Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces ⋮ Global existence of weak solutions for the anisotropic compressible Stokes system ⋮ Existence of global strong solutions in critical spaces for barotropic viscous fluids

Cites Work

• The initial value problem for the equations of motion of viscous and heat-conductive gases
• On classical solutions of the two-dimensional non-stationary Euler equation
• On the Shallow Water Equations at Low Reynolds Number
• Le problème de Cauchy pour les équations différentielles d'un fluide général
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