Existence of the unique strong solution for a class of non-Newtonian fluids with vacuum

DOI10.1090/S0033-569X-08-01103-9zbMath1142.76008MaRDI QIDQ3506767

Xiaojing Xu, Hongjun Yuan

Publication date: 17 June 2008

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2008-66-02/S0033-569X-08-01103-9/home.html

zbMATH Keywords

uniform estimatespositive density

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (6)

A class of compressible non-Newtonian fluids with external force and vacuum under no compatibility conditions ⋮ Existence and uniqueness of solutions for a class of non-Newtonian fluids with vacuum and damping ⋮ Finite velocity of the propagation of perturbations for a class of non-Newtonian fluids ⋮ Local strong solutions to a compressible non‐Newtonian fluid with density‐dependent viscosity ⋮ Unique solvability for the density-dependent non-Newtonian compressible fluids with vacuum ⋮ Global strong solutions for a class of compressible non-Newtonian fluids with vacuum

Cites Work

• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
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• Bipolar isothermal non-Newtonian compressible fluids
• Existence, regularity, and decay rate of solutions of non-Newtonian flow
• Compressible Euler equations with vacuum
• Unique solvability of the initial boundary value problems for compressible viscous fluids.
• Vacuum states for compressible flow
• Strong solutions of the Navier-Stokes equations for isentropic compressible fluids
• Multipolar viscous fluids
• Sur la solution à support compact de l’equation d’Euler compressible
• Phenomenological behavior of multipolar viscous fluids
• Some qualitative properties of the viscous compressible meat conductive multipolar fluid
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