Existence and uniqueness of solutions for a class of non-Newtonian fluids with singularity and vacuum

DOI10.1016/j.jde.2008.04.013zbMath1148.76004OpenAlexW1987732843MaRDI QIDQ952527

Hongjun Yuan, Xiaojing Xu

Publication date: 12 November 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.04.013

zbMATH Keywords

convergenceuniform estimate

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)

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Cites Work

• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Global solution to the compressible isothermal multipolar fluid
• Bipolar isothermal non-Newtonian compressible fluids
• Existence, regularity, and decay rate of solutions of non-Newtonian flow
• Compressible Navier-Stokes equations with degenerate viscosity coefficient and 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
• COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
• Sur la solution à support compact de l’equation d’Euler compressible
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
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