Global regularity estimates for multidimensional equations of compressible non-Newtonian fluids

DOI10.1007/BF02674554zbMath0979.35123OpenAlexW2143008500MaRDI QIDQ5941992

Alexander E. Mamontov

Publication date: 28 August 2001

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

Full work available at URL: https://doi.org/10.1007/bf02674554

zbMATH Keywords

energy identityglobal regularitymultidimensional equations of compressible non-Newtonian fluidspotential stress tensor

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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 (8)

Global classical solution to a one-dimensional compressible non-Newtonian fluid with large initial data and vacuum ⋮ Stability of boundary layer to an outflow problem for a compressible non-Newtonian fluid in the half space ⋮ Large-time behavior of solution to an inflow problem on the half space for a class of compressible non-Newtonian fluids ⋮ Global weak solutions to a Vlasov‐Fokker‐Planck/compressible non‐Newtonian fluid system of equations ⋮ Existence of global solutions to multidimensional equations for Bingham fluids ⋮ Local strong solutions to a compressible non‐Newtonian fluid with density‐dependent viscosity ⋮ Nonexistence results for a compressible non-Newtonian fluid with magnetic effects in the whole space ⋮ Zero dissipation limit to rarefaction wave with vacuum for a one-dimensional compressible non-Newtonian fluid

Cites Work

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• Existence of global solutions of multidimensional Burgers equations for a compressible viscous fluid
• On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid
• Global solvability of the multidimensional Navier-Stokes equations of a compressible fluid with nonlinear viscosity. ~\text{I}
• Interpolation non linéaire et régularité

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