On the existence of local classical solutions for a class of one-dimensional compressible non-Newtonian fluids

DOI10.1016/S0252-9602(14)60148-XzbMath1340.76071OpenAlexW1982106338MaRDI QIDQ748412

Li Fang, Zilai Li

Publication date: 28 October 2015

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(14)60148-x

zbMATH Keywords

vacuumcompressible non-Newtonian fluidslocal classical solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs of mixed type (35M10) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (7)

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 ⋮ On integrability up to the boundary of the weak solutions to a non-Newtonian fluid ⋮ Local strong solutions for the compressible non-Newtonian models with density-dependent viscosity and vacuum ⋮ Global weak solutions to a Vlasov‐Fokker‐Planck/compressible non‐Newtonian fluid system of equations ⋮ Generalized solutions to models of compressible viscous fluids ⋮ Local strong solutions to a compressible non‐Newtonian fluid with density‐dependent viscosity

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