On the existence of local classical solution for a class of one-dimensional compressible non-newtonian fluids
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Cited by (9)
Global classical solution to a one-dimensional compressible non-Newtonian fluid with large initial data and vacuum
2018, Nonlinear Analysis, Theory, Methods and ApplicationsCitation Excerpt :Recently, Feireisl and his cooperators [9] studied the long-time and large-data existence result of weak solutions to a class of compressible non-Newtonian fluid with nonlinear constitutive equation that guarantee that the divergence of the velocity field remains bounded, provided that the initial density is strictly positive. For more details, one can also refer [1,2,6–8,11–13,18] and the reference therein. Our main result is stated as follows.
GLOBAL WEAK SOLUTIONS TO A THREE-DIMENSIONAL COMPRESSIBLE NON-NEWTONIAN FLUID
2022, Communications in Mathematical SciencesExistence and uniqueness of global strong solutions for a class of non-Newtonian fluids with small initial energy and vacuum
2021, Comptes Rendus - MecaniqueGENERALIZED SOLUTIONS to MODELS of COMPRESSIBLE VISCOUS FLUIDS
2020, Discrete and Continuous Dynamical Systems- Series ALocal Strong Solutions for the Compressible Non-Newtonian Models with Density-Dependent Viscosity and Vacuum
2020, Chinese Annals of Mathematics. Series BGlobal weak solutions to a Vlasov-Fokker-Planck/compressible non-Newtonian fluid system of equations
2020, ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Supported by NSFC (11201371, 1331005), and Natural Science Foundation of Shaanxi Province (2012JQ020).
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