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| The Strong Solution for the Viscous Polytropic Fluids with Non-Newtonian Potential |
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Citation： |
Qiu MENG,Hongjun YUAN.The Strong Solution for the Viscous Polytropic Fluids with Non-Newtonian Potential[J].Chinese Annals of Mathematics B,2019,40(2):237~250 |
| Page view： 1984
Net amount： 1094 |
Authors： |
Qiu MENG; Hongjun YUAN |
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| Abstract： |
The authors study an initial boundary value problem for the
three-dimensional Navier-Stokes equations of viscous heat-conductive
fluids with non-Newtonian potential in a bounded smooth domain. They
prove the existence of unique local strong solutions for all initial
data satisfying some compatibility conditions. The difficult of this
type model is mainly that the equations are coupled with elliptic,
parabolic and hyperbolic, and the vacuum of density causes also much
trouble, that is, the initial density need not be positive and may
vanish in an open set. |
Keywords： |
Compressible Navier-Stokes equations, Viscous polytropic fluids, & Vacuum, Poincar$acute{rm e}$ type inequality, Non-Newtonianpotential |
Classification： |
35A05, 35D35, 76A05, 76D03 |
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