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| Local Strong Solutions for the Compressible Non- Newtonian Models with Density-Dependent Viscosity and Vacuum |
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Citation： |
Lining TONG,Yanyan SUN.Local Strong Solutions for the Compressible Non- Newtonian Models with Density-Dependent Viscosity and Vacuum[J].Chinese Annals of Mathematics B,2020,41(3):371~382 |
| Page view： 741
Net amount： 529 |
Authors： |
Lining TONG; Yanyan SUN |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (Nos.11371240, 11771274, 11901379). |
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| Abstract： |
The one-dimensional compressible non-Newtonian models are considered
in this paper. The extra-stress tensor in our models satisfies a
kind of power law structure which was proposed by O. A.
Ladyzhenskaya in 1970s. In particular, the viscosity coefficient in
our models depends on the density. By using energy-estimate,
the authors obtain the existence and uniqueness of local strong
solutions for which the density is non-negative. |
Keywords： |
Compressible non-Newtonian fluid, Density dependent, Vacuum |
Classification： |
76N10,\ 35M10,\ 35Q30 |
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