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Global Weak Solutions to One-Dimensional Compressible Navier-Stokes Equations with Density-Dependent Viscosity Coefficients
被引:1
|作者:
Li Wuming
[1
]
Jiu Quansen
[2
]
机构:
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China
[2] Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China
来源:
关键词:
Compressible Navier-Stokes equations;
weak solutions;
global existence;
D O I:
10.4208/jpde.v23.n3.6
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We prove the global existence of weak solutions of the one-dimensional compressible Navier-stokes equations with density-dependent viscosity. In particular, we assume that the initial density belongs to L-1 and L-infinity, module constant states at x = -infinity and x = +infinity, which may be different. The initial vacuum is permitted in this paper and the results may apply to the one-dimensional Saint-Venant model for shallow water.
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页码:290 / 304
页数:15
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