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| Global Existence of Strong Solutions of Navier-Stokes-Poisson Equations for One-Dimensional Isentropic Compressible Fluids |
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Citation： |
Junping YIN,Zhong TAN.Global Existence of Strong Solutions of Navier-Stokes-Poisson Equations for One-Dimensional Isentropic Compressible Fluids[J].Chinese Annals of Mathematics B,2008,29(4):441~458 |
| Page view： 1413
Net amount： 819 |
Authors： |
Junping YIN; Zhong TAN |
Foundation： |
the National Natural Science Foundation of China (No. 10531020) and the Program of 985 Innovation Engineering on Information in Xiamen University (2004–2007) and the New Century Excellent Talents in Xiamen University. |
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| Abstract： |
The authors prove two global existence results of strong solutions of the isentropic compressible Navier-Stokes-Poisson equations in one-dimensional bounded intervals. The first result shows only the existence. And the second one shows the existence and uniqueness result based on the first result, but the uniqueness requires some compatibility condition. In this paper the initial vacuum is allowed, and T is bounded. |
Keywords： |
Global strong solutions, Navier-Stokes-Poisson equations, Existence and uniqueness |
Classification： |
35A05, 35Q30 |
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