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| THE REGULAR SOLUTIONS OF THE ISENTROPIC EULER EQUATIONS WITH DEGENERATE LINEAR DAMPING |
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Citation： |
ZHU Xusheng,WANG Weike.THE REGULAR SOLUTIONS OF THE ISENTROPIC EULER EQUATIONS WITH DEGENERATE LINEAR DAMPING[J].Chinese Annals of Mathematics B,2005,26(4):583~598 |
| Page view： 1374
Net amount： 1085 |
Authors： |
ZHU Xusheng; WANG Weike |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10131050) and the Science and Technology Committee Foundation of Shanghai (No.03JC14013). |
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| Abstract： |
The regular solutions of the isentropic Euler equations with degenerate linear damping for a perfect gas are studied in this paper. And a critical degenerate linear damping coefficient is found, such that if the degenerate linear damping coefficient is larger than it and the gas lies in a compact domain initially, then the regular solution will blow up in finite time; if the degenerate linear damping coefficient is less than it, then under some hypotheses on the initial data, the regular solution exists globally. |
Keywords： |
Compressible isentropic Euler equations, Degenerate linear damping, Regular solution, Blow-up, Global existence |
Classification： |
35L60, 35L65 |
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