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| On the Irrotational Approximation to the 2-Dimensional Isothermal Euler System |
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Citation： |
Li WANG.On the Irrotational Approximation to the 2-Dimensional Isothermal Euler System[J].Chinese Annals of Mathematics B,2013,34(6):903~916 |
| Page view： 1596
Net amount： 1533 |
Authors： |
Li WANG; |
Foundation： |
Tianyuan Special Funds of the National Natural Science Foundation of China(No. 11226171), the Research Award Fund for Young Teachers in Shanghai Higher Education Institutions(No. shdj008) and the Fundamental Research Funds for Shanghai Dianji University (No. 11C417). |
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| Abstract： |
The author mainly studies the difference of the weak solutions generated by
a wave front tracking algorithm to the steady Euler system and the isothermal Euler
system. Under the hypothesis that the initial data are of sufficiently small total variation,
it is proved that the difference between the solutions of the steady Euler system and the
system of isothermal supersonic flow can be bounded by the cube of the total variation of
the initial perturbation. |
Keywords： |
Irrotational approximation, Isothermal Euler system, Semigroup |
Classification： |
35L65, 35L56 |
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