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| Global Stability of Multi-wave Configurations for the Compressible Non-isentropic Euler System* |
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Citation： |
Min DING.Global Stability of Multi-wave Configurations for the Compressible Non-isentropic Euler System*[J].Chinese Annals of Mathematics B,2021,42(6):921~952 |
| Page view： 890
Net amount： 570 |
Authors： |
Min DING; |
Foundation： |
National Natural Science Foundation of China (No. 11701435) and the Fundamental Research Funds for the Central Universities (WUT: 2020IB018). |
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| Abstract： |
This paper is contributed to the structural stability of multi-wave configurations to Cauchy problem for the compressible non-isentropic Euler system with adiabatic exponent γ ∈ (1, 3]. Given some small BV perturbations of the initial state, the author employs a modified wave front tracking method, constructs a new Glimm functional, and proves its monotone decreasing based on the possible local wave interaction estimates, then establishes the global stability of the multi-wave configurations, onsisting of a strong 1-shock wave, a strong 2-contact discontinuity, and a strong 3-shock wave, without restrictions on their strengths. |
Keywords： |
Structural stability, Multi-wave configuration, Shock, Contact discontinuity, Compressible non-isentropic Euler system, Wave front tracking method |
Classification： |
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