Global Stability of Multi-wave Configurations for the Compressible Non-isentropic Euler System*

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
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Authors:

Min DING;

Foundation:

National Natural Science Foundation of China (No. 11701435) and the Fundamental Research Funds for the Central Universities (WUT: 2020IB018).
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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