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, consisting of a strong 1-shock wave, a strong 2-contact discontinuity, and a strong 3-shock wave, without restrictions on their strengths.
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This work was supported by the National Natural Science Foundation of China (No. 11701435) and the Fundamental Research Funds for the Central Universities (WUT: 2020IB018).
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Ding, M. Global Stability of Multi-wave Configurations for the Compressible Non-isentropic Euler System. Chin. Ann. Math. Ser. B 42, 921–952 (2021). https://doi.org/10.1007/s11401-021-0298-x
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DOI: https://doi.org/10.1007/s11401-021-0298-x
Keywords
- Structural stability
- Multi-wave configuration
- Shock
- Contact discontinuity
- Compressible non-isentropic Euler system
- Wave front tracking method