Global Stability of Multi-wave Configurations for the Compressible Non-isentropic Euler System
Min Ding
Chinese Annals of Mathematics, Series B ›› 2021, Vol. 42 ›› Issue (6) : 921 -952.
Global Stability of Multi-wave Configurations for the Compressible Non-isentropic Euler System
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.
Structural stability / Multi-wave configuration / Shock / Contact discontinuity / Compressible non-isentropic Euler system / Wave front tracking method
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