Min DING;Department of Mathematics, School of Science, Wuhan University of Technology;
Department of Mathematics, School of Science, Wuhan University of Technology;
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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