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


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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Total: 11 articles

  • [1] Gui-Qiang G.CHEN;Matthew RIGBY;Mathematical Institute, University of Oxford;, STABILITY OF STEADY MULTI-WAVE CONFIGURATIONS FOR THE FULL EULER EQUATIONS OF COMPRESSIBLE FLUID FLOW, Acta Mathematica Scientia(English Series),
  • [2] Marta Lewicka, Well-Posedness for Hyperbolic Systems of Conservation Laws with Large BV Data, Archive for Rational Mechanics and Analysis,
  • [3] Unique Solutions of 2 × 2 Conservation Laws with Large Data, Indiana University Mathematics Journal,
  • [4] P. D. Lax, Hyperbolic systems of conservation laws II, Communications on Pure and Applied Mathematics,


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