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[01524] Radon measure solutions to compressible Euler equations and applications

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @G701
  • Type : Contributed Talk
  • Abstract : We proposed a definition of Radon measure solutions to the compressible Euler equations with general constitutive relations. With this definition, we proved the Newton-Busemann law for stationary hypersonic flow passing bodies, constructed delta shock solutions to the Riemann problems of the rectilinear barotropic Euler equations, justified the interpretation of delta shocks as free pistons. This shows the possibility of treating solid-fluid interaction problems by simpler Cauchy problems with solutions in the class of Radon measures.
  • Classification : 35R06, 35Q31, 35D99
  • Format : Talk at Waseda University
  • Author(s) :
    • Hairong Yuan (East China Normal University )
    • Aifang Qu (Shanghai Normal University )