• 科學研究
    報告題目:

    Vacuum free boundary problem of the full compressible Navier-Stokes equations

    報告人:

    袁源 博士(華南師范大學)

    報告時間:

    報告地點:

    騰訊會議 ID:503 931 182

    報告摘要:

    This talk focus on the motions of the nonisentropic viscous gas surrounded by the vacuum, which is modeled by the free boundary problem of the full compressible Navier-Stokes equations. The local-in-time existence and uniqueness of strong solutions in three-dimensional space are proved. The vanishing density and temperature condition is imposed on the free boundary, and the entropy is bounded.

    We will also introduce a class of globally defined large solutions to the free boundary problem of compressible full Navier-Stokes equations with constant shear viscosity, vanishing bulk viscosity and heat conductivity. We establish such solutions with initial data perturbed around the self-similar solutions when the thermodynamic coefficient γ>7/6. When 7/6<γ<7/3, solutions with bounded entropy can be constructed. If, in addition, in the case when 11/9<γ<5/3, we can construct a solution as a global-in-time small perturbation of the self-similar solution and the entropy is uniformly bounded in time.

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