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<p>In this paper, we study the nonlinear stability of a composite wave, which is composed of a smooth rarefaction wave and a viscous contact discontinuity, to the Cauchy problem of the non-isentropic Navier-Stokes-Poisson system with large initial data. Our main strategy is to use the smallness of the strength of the composite wave to control the possible growth of the nonlinear terms of the Navier-Stokes-Poisson equations and make full use of the Poisson equation to deal with the terms involving electrostatic potential force. The main ingredients of our analysis are to use the domain decomposition technique in obtaining the basic energy estimates and to introduce some auxiliary functions to find the uniform bound of specific volume and absolute temperature.</p>

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Nonlinear stability of a composite wave pattern for non-isentropic compressible Navier-Stokes-Poisson equations with large initial perturbations

  • 期刊论文

  • 发表日期：

    2026年2月10日

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  • Huijiang Zhao,
  • Qingsong Zhao

摘要

In this paper, we study the nonlinear stability of a composite wave, which is composed of a smooth rarefaction wave and a viscous contact discontinuity, to the Cauchy problem of the non-isentropic Navier-Stokes-Poisson system with large initial data. Our main strategy is to use the smallness of the strength of the composite wave to control the possible growth of the nonlinear terms of the Navier-Stokes-Poisson equations and make full use of the Poisson equation to deal with the terms involving electrostatic potential force. The main ingredients of our analysis are to use the domain decomposition technique in obtaining the basic energy estimates and to introduce some auxiliary functions to find the uniform bound of specific volume and absolute temperature.