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<p>This paper concerns the existence and <i>C</i><sup>1</sup> stability of time-periodic solutions to nonisentropic gas dynamic equations with damping in the Lagrange coordinates. We prove that time-periodic boundary conditions with one side dissipative structure can trigger a <i>C</i><sup>1</sup> stable time-periodic solution, which may be supersonic, subsonic and transonic depending on the steady background flows.</p>

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Time-periodic Smooth Solutions to Nonisentropic Gas Dynamic Equations with Damping

  • 期刊论文

  • 发表日期：

    2025年12月8日

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  • Xiao-min Zhang,
  • Hui-min Yu

摘要

This paper concerns the existence and C1 stability of time-periodic solutions to nonisentropic gas dynamic equations with damping in the Lagrange coordinates. We prove that time-periodic boundary conditions with one side dissipative structure can trigger a C1 stable time-periodic solution, which may be supersonic, subsonic and transonic depending on the steady background flows.