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<p>We are concerned with a coupling effect of radiation, heat diffusion, damping relaxation, and electric potential on solutions to a 1D compressible radiation hydrodynamics system. We conclude that there exists singularities of solutions to such a system under large initial data by proving that the partial derivatives of the Riemann invariants will blow up in finite time.</p>

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Formation of singularities of solutions to a 1D compressible radiation hydrodynamics model with damping relaxation and electric potential

  • 期刊论文

  • 发表日期：

    2025年10月10日

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  • Jialing Zhu

摘要

We are concerned with a coupling effect of radiation, heat diffusion, damping relaxation, and electric potential on solutions to a 1D compressible radiation hydrodynamics system. We conclude that there exists singularities of solutions to such a system under large initial data by proving that the partial derivatives of the Riemann invariants will blow up in finite time.