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<p>We consider the Riemann problem for a&#xa0;model system non-strictly hyperbolic in the sense of Petrovskii in the case where the solution of a&#xa0;strictly hyperbolic block is a&#xa0;rarefaction wave. We describe a&#xa0;full set of geometric solutions depending on the parameters of the problem for the case of nonmonotonic nonlinearity in the last equation.</p>

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ON THE STRUCTURE OF THE SET OF GEOMETRICAL SOLUTIONS FOR THE MODEL SYSTEM IN THE CASE OF RAREFACTION WAVE

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • V. V. Palin

摘要

We consider the Riemann problem for a model system non-strictly hyperbolic in the sense of Petrovskii in the case where the solution of a strictly hyperbolic block is a rarefaction wave. We describe a full set of geometric solutions depending on the parameters of the problem for the case of nonmonotonic nonlinearity in the last equation.