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arXiv · 2001.10306

Singularity formation for rotational gas dynamics

Olga S. Rozanova
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Abstract

The Cauchy problem for the system of equations of two-dimensional rotational gas dynamics is considered. It is assumed that the Cauchy data are a smooth compact perturbation of a constant state. Integral conditions for the data sufficient for the loss of smoothness by a solution within a finite time are found. We analyze the possibility of fulfilling these conditions and compare them with the criterion of singularity formation, known for rotational gas dynamics without pressure.

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Olga S. Rozanova. 2020-01-28. Singularity formation for rotational gas dynamics. https://doi.org/10.1016/j.jmaa.2020.124405

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