Singularity formation for rotational gas dynamics

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.

arXiv comment15 pages, 3 figures

References in corpus (3)

• Rotation Prevents Finite-Time Breakdown
• Development of singularities for the compressible Euler equations with external force in several dimensions
• The solution of the Cauchy problem for the two-dimensional transport equation on a rotating plane

Cited by in corpus (1)

• Localization of the formation of singularities in multidimensional compressible Euler equations