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2016•arXiv (Cornell University)Open access

A criterion of singularity formation for the non-isentropic gas dynamics equations

Olga Sergeevna Rozanova

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Abstract

For the 1D non-isentropic polytropic gas dynamics equations we find sufficient and necessary conditions for blow up of derivatives in the terms of Cauchy data. In particular, the method allows to determine exact class of initial data corresponding to globally smooth in time solution.

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For the 1D non-isentropic polytropic gas dynamics equations we find sufficient and necessary conditions for blow up of derivatives in the terms of Cauchy data. In particular, the method allows to determine exact class of initial data corresponding to globally smooth in time solution.

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Available abstract

For the 1D non-isentropic polytropic gas dynamics equations we find sufficient and necessary conditions for blow up of derivatives in the terms of Cauchy data. In particular, the method allows to determine exact class of initial data corresponding to globally smooth in time solution.

Key concepts: Polytropic process, Isentropic process, Singularity, Gas dynamics, Dynamics (music), Mathematics, Initial value problem, Mathematical analysis

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