球对称 Chaplygin 气体相对论 Euler 方程组的奇性形成

Abstract

Abstract:

This paper studies the formation of singularities in smooth solutions to three-dimensional (3D) spherically symmetric relativistic Euler matrixs with a Chaplygin gas matrix of state. We give a sufficient condition on the initial data to obtain that the mass-energy density itself of the classical solutions to the Cauchy problem blows up in finite time.

Key words: Relativistic Euler matrixs, Chaplygin gas, Singularities formation, Characteristic decomposition

CLC Number:

O175.27

Shi Yingchun, Lai Geng. Formation of Singularities in Solutions to Spherically Symmetric Relativistic Euler Equations for a Chaplygin Gas[J].Acta mathematica scientia,Series A, 2023, 43(2): 481-490.

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Formation of Singularities in Solutions to Spherically Symmetric Relativistic Euler Equations for a Chaplygin Gas

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