Title of article
Delta shocks and vacuum states in vanishing pressure limits of solutions to the relativistic Euler equations for polytropic gases
Author/Authors
Yin، نويسنده , , Gan and Sheng، نويسنده , , Wancheng، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
12
From page
594
To page
605
Abstract
The Riemann solutions for the Euler system of conservation laws of energy and momentum in special relativity for polytropic gases are considered. It is rigorously proved that, as pressure vanishes, they tend to the two kinds of Riemann solutions to the corresponding pressureless relativistic Euler equations: the one includes a delta shock, which is formed by a weighted δ-measure, and the other involves vacuum state.
Keywords
Vacuum , Delta shock waves , Relativistic Euler equations in special relativity , Pressureless relativistic Euler equations , Vanishing pressure limits
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560262
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