Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics

1998/07/24 by Yan Guo, Guo, Yan, A. Shadi Tahvildar-Zadeh +1
Mathematics · Physics and Astronomy · #35Q05 #76Y05 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP #msc:35Q05 #msc:76Y05

paper · pdf · doi:10.48550/arxiv.math/9807136

13 pages

arxiv created 1999/02/02 · arxiv updated 2009/11/30

Abstract

We prove that for large enough data, the life span of smooth solutions to the Cauchy problem for the following two quasilinear hyperbolic systems is finite: (1) equations of relativistic compressible fluid dynamics, (2) equations of plasma dynamics (Euler-Maxwell equations with background charge) in the spherically symmetric case.

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