Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics
Analysis of PDEs
2007-05-23 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.math/9807136,
title = {Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics},
author = {Yan Guo and A. Shadi Tahvildar-Zadeh},
journal= {arXiv preprint arXiv:math/9807136},
year = {2007}
}
Comments
13 pages