Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics
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 (EulerMaxwell equations with background charge) in the spherically symmetric case.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 July 1998
 DOI:
 10.48550/arXiv.math/9807136
 arXiv:
 arXiv:math/9807136
 Bibcode:
 1998math......7136G
 Keywords:

 Mathematics  Analysis of PDEs;
 Mathematical Physics;
 Mathematics  Mathematical Physics;
 76Y05;
 35Q05
 EPrint:
 13 pages