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

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

1998-07-24

arxiv.org/abs/math/9807136v2

Mathematics

Analysis of PDEs

13 pages

Scientific paper

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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