Formation of singularities in relativistic fluid dynamics and in spherically symmetric plasma dynamics
Yan Guo, A. Shadi Tahvildar-Zadeh
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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