Critical Thresholds in Hyperbolic Relaxation Systems

Tong Li
University of Iowa
Department of Mathematics

Critical threshold phenomena in one dimensional 2 × 2 quasi-linear hyper-bolic relaxation systems are investigated. We prove global in time regularity and finite time singularity formation of solutions simultaneously by showing
the critical threshold phenomena associated with the underlying relaxation systems. Our results apply to the well-known isentropic Euler system with damping. This is a joint work with Hailiang Liu.

Presentation (PDF File)

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