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On Critical Thresholds for Hyperbolic Balance Law Systems

  • Manas Bhatnagar,
  • Hailiang Liu

摘要

We review the theoretical development in the study of critical thresholds for hyperbolic balance laws. The emphasis is on two classes of systems: Euler-Poisson-alignment (EPA) systems and hyperbolic relaxation systems. We start with an introduction to the ‘Critical Threshold Phenomena’ and study some nonlocal PDE systems, which are important from modeling point of view.