English

Symmetric hyperbolic systems and shock waves

Analysis of PDEs 2025-07-10 v1 Mathematical Physics Functional Analysis math.MP

Abstract

The theory of symmetric-hyperbolic systems is useful for constructing smooth solutions of nonlinear wave equations, and for studying their singularities, including shock waves. We present the main techniques which are required to apply the theory in Mathematical Physics.

Keywords

Cite

@article{arxiv.2507.06686,
  title  = {Symmetric hyperbolic systems and shock waves},
  author = {Satyanad Kichenassamy},
  journal= {arXiv preprint arXiv:2507.06686},
  year   = {2025}
}
R2 v1 2026-07-01T03:52:54.684Z