Linear Degeneracy in a Class of Nonlinear Second-Order Hyperbolic Systems
Analysis of PDEs
2024-06-04 v1 Mathematical Physics
math.MP
Abstract
For a class of nonlinear hyperbolic systems of second order the paper shows that all Lax modes associated with their first-order formulations are linearly degenerate. This property holds for recently considered models of dissipative relativistic fluid dynamics, supporting the possibility that solutions to these models generally avoid singularity formation.
Keywords
Cite
@article{arxiv.2406.00719,
title = {Linear Degeneracy in a Class of Nonlinear Second-Order Hyperbolic Systems},
author = {Heinrich Freistuhler},
journal= {arXiv preprint arXiv:2406.00719},
year = {2024}
}