Linear Degeneracy in a Class of Nonlinear Second-Order Hyperbolic Systems
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2024
- DOI:
- 10.48550/arXiv.2406.00719
- arXiv:
- arXiv:2406.00719
- Bibcode:
- 2024arXiv240600719F
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematical Physics