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arXiv · 2406.00719

Linear Degeneracy in a Class of Nonlinear Second-Order Hyperbolic Systems

Heinrich Freistuhler
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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.

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Heinrich Freistuhler. 2024-06-02. Linear Degeneracy in a Class of Nonlinear Second-Order Hyperbolic Systems. https://arxiv.org/abs/2406.00719

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