Gradient Catastrophe in the Classical Solutions of Nonlinear Hyperbolic Systems

Authors

  • A. Messaoudi Salim

Keywords:

Classical solution;blow up;strictly hyperbolic;dissipation;existence

Abstract

Classical solutions of hyperbolic systems, generally, collapse in finite time, even for small and smooth initial data. Here, we consider a type of these systems and prove a blow up result.

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Published

2000-02-02

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Issue

Vol. 13 No. 1 (2000)

Section

Articles

How to Cite

Gradient Catastrophe in the Classical Solutions of Nonlinear Hyperbolic Systems. (2000). Journal of Partial Differential Equations, 13(1), 28-34. https://www.global-sci.com/index.php/jpde/article/view/3930

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