Formation of Singularities of Solutions for Cauchy Problem of Quasilinear Hyperbolic Systems with Dissipative Terms

Authors

  • Liu Fagui, Yang Zejiang

Keywords:

Quasilinear hyperbolic systems; Cauchy problem; global smooth solution; singularity

Abstract

ln this paper, for a class of 2 × 2 quasilinear hyperbolic systems, we get existence theorems of the global smooth solutions of its Cauchy problem, under a certain hypotheses. In addition, Tor two concrete quasilinear hyperbolic systems, we study the formation of the singularities of the C¹-solution to its Cauchy problem.

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Published

1992-05-01

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Issue

Vol. 5 No. 1 (1992)

Section

Articles

How to Cite

Formation of Singularities of Solutions for Cauchy Problem of Quasilinear Hyperbolic Systems with Dissipative Terms. (1992). Journal of Partial Differential Equations, 5(1), 79-89. https://global-sci.com/index.php/jpde/article/view/3705