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Volume 5, Issue 1
Formation of Singularities of Solutions for Cauchy Problem of Quasilinear Hyperbolic Systems with Dissipative Terms

Liu Fagui, Yang Zejiang

J. Part. Diff. Eq.,5(1992),pp.79-89

Published online: 1992-05

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  • 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.
  • Keywords

Quasilinear hyperbolic systems Cauchy problem global smooth solution singularity

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@Article{JPDE-5-79, author = {Liu Fagui, Yang Zejiang}, title = {Formation of Singularities of Solutions for Cauchy Problem of Quasilinear Hyperbolic Systems with Dissipative Terms}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {1}, pages = {79--89}, 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5731.html} }
TY - JOUR T1 - Formation of Singularities of Solutions for Cauchy Problem of Quasilinear Hyperbolic Systems with Dissipative Terms AU - Liu Fagui, Yang Zejiang JO - Journal of Partial Differential Equations VL - 1 SP - 79 EP - 89 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5731.html KW - Quasilinear hyperbolic systems KW - Cauchy problem KW - global smooth solution KW - singularity AB - 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.
Liu Fagui, Yang Zejiang. (1992). Formation of Singularities of Solutions for Cauchy Problem of Quasilinear Hyperbolic Systems with Dissipative Terms. Journal of Partial Differential Equations. 5 (1). 79-89. doi:
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