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Volume 13, Issue 1
Gradient Catastrophe in the Classical Solutions of Nonlinear Hyperbolic Systems

A. Messaoudi Salim

J. Part. Diff. Eq., 13 (2000), pp. 28-34.

Published online: 2000-02

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  • 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.
  • Keywords

Classical solution blow up strictly hyperbolic dissipation existence

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COPYRIGHT: © Global Science Press

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@Article{JPDE-13-28, author = {A. Messaoudi Salim }, title = {Gradient Catastrophe in the Classical Solutions of Nonlinear Hyperbolic Systems}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {1}, pages = {28--34}, 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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5494.html} }
TY - JOUR T1 - Gradient Catastrophe in the Classical Solutions of Nonlinear Hyperbolic Systems AU - A. Messaoudi Salim JO - Journal of Partial Differential Equations VL - 1 SP - 28 EP - 34 PY - 2000 DA - 2000/02 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5494.html KW - Classical solution KW - blow up KW - strictly hyperbolic KW - dissipation KW - existence AB - 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.
A. Messaoudi Salim . (2000). Gradient Catastrophe in the Classical Solutions of Nonlinear Hyperbolic Systems. Journal of Partial Differential Equations. 13 (1). 28-34. doi:
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