@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} }