@Article{JPDE-13-1, author = {}, 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/2000-JPDE-5494}, url = {https://global-sci.com/article/88664/gradient-catastrophe-in-the-classical-solutions-of-nonlinear-hyperbolic-systems} }