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.