Gradient Catastrophe in the Classical Solutions of Nonlinear Hyperbolic Systems Authors A. Messaoudi Salim Keywords: Classical solution;blow up;strictly hyperbolic;dissipation;existence 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. Downloads Preview Full PDF Published 2000-02-02 Issue Vol. 13 No. 1 (2000) Section Articles