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Gradient Catastrophe in the Classical Solutions of Nonlinear Hyperbolic Systems
Authors:A Messaoudi Salim
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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