Blow-up for Joseph-Egri equation: Theoretical approach and numerical analysis

摘要

This work develops the theory of the blow-up phenomena for Joseph-Egri equation. The existence of the nonextendable solution of two initial-boundary value problems (on a segment and a half-line) is demonstrated. Sufficient conditions of the finite-time blow-up of these solutions, as well as the analytical estimates of the blow-up time, are obtained. A numerical method that allows to precise the blow-up moment for specified initial data is proposed.