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Blow‐up for Joseph–Egri equation: Theoretical approach and numerical analysis
Author(s) -
Korpusov Maxim O.,
Lukyanenko Dmitry V.,
Panin Alexander A.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6421
Subject(s) - mathematics , work (physics) , initial value problem , boundary value problem , moment (physics) , mathematical analysis , numerical analysis , calculus (dental) , classical mechanics , physics , medicine , dentistry , thermodynamics
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.