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

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. © 2020 John Wiley & Sons, Ltd.

Authors
Korpusov M.O. 1, 2 , Lukyanenko D.V. 1, 3 , Panin A.A. 1
Journal
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Number of issue
11
Language
English
Pages
6771-6800
Status
Published
Link
External link
DOI
10.1002/mma.6421
Volume
43
Year
2020
Organizations
  • 1 Department of Mathematics, Faculty of Physics, Lomonosov Moscow State University, Moscow, Russian Federation
  • 2 Nikolsky Mathematical Institute, Faculty of Science, Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 3 Moscow Center of Fundamental and Applied Mathematics, Moscow, Russian Federation
Keywords
blow-up in finite time; contracting mapping; global unsolvability; nonextendable solution; quasiuniform mesh; Richardson extrapolation; test function
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64518/
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