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Matematicheskie Zametki, 2019, Volume 105, Issue 5, Pages 708–723
DOI: https://doi.org/10.4213/mzm12052 (Mi mzm12052) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Nonextendable Solutions and Blow-Ups of Solutions of Pseudoparabolic Equations with Coercive and Constant-Sign Nonlinearities: Analytical and Numerical Study

I. I. Kolotov, A. A. Panin

Lomonosov Moscow State University
Full-text PDF (558 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm12052
Abstract: The blow-up of solutions of two initial boundary-value problems different in the form of the equation's nonlinearity is investigated. This leads to different approaches to the analytical proof of the blow-up of solutions, but a result about the blow-up of solutions is obtained in both cases. The analytical study is supplemented by numerical investigations, which make it possible to determine the time of the blow-up and its character in each particular case.
Keywords: blow-up, nonextendable solution, pseudoparabolic equation, Richardson extrapolation.
Funding agency Grant number
Russian Science Foundation 18-11-00042
This work was supported by the Russian Science Foundation under grant 18-11-00042.
Received: 23.04.2018
Revised: 20.06.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 5, Pages 694–706
DOI: https://doi.org/10.1134/S0001434619050067
Bibliographic databases:
Document Type: Article
UDC: 517.957+519.6
Language: Russian
Citation: I. I. Kolotov, A. A. Panin, “On Nonextendable Solutions and Blow-Ups of Solutions of Pseudoparabolic Equations with Coercive and Constant-Sign Nonlinearities: Analytical and Numerical Study”, Mat. Zametki, 105:5 (2019), 708–723; Math. Notes, 105:5 (2019), 694–706
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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