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
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.
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
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https://doi.org/10.4213/mzm12052
https://www.mathnet.ru/eng/mzm/v105/i5/p708
This publication is cited in the following 1 articles:
M. O. Korpusov, A. N. Levashov, D. V. Lukyanenko, “Analytical-numerical study of finite-time blow-up of the solution to the initial-boundary value problem for the nonlinear Klein–Gordon equation”, Comput. Math. Math. Phys., 60:9 (2020), 1452–1460
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