This article is cited 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

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.

UDC: 517.957+519.6

Received: 23.04.2018
Revised: 20.06.2018

DOI: 10.4213/mzm12052

 English version: Mathematical Notes, 2019, 105:5, 694–706

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