Blow-up for a degenerate and singular parabolic equation with a nonlocal source

This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given. In the case that blow-up occurs, the blow-up set for the problem is investigated. Finally, the asymptotic behaviour of th...

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Bibliographic Details
Published in:Advances in difference equations 2019-07, Vol.2019 (1), p.1-15, Article 264
Main Authors: Sukwong, Nitithorn, Sawangtong, Panumart, Koonprasert, Sanoe, Sawangtong, Wannika
Format: Article
Language:English
Subjects:
Analysis
Asymptotic properties
Blow-up set
Degenerate and singular parabolic equations
Difference and Functional Equations
Functional Analysis
Mathematics
Mathematics and Statistics
Nonlocal source
Ordinary Differential Equations
Partial Differential Equations
Proceedings of the International Conference in Mathematics and Applications
Uniform blow-up profile
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Summary:This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given. In the case that blow-up occurs, the blow-up set for the problem is investigated. Finally, the asymptotic behaviour of the solution when time converges to the blow-up time is studied.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2219-9