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

Nitithorn Sukwong; Panumart Sawangtong; Sanoe Koonprasert; Wannika Sawangtong

doi:10.1186/s13662-019-2219-9

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

Nitithorn Sukwong
, Panumart Sawangtong
, Sanoe Koonprasert
, Wannika Sawangtong

King Mongkut's University of Technology North Bangkok
CHE
Mahidol University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Article number	264
Journal	Advances in Difference Equations
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1186/s13662-019-2219-9
Publication status	Published - 1 Dec 2019
Externally published	Yes

Keywords

Blow-up set
Degenerate and singular parabolic equations
Nonlocal source
Uniform blow-up profile

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10.1186/s13662-019-2219-9

Cite this

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abstract = "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.",

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AU - Sawangtong, Wannika

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AB - 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.

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KW - Degenerate and singular parabolic equations

KW - Nonlocal source

KW - Uniform blow-up profile

UR - https://www.scopus.com/pages/publications/85068750284

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

Abstract

Keywords

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