The Conditions For Blow-Up And Global Existence Of Solutions For A Degenerate And Singular Parabolic Equation With A Non-Local Source

N. Sukwong; W. Sawangtong; P. Sawangtong

doi:10.4418/2021.76.1.2

The Conditions For Blow-Up And Global Existence Of Solutions For A Degenerate And Singular Parabolic Equation With A Non-Local Source

N. Sukwong
, W. Sawangtong
, P. Sawangtong

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

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

Abstract

In this paper, we consider the degenerate and singular porous medium equation with a non-local source: (Formula Presented) The conditions on the local and global existence of solutions are investigated. In the case of blow-up, the blow-up set is shown. Moreover the uniform blow-up profile of the blow-up solution is given.

Original language	English
Pages (from-to)	19-36
Number of pages	18
Journal	Matematiche
Volume	76
Issue number	1
DOIs	https://doi.org/10.4418/2021.76.1.2
Publication status	Published - 2021
Externally published	Yes

Keywords

Degenerate and singular parabolic equation
blow-up set
non-local source term
uniform blow-up profile

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10.4418/2021.76.1.2

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abstract = "In this paper, we consider the degenerate and singular porous medium equation with a non-local source: (Formula Presented) The conditions on the local and global existence of solutions are investigated. In the case of blow-up, the blow-up set is shown. Moreover the uniform blow-up profile of the blow-up solution is given.",

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AB - In this paper, we consider the degenerate and singular porous medium equation with a non-local source: (Formula Presented) The conditions on the local and global existence of solutions are investigated. In the case of blow-up, the blow-up set is shown. Moreover the uniform blow-up profile of the blow-up solution is given.

KW - Degenerate and singular parabolic equation

KW - blow-up set

KW - non-local source term

KW - uniform blow-up profile

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The Conditions For Blow-Up And Global Existence Of Solutions For A Degenerate And Singular Parabolic Equation With A Non-Local Source

Abstract

Keywords

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