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Applicable Analysis
An International Journal
Volume 103, 2024 - Issue 10
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Research Article

Blow-up of solutions to a scalar conservation law with nonlocal source arising in radiative gas

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Pages 1751-1756 | Received 08 Feb 2023, Accepted 06 Jul 2023, Published online: 27 Sep 2023
 

Abstract

In this paper we consider a scalar conservation law with nonlocal source arising in radiative gas. We give a sufficient condition to assure that the solution blows up in a finite time. Moreover, the estimates of life span and blow-up rate are derived.

Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability

No data was used for the research described in the article.

Additional information

Funding

This work is supported by Yunnan Fundamental Research Projects (Grant NO. 202101BE070001-050).

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