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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.
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).