Journal of East China Normal University(Natural Science) >

2022 , Vol. 2022 >Issue 6: 17 - 29

DOI: https://doi.org/10.3969/j.issn.1000-5641.2022.06.003

Mathematics

Blow-up investigation of solutions to a class of nonlocal porous medium systems with space-dependent coefficients and inner absorption terms

  • Baiping OUYANG
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  • School of Data Science, Guangzhou Huashang College, Guangzhou　511300, China

Received date: 2021-02-01

  Online published: 2022-11-22

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Abstract

In this paper, we explore the blow-up of solutions to a class of nonlocal porous medium systems with space-dependent coefficients and inner absorption terms under nonlinear boundary conditions in ${\mathbb{R}}^{n}\left(n \geqslant 3\right)$ . By constructing an energy expression and using the differential inequality technique, we obtain sufficient conditions for the global existence of solutions to the problem. Then, upper bound and lower bound estimates of the blow-up time are derived by means of the Sobolev inequalities and other differential methods when blow-up occurs.

Key words： blow-up; porous medium system; space-dependent coefficient; inner absorption term

Cite this article

Baiping OUYANG . Blow-up investigation of solutions to a class of nonlocal porous medium systems with space-dependent coefficients and inner absorption terms[J]. Journal of East China Normal University(Natural Science), 2022 , 2022(6) : 17 -29 . DOI: 10.3969/j.issn.1000-5641.2022.06.003

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