Blow-up Time Estimates of Parabolic Equations with General Coupled Nonlinearities

HU Cai-hua, LI Feng-jie, WANG Qian-xi

doi:10.13371/j.cnki.chin.q.j.m.2020.01.007

Chinese Quarterly Journal of Mathematics >

2020 , Vol. 35 >Issue 1: 77 - 92

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.01.007

Blow-up Time Estimates of Parabolic Equations with General Coupled Nonlinearities

Expand

College of Science, China University of Petroleum, Qingdao 266580

HU Cai-hua(1996-), female, native of Liaocheng，Shandong, a Master candidate of China University of Petroleum, engages in applied mathematics; LI Feng-jie(1974-), female, native of Zhaoyuan, Shan¬dong, an associate professor of China University of Petroleum, engages in nonlinear partial differential equations; WANG Qian-xi(2000-), female, native of Xuzhou, Jiangsu, a sophomore of China University of Petroleum, en¬gages in mathematics.

Received date: 2019-03-29

Online published: 2020-08-06

Supported by

Supported by Shandong Provincial Natural Science Foundation of China

Fold

Abstract

This paper deals with some parabolic equations, where the reaction and the boundary flux are taken of some general forms. We study the explicit blow-up time estimates according to the different coupled relationship, including the lower and upper bounds of blow-up time for every dimension of space domains. As examples, the results could be used to so many completely coupled models.

Key words： parabolic equations; general coupled nonlinearity; boundary flux; blow-up time estimates

Cite this article

HU Cai-hua, LI Feng-jie, WANG Qian-xi . Blow-up Time Estimates of Parabolic Equations with General Coupled Nonlinearities[J]. Chinese Quarterly Journal of Mathematics, 2020 , 35(1) : 77 -92 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.01.007

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article