具有一般非线性耦合项的抛物型方程组的爆破时间估计

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

数学季刊 ›› 2020, Vol. 35 ›› Issue (1): 77-92.doi: 10.13371/j.cnki.chin.q.j.m.2020.01.007

具有一般非线性耦合项的抛物型方程组的爆破时间估计

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

College of Science, China University of Petroleum, Qingdao 266580

收稿日期:2019-03-29 出版日期:2020-03-30 发布日期:2020-08-06
作者简介: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.
基金资助:
Supported by Shandong Provincial Natural Science Foundation of China

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

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

College of Science, China University of Petroleum, Qingdao 266580

Received:2019-03-29 Online:2020-03-30 Published:2020-08-06
About author: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.
Supported by:
Supported by Shandong Provincial Natural Science Foundation of China

摘要/Abstract

摘要： 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.

关键词: parabolic equations, general coupled nonlinearity, boundary flux, blow-up time estimates

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

中图分类号:

O175.26

胡彩华, 李锋杰, 王千喜. 具有一般非线性耦合项的抛物型方程组的爆破时间估计 [J]. 数学季刊, 2020, 35(1): 77-92.

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.

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具有一般非线性耦合项的抛物型方程组的爆破时间估计

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

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