具有一般非线性耦合项的抛物型方程组的爆破时间估计

胡彩华, 李锋杰, 王千喜

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

数学季刊 >

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

DOI: https://doi.org/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

展开

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.

收稿日期: 2019-03-29

网络出版日期: 2020-08-06

基金资助

Supported by Shandong Provincial Natural Science Foundation of China

收起

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

Expand

College of Science, China University of Petroleum, Qingdao 266580

Received date: 2019-03-29

Online published: 2020-08-06

Supported by

Supported by Shandong Provincial Natural Science Foundation of China

Fold

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

本文引用格式

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

Abstract

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

Options

文章导航

模态框（Modal）标题

摘要

本文引用格式

Abstract