吉林大学学报(理学版)2016,Vol.54Issue(2):183-188,6.DOI:10.13413/j.cnki.jdxblxb.2016.02.06
具奇异系数的耦合反应-对流-扩散方程组的临界 Fujita 曲线
Critical Fujita Curves for a Coupled Reaction-Convection-Diffusion System with Singular Coefficients
摘要
Abstract
Using the comparison of energy and constructing selfsimilar supersolutions,the author studied the homogeneous Neumann exterior problem of a coupled reaction-convection-diffusion system with singular coefficients.The critical Fujita curve,which described whether solutions exist globally or not,was determined and the blowing up theorem of Fujita type was established.This critical Fujita curve depends on the spacial dimension,convection and reaction terms of the system.关键词
反应-对流-扩散方程组/奇异性/临界 Fujita曲线Key words
reaction-convection-diffusion system/singularity/critical Fujita curve分类
数理科学引用本文复制引用
郭微,雷鸣..具奇异系数的耦合反应-对流-扩散方程组的临界 Fujita 曲线[J].吉林大学学报(理学版),2016,54(2):183-188,6.基金项目
国家自然科学基金数学天元基金(批准号:10926169)和吉林省教育厅科学技术研究项目(批准号:2015133) (批准号:10926169)