数学杂志2017，Vol.37Issue(1)：129-137,9.
具有非线性范数型源的反应扩散方程组解的爆破性质
BLOW-UP PROPERTIES FOR A REACTION-DIFFUSION SYSTEM WITH NONLINEAR NORM-TYPE SOURCES
摘要
Abstract
In this paper, we study the blow-up problems for a class of reaction-diffusion system with nonlinear norm-type sources: ut = ∆um+a kup1 vq1 kr1α , vt = ∆vn+b kvp2 wq2 kr2β , wt = ∆wh +c kwp3uq3kr3γ subject to homogeneous Dirichlet conditions. By using upper-lower solution method and constructing auxiliary functions’techniques, we obtain the criteria for global existence or finite time blow-up, which extend some results of the current research to more complex situations.关键词
反应扩散方程组/范数型源/整体存在/爆破Key words
reaction-diffusion system/norm-type sources/global existence/blow up分类
数理科学引用本文复制引用
钟光胜,田立新..具有非线性范数型源的反应扩散方程组解的爆破性质[J].数学杂志,2017,37(1):129-137,9.基金项目
国家自然科学基金资助(11171135 （）
51276081) （）
江苏省自然科学基金资助(14KJA110001) （14KJA110001）
