具有吸收项和边界流的非牛顿渗流方程组整体存在解的临界超曲面问题（英文）  

Critical Hypersurface to Non-Newtonian Filtration Equations with Absorption and Boundary Fluxes

作　　者：李锋杰 张晓红 张长城 

机构地区：[1]中国石油大学(华东)理学院基础数学系,山东青岛266580

出　　处：《应用数学》2015年第4期917-924,共8页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11201483);the Fundamental Research Funds for the Central Universities

摘　　要：在本文中,我们研究一类具有吸收项和耦合边界流的非牛顿渗流方程组问题.通过应用比较原理和构造自相似形式的上、下解,得到整体存在解的临界超曲面以及Fujita爆破指标结果.这些结果完善了发表在"Differential Integral Equations,2014,27:643―658"中的临界爆破Fujita吸收指标问题.This paper deals with non-Newtonian filtration equations with inner absorption, coupled via nonlinear boundary flux. The critical global existence hypersurface and the critical Fujita values separating the region where all nontrivial solutions blow up from the one where there are both blow-up and global solutions are obtained by using self-similar super-solutions and subsolutions, which complete the so called critical Fujita absorption exponent of the published paper （Differential Integral Equations,2014, 27： 643-658）.

关 键 词：非牛顿渗流方程组 吸收项 临界整体存在超曲面 

分 类 号：O175.2[理学—数学]