一类积微分方程组解界面的产生  

Generation of Interfaces in a Class of Integrodifferential Equations

作　　者：杨成荣[1] 

机构地区：[1]吉林大学数学研究所,长春130012

出　　处：《吉林大学自然科学学报》2001年第4期1-7,共7页Acta Scientiarum Naturalium Universitatis Jilinensis

摘　　要：研究含小参数 ε的积微分方程组εuεt-Jε* uε+uε=f ( uε,vε) =F( uε) -vε,vεt-DΔvε =uε -γvε界面的产生 。This paper is concerned with the emergence of transition layers in the following integrodifferential equations:εu ε t-J ε*u ε+u ε=f(u ε,v ε)=F(u ε)-v ε, v ε t-DΔv ε=u ε-γv ε,where D>0,γ>0 are constants; 0<ε1 is a small parameter; F′(u)=0 has just two roots a -<a +, with F(a -)<0<F(a +); and J ε is a convolution operator with the kernel J ε(x)=ε -1J(x/ε) satisfying some conditions. A precise estimate on the width of the transition layer and the length of time for the layer generation have been established.

关 键 词：积微分方程组 分界面 卷积算子 界面产生 小参数 

分 类 号：O175.6[理学—数学]