摘要
研究一维非线性粘性扩散方程初边值问题解的大时间行为,关注粘性项及方程系数对解的衰减速率的影响。结果表明:初始值适当光滑时,解以指数速率趋近于零。
The paper mainly studies the long time behavior for a one -dimensional viscous diffusion equation with the initial - boundary value problem. We concern the influence of viscous term and coefficients to decay rate. The results show that the solution tends to zero ff the initial value is smooth enough.
出处
《荆楚理工学院学报》
2009年第5期49-51,共3页
Journal of Jingchu University of Technology
关键词
非线性扩散
多孔介质
初边值
衰减
nonlinear diffusion
porous media
initial - boundary value
decay
