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中文摘要：
研究了一类带有吸收项的多孔介质方程。借助于分离变量方法获得了两个具有吸收项的多孔介质方程的一些显式精确解析解，这些解既有整体光滑解，也包括在有限时间内爆破的局部解。进一步考察了所得解的渐近性态和爆破解的爆破时间跨度的上界。
英文摘要：
The present paper deals with a porous media equation with absorption .Some explicit exact analytic solutions of a porous media equation with absorption are obtained by using the method of separation of variables . These solutions include the global smooth solutions as well as the local solutions that blow -up in finite time .Furthermore , the asymptotic behavior of the global solutions and the upper bound of life span of blowup solution are also investigated .
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