A Lyapunov functional for the evolution of solutions to the porous medium equation to self‐similarity. I
A Lyapunov functional for the evolution of solutions to the porous medium equation to self‐similarity. I
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用于将多孔介质方程的解演化为自相似性 I 的李亚普诺夫函数。
DOI：
10.1063/1.526028
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发表时间：
1984
影响因子：
1.3
通讯作者：
W. I. Newman
中科院分区：
文献类型：
--
作者：
W. I. Newman
我们利用m维多孔介质方程的变换性质和积分不变量来构造一个李雅普诺夫泛函，该泛函表征了轮廓向其自相似解的演化。
We employ the transformation properties and the integral invariants of the porous medium equation in m dimensions to construct a Lyapunov functional which characterizes the evolution of the profile to its self‐similar solution.