Existence of weak solutions to a degenerate pseudo-parabolic equation modeling two-phase flow in porous media
Existence of weak solutions to a degenerate pseudo-parabolic equation modeling two-phase flow in porous media
复制标题
模拟多孔介质中两相流的简并伪抛物线方程弱解的存在性
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
I. Pop
中科院分区：
文献类型：
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作者：
C. Cancès;C. Choquet;Yuanzhong Fan;I. Pop
本文考虑了考虑两相压力差的动力学效应的退化拟抛物型方程。由于毛细诱导扩散函数的特殊形式，对于某些未知量的值，方程变得退化。为了克服退化性带来的困难，利用正则化方法证明了弱解的存在性。
In this paper, we consider a degenerate pseudo-parabolic equation modeling two-phase flow in porous media, where dynamic effects in the difference of the phase pressures are included. Because of the special form of the capillary induced diffusion function, the equation becomes degenerate for certain values of the unknown. To overcome the diffculties due to the degeneracy, a regularization method is employed for proving the existence of a weak solution.