科研之友
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摘要
We analyze the steady fluid flow in a porous medium containing a network of thin fissures of width O (epsilon), generated by the rigid translation of continuous piecewise C-1 functions in a fixed direction. The phenomenon is modeled in mixed variational formulation, using the stationary Darcy's law and coefficients of low resistance O (epsilon) on the network. The singularities are removed by asymptotic analysis as epsilon -> 0 which yields an analogous system hosting only tangential flow in the fissures. Finally the fissures are collapsed into two dimensional manifolds.
- 出版日期2014-9-11
