| J. Douglas, Jr., M. Peszynska, and R. E. Showalter. Single phase ow in partially ssured media. To appear in Transport in Porous Media. |
....of the (N 1) Scale Problem We now prove that the (N 1) scale problem is well posed in a speci able Hilbert space. We will apply the following standard result [18] it has been used previously to prove the well posedness of a model of single phase uid ow in partially ssured media [11], as well as in the analysis of many other problems in partial di erential equations) Theorem 5.1 Assume that V and H are Hilbert spaces with V dense and continuously imbedded in H. Let a( be a continuous bilinear form de ned on V such that the form b( a( H ; where ....
J. Douglas, Jr., M. Peszynska, and R. E. Showalter. Single phase ow in partially ssured media. To appear in Transport in Porous Media.
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