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    STUDIA MATHEMATICA - Issue no. 1 / 2011  
         
  Article:   BOUNDARY INTEGRAL EQUATIONS FOR THE PROBLEM OF 2D BRINKMAN FLOW PAST SEVERAL VOIDS.

Authors:  .
 
       
         
  Abstract:  

In this paper we obtain the existence and uniqueness result for the classical solution of the boundary value problem which describes the 2D flow of an incompressible Newtonian fluid in a porous medium and in the presence of N ┬│ 2 voids.

Mathematics Subject Classification (2010): 76D07, 76D03, 31A10.

Keywords: Brinkman flow, potential theory, boundary integral representation, existence and uniqueness result.

 
         
     
         
         
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