2013 ◽  
Vol 52 ◽  
pp. 46-54 ◽  
Author(s):  
Abdolreza Kharaghani ◽  
Christoph Kirsch ◽  
Thomas Metzger ◽  
Evangelos Tsotsas

2005 ◽  
Vol 22 (3) ◽  
pp. 347-355 ◽  
Author(s):  
Julie A. Straub ◽  
Donald E. Chickering ◽  
Jonathan C. Lovely ◽  
Huimin Zhang ◽  
Bhavdeep Shah ◽  
...  

Author(s):  
M. Rigdahl ◽  
L. Lason ◽  
R. Hagen ◽  
O. Karlsson ◽  
B. Wessl�n
Keyword(s):  

2019 ◽  
Vol 181 ◽  
pp. 135-142 ◽  
Author(s):  
Xuechao Liu ◽  
Haibo Huang ◽  
Xi-Yun Lu

2008 ◽  
Vol 18 (12) ◽  
pp. 2055-2085 ◽  
Author(s):  
MIRELA KOHR ◽  
G. P. RAJA SEKHAR ◽  
WOLFGANG L. WENDLAND

The purpose of this paper is to prove the existence and uniqueness of the solution in Sobolev or Hölder spaces for a cell model problem which describes the Stokes flow of a viscous incompressible fluid in a bounded region past a porous particle. The flow within the porous particle is described by the Brinkman equation. In order to obtain the desired existence and uniqueness result, we use an indirect boundary integral formulation and potential theory for both Brinkman and Stokes equations. Some special cases, which refer to the cell model for a porous particle with large permeability, or to the exterior Stokes flow past a porous particle, are also presented.


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