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SUMMARY:Poro-Inelastic Filtration coupled to Stokes Flow - Ralph  Showalte
 r (Oregon State University)
DTSTART:20160609T151500Z
DTEND:20160609T160000Z
UID:TALK66410@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Models of flow of fluid through saturated inelastic porous med
 ia are  described. The initial-boundary-value problem consists of a nonlin
 ear diffusion  equation for the fluid coupled to the momentum equation for
  the porous solid  together with a constitutive law which includes a possi
 bly hysteretic relation  of elasto-visco-plastic type. Existence and uniqu
 eness of a global strong  solution follows from monotonicity methods. Vari
 ous degenerate situations are  permitted\, such as incompressible fluid\, 
 negligible porosity\, or a quasi-static  momentum equation. The essential 
 sufficient conditions for the well-posedness of  the system consist of an 
 ellipticity condition on the term for diffusion of  fluid and either a vis
 cous or a hardening assumption in the constitutive  relation for the porou
 s solid. <br> <br>Related Links <ul> <li><a target="_blank" rel="nofollow"
 >http://www.math.oregonstate.edu/people/view/show</a>  - homepage of R Sho
 walter&nbsp\;</li></ul>
LOCATION:Seminar Room 1\, Newton Institute
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