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SUMMARY:Non-Newtonian fluids: applications of Orlicz spaces in the theory 
 of nonlinear PDE  - Aneta Wroblewska
DTSTART:20170612T150000Z
DTEND:20170612T160000Z
UID:TALK72712@talks.cam.ac.uk
CONTACT:Mikaela Iacobelli
DESCRIPTION:We are interested in the existence of solutions to strongly no
 nlinear partial differential equations. We concentrate mainly on problems 
 which come from dynamics of non-Newtonian fluids of a nonstandard rheology
 \, more general then of power-law type\, and also on some abstract theory 
 of elliptic and parabolic equations. In considered problems the nonlinear 
 highest order term (stress tensor) is monotone and its behaviour – coerc
 ivity/growth condition – is given with help of some general convex funct
 ion. In our research we would like to cover both cases: sub- and super-lin
 ear growth of nonlinearity (shear thickening and shear tinning fluids) as 
 well its anisotropic and non-homogenous behaviour. Such a formulation requ
 ires a general framework for the function space setting\, therefore we wor
 k with non-reflexive and non-separable anisotropic Orlicz and Musielak-Orl
 icz spaces. Within the presentation we would like to emphasise problems we
  have met during our studies\, their reasons and methods which allow us to
  achieve existence results. \n
LOCATION:CMS\, MR13
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