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SUMMARY:On a nonlinear parabolic problem arising in the quantum diffusive 
 description of a degenerate fermion gas - Francesco Salvarani (Paris Dauph
 ine and University of Pavia)
DTSTART:20160425T140000Z
DTEND:20160425T150000Z
UID:TALK65963@talks.cam.ac.uk
CONTACT:Harsha Hutridurga
DESCRIPTION:In this talk we consider\, both theoretically and numerically\
 , a nonlinear\ndrift-diffusion equation describing a gas of fermions in th
 e\nzero-temperature limit. The equation is defined in a bounded domain who
 se\nboundary is divided into an "insulating" part\, where homogeneous Neum
 ann\nconditions are imposed\, and a "contact" part\, where nonhomogeneous\
 nDirichlet data are assigned. The existence of stationary solutions for a\
 nsuitable class of Dirichlet data is proven by assuming a simple domain\nc
 onfiguration. The long-time behavior of the time-dependent solution\, for\
 nmore complex domain configurations\, is investigated by means of numerica
 l\nexperiments.\n
LOCATION:CMS\, MR13
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