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SUMMARY:Characteristic Boundary Layers for Mixed Hyperbolic-Parabolic Syst
 ems in One Space Dimension
DTSTART:20190315T141500
DTEND:20190315T150000
DTSTAMP:20260505T053043Z
UID:076d3043e0e2dcd7d657c73e1d5694fc5433b023d911dcaaaf308543
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Laura SPINOLO (IMATI-CNR\, Pavia. Italy)\nAbstract:\nI w
 ill discuss the viscous approximation of systems of conservation laws in o
 ne space dimension defined on a domain with boundary. In most cases the ph
 ysically relevant viscous approximation is given by a family of mixed hype
 rbolic-parabolic systems: this is for instance the case\n of the compress
 ible Navier-Stokes equations and of the viscous MHD equations\, which in t
 he inviscid limit formally boil down  to the Euler and the inviscid MHD e
 quations\, respectively. Boundary layers are steady solutions of the mixed
  hyperbolic-parabolic system and provide relevant information on the trans
 ient behavior from the viscous approximation to the inviscid limit. I will
  discuss recent results concerning the boundary layers analysis in small t
 otal variation regimes. In particular\, I will consider the so called doub
 ly characteristic case\, which is considerably more demanding from the tec
 hnical viewpoint and occurs when the boundary is characteristic for both t
 he mixed hyperbolic-parabolic system and for the limit conservation law. T
 he analysis applies in particular to the compressible Navier-Stokes and MH
 D equations in Eulerian coordinates\, with both positive and null conducti
 vity. In these cases\, the doubly characteristic case occurs when the flui
 d velocity is close to 0. The talk will be based on joint works with Stefa
 no Bianchini.
LOCATION:MA B1 11 https://plan.epfl.ch/?room=MAB111
STATUS:CONFIRMED
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