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UID:885@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20151008T160000
DTEND;TZID=Europe/Paris:20151008T170000
DTSTAMP:20150923T140000Z
URL:https://www.i2m.univ-amu.fr/evenements/scalar-conservation-laws-with-d
 iscontinuous-flux/
SUMMARY: (...): Scalar conservation laws with discontinuous flux
DESCRIPTION:: In order to obtain uniqueness for solutions of scalar conserv
 ation laws with discontinuous flux\, Kruzkov's entropy conditions are not 
 enough and additional dissipation conditions have to be imposed on the dis
 continuity set of the flux. Understanding these conditions requires to stu
 dy the structure of solutions on the discontinuity set. I will show that u
 nder quite general assumptions on the flux\, solutions admit traces on the
  discontinuity set of the flux. This allows to show that any pair of solut
 ions satisfies a Kato type inequality with an explicit remainder term conc
 entrated on the discontinuities of the flux. Applications to uniqueness is
  then discussed.[http://cvgmt.sns.it/person/22/]
CATEGORIES:Groupe de travail,Calcul des Variations & EDP
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DTSTART:20150329T030000
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