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UID:news441@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20181219T170545
DTSTART;TZID=Europe/Zurich:20160420T141500
SUMMARY:Seminar Analysis: Francesco Ghiraldin (MPI Leipzig)
DESCRIPTION:In order to obtain uniqueness for solutions of scalar conservat
 ion laws with discontinuous flux\, Kruzhkov’s entropy conditions are not
  enough and additional dissipation conditions have to be imposed on the di
 scontinuity set of the flux. Understanding these conditions requires to st
 udy the structure of solutions on the discontinuity set. I will show that 
 under quite general assumptions on the flux\, solutions admit traces on th
 e discontinuity set of the flux. This allows to show that any pair of solu
 tions satises a Kato type inequality with an explicit reminder term concen
 trated on the discontinuities of the flux. Applications to uniqueness is t
 hen discussed. 
X-ALT-DESC:\nIn order to obtain uniqueness for solutions of scalar conserva
 tion laws with discontinuous flux\, Kruzhkov’s entropy conditions are no
 t enough and additional dissipation conditions have to be imposed on the d
 iscontinuity set of the flux. Understanding these conditions requires to s
 tudy the structure of solutions on the discontinuity set. I will show that
  under quite general assumptions on the flux\, solutions admit traces on t
 he discontinuity set of the flux. This allows to show that any pair of sol
 utions satises a Kato type inequality with an explicit reminder term conce
 ntrated on the discontinuities of the flux. Applications to uniqueness is 
 then discussed.&nbsp\;
DTEND;TZID=Europe/Zurich:20160420T151500
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