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SUMMARY:Plastic limit of a viscoplastic Burgers equation - Marita Thomas (
 Freie Universität Berlin)
DTSTART:20251127T150000Z
DTEND:20251127T160000Z
UID:TALK239275@talks.cam.ac.uk
CONTACT:Georg Maierhofer
DESCRIPTION:We study the Burgers equation featuring an additional term gov
 erned by a positively 1-homogeneous potential. This problem is motivated b
 y the so-called Hibler's sea ice model. It treats sea ice as a non-Newtoni
 an fluid\, where the stress tensor includes such a term in order to accoun
 t for the plastic response of the ice.\nFor this simplified one-dimensiona
 l model we introduce a suitable notion of solution in the framework of BV-
 solutions. Starting in the regularized setting of a viscoplastic Burgers e
 quation\, we study the existence of such generalized solutions. We investi
 gate the passage to the plastic limit and further discuss the properties o
 f the solutions.\nThis is joint work with  Xin Liu (Texas A&M University) 
 and Edriss Titi (Cambridge)\, supported by the DFG within project C09 of C
 RC 1114.\n
LOCATION:Centre for Mathematical Sciences\, MR14
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