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UID:termin-28740@partyfrank.de
DTSTAMP:20261103T202105Z
DTSTART;TZID=Europe/Berlin:20261112T133000
SUMMARY:Existence of global solutions for some hyperbolic systems via nov
 el regularizations
LOCATION:S4|10 - Raum 314\, Dolivostr. 15\, 64293 Darmstadt
DESCRIPTION:PartyDa ist ein Veranstaltungskalender und nicht Veranstalter
  der aufgeführten Events.\nWe discuss the global existence of weak (ent
 ropy) solutions for two distinct classes of hyper-bolic systems by const
 ructing novel viscous regularizations.In the first part of the talk\, we
  focus on a class of 2 × 2 Keyfitz-Kranzer systems arising in thinfilm 
 flows. Because the standard diagonal viscous approximation fails to yiel
 d the appropriatemathematical structure\, we instead construct a novel v
 iscous regularization inspired by lubrica-tion equations. This approach 
 provides the critical compactness estimates necessary to establishthe ex
 istence of weak entropy solutions via the vanishing diffusion limit [1].
 In the second part of the talk\, we generalize these results to n×n sys
 tems of a broader Keyfitz-Kranzer class covering several important physi
 cal models. We introduce a new artificial viscousregularization aligned 
 with the nonlinear field\, which yields a parabolic equation for the Rie
 manninvariant associated with the nonlinear field\, coupled with transpo
 rt equations for the remainingRiemann invariants. This structure drives 
 the compactness argument and yields global existenceof weak solutions fo
 r the inviscid system [2].References[1] R. Barthwal\, P. ¨Offner\, and 
 C. Rohde. Global existence for a class of Keyfitz–Kranzersystems. Acce
 pted for publication at Journal of Hyperbolic Differential Equations\, 2
 026.[2] R. Barthwal and L. Sahu. Well-posedness for a class of n × n hy
 perbolic systems and shockstability for the viscous approximation. arXiv
  preprint arXiv:2609.13989\, 2026\nPreis: Preis unbekannt\nhttps://party
 da.de/events/28740/existence-of-global-solutions-for-some-hyperbolic-sys
 tems-via-novel-regularizations
CATEGORIES:Weitere Events
URL:https://partyda.de/events/28740/existence-of-global-solutions-for-som
 e-hyperbolic-systems-via-novel-regularizations
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