BEGIN:VCALENDAR
METHOD:PUBLISH
PRODID:www-math-fau-de//Events//DE
VERSION:2.0
BEGIN:VEVENT
SUMMARY:Partial Hölder Regularity for a Class of Cross-Diffusion Syst
 ems with Entropy Structure (Raithel\, Wien)
UID:42fcf87b-fc30-4d74-b601-acdec913a4db
DESCRIPTION:Partial Hölder Regularity for a Class of Cross-Diffusion 
 Systems with Entropy Structure Speaker: Dr. Claudia Raithel Affiliatio
 n: Vienna University of Technology\, Austria Abstract: We obtain parti
 al $C^{0\,alpha}$-regularity for bounded solutions of a certain class 
 of cross-diffusion systems\, which are strongly coupled\, degenerate q
 uasilinear parabolic systems. Under slightly more restrictive assumpti
 ons\, we obtain partial $C^{1\,alpha}$-regularity. The cross-diffusion
  systems that we consider have a formal gradient flow structure\, in t
 he sense that they are formally identical to the gradient flow of a co
 nvex entropy functional. The main novel tool that we use is a &#8222\;
 glued entropy density\,&#8220\; which allows us to emulate the classic
 al theory of partial H{o}lder regularity for nonlinear parabolic syste
 ms. To demonstrate the applicability of our results and motivate our t
 echniques\, we consider the two component Shigesada-Kawasaki-Teramoto 
 (SKT) model for population dynamics. This talk is based on a joint wor
 k with Marcel Braukhoff and Nicola Zamponi. Applied Analysis
DTSTART:20200708T083000Z
DTEND:20200708T093000Z
LOCATION:Online (contact marius.yamakou@fau to get the data for the VC)
DTSTAMP:20260723T231451Z
END:VEVENT
END:VCALENDAR