BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Analysis of the effects of geometry and cross-diffusion in pattern
  formation - Gulsemay YIGIT (Bahcesehir University)
DTSTART:20231207T140000Z
DTEND:20231207T150000Z
UID:TALK209329@talks.cam.ac.uk
DESCRIPTION:Co-Authors:&nbsp\;\nWakil Sarfaraz\, Raquel Barreira\, Anotida
  Madzvamuse\nIn this talk\, we present analysis of reaction-diffusion syst
 ems to understand the role of geometry and linear cross-diffusion. By deri
 ving conditions on the domain length for rectangular\, circular and annula
 r geometries\, we generate parameter spaces associated with Turing difusio
 n-driven instability\, Hopf and trascritical instabilities. Furthermore\, 
 by selecting model parameters from the parameter spaces generated under ap
 propriate geometry and linear cross-diffusion\, we are able to demonstrate
  that linear cross-diffusion coupled with appropriate geometry is able to 
 generate patterns which cannot be obtained through the classical long-rang
 e inhibition\, and short-range activation mechanism for pattern formation.
  To support theoretical findings\, finite element numerical simulations on
  rectangular\, circular and annular geometries are presented.&nbsp\;\n&nbs
 p\;\n&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
END:VEVENT
END:VCALENDAR