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SUMMARY:Control of reaction-diffusion models arising in Social and Bio
 logical Sciences
UID:586dc49c-6df2-40d5-a3d2-c08c4ad4980c
DESCRIPTION:Control of reaction-diffusion models arising in Social and
  Biological Sciences Speaker: Enrique Zuazua (FAU-AvH\, Alemania\; Fun
 dación Deusto\, Bilbao\; UAM\, Madrid) We analyse the control of reac
 tion-diffusion models arising in social and biological sciences. Frequ
 ently in applications\, their control plays an important role when avo
 iding population extinction or propagation of infectious diseases\, en
 hancing multicultural features\, etc. When addressing these issues one
  of the main challenges is that the solution\, typically a proportion 
 or a density function\, needs to preserve given lower and upper bounds
  (taking values in [0\; 1])). Controlling the system to the desired fi
 nal configuration then becomes complex\, and sometimes even impossible
 . In the present work\, we analyse the controllability to constant ste
 ady-states under constraints and provide both positive results in ling
  time horizons and exhibit also some barrier effects that may arise wh
 en the domains where the dynamics evolve is too large. This lecture is
  inspired on joint works with C. Pouchol\, D. Ruiz-Ballet and E. Trél
 at. http://amercado.mat.utfsm.cl/SeminarioLatAm-Esp_ControlyPI/ Applie
 d Analysis
DTSTART:20200420T150000Z
DTEND:20200420T160000Z
DTSTAMP:20260725T063542Z
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