Home Events Calendar Dynamics, Numerics and Control of Reaction-Diffusion Models arising in Social and Biological Sciences

Dynamics, Numerics and Control of Reaction-Diffusion Models arising in Social and Biological Sciences

Next May 29th our Head Enrique Zuazua (FAU-AvH, Alemania; Fundación Deusto, Bilbao; UAM, Madrid) will give a lecture at Shanghai Jiao Tong University via Zoom about:

Dynamics, Numerics and Control of Reaction-Diffusion Models arising in Social and Biological Sciences

Abstract. We analyze the dynamics, numerics and control of reaction-diffusion models arising in social and biological sciences. Frequently, in applications, their control plays an important role when avoiding population extinction or propagation of infectious diseases, enhancing 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 final configuration then becomes complex, and sometimes even impossible.

In the present work, we analyse the controllability to constant steady-states under constraints and provide both positive results in long time horizons and exhibit also some barrier effects that may arise when the domains where the dynamics evolves is too large. For this to be done we combine the stability properties of the systems and the connectivity of the set of steady states. We will also present some numerical experiments showing the complexity of the optimal controlled dynamics.

This lecture is inspired on joint works with I. Mazari, C. Pouchol, D. Ruiz-Ballet, E. Trélat and Y. Zhu.

Zoom link

https://zoom.us/j/95823212619
Meeting ID: 95823212619
Pin/password code: 556488

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Date

Time

8:00 am - 6:00 pm

Local Time

  • Timezone: America/New_York
  • Date: Thu 13th Aug 2020
  • Time: 6:00 pm - 6:00 pm

Labels

Lecture
Shanghai Jiao Tong U.

Speaker

  • Enrique Zuazua
    Enrique Zuazua
    Alexander von Humboldt Professorship | Head of the Chair of Computational Mathematics | Professor of Applied Mathematics

    Enrique Zuazua (Eibar, Basque Country – Spain, 1961) holds an Alexander von Humboldt Professorship at the Friedrich–Alexander University (FAU), Erlangen (Germany). He is also the Director of the Chair of Computational Mathematics at Deusto Foundation, Universidad de Deusto (Bilbao, Basque Country-Spain) where he leads the research team funded by the ERC Advanced Grant DyCoN project. He is also a Professor of Applied Mathematics since 2001 at the Department of Mathematics of the Autonomous University of Madrid where he holds a Strategic Chair.
    more about Enrique