Participate in the CIMPA-ICTP online course

The course will be given in English on zoom.

This is a recurrent meeting, so please register only once for all 4 sessions:

https://us02web.zoom.us/meeting/register/cT06xGWbTBe2We3gS_V_Dg

The course will take place on the following days (Paris time zone):

• Monday 22 June: 2pm – 4pm
• Tuesday 23 June: 2pm – 4pm
• Wednesday 24 June: 2pm – 4pm
• Thursday 25 June: 2pm – 4pm

Abstract: Dissipative dynamical systems in infinite dimensions provide a powerful mathematical framework for modeling and analyzing a wide variety of rather complex physical phenomena. These systems arise naturally in contexts where the time evolution of a system is described by partial differential equations (PDEs), which are often nonlinear. Unlike systems in finite dimensions, where the state of the system is described by a finite number of variables, systems in infinite dimensions require more sophisticated analytical tools to understand their long-term behavior.
Attractor theory plays a central role in the study of these systems. An attractor is an invariant set toward which the system evolves after a sufficiently long time, regardless of the initial conditions. These attractors can be simple (such as fixed points or limit cycles) or extremely complex (even in finite dimensions). Understanding their structure and properties is essential for predicting and characterizing the asymptotic behavior of the system under study. The first part of this course aims to introduce the fundamental concepts of dissipative dynamical systems in infinite dimensions, with an emphasis on attractor theory and its applications in physics. In the second part, students will be introduced to the mathematical tools necessary to address current research problems in mathematical physics and nonlinear analysis through the study of solutions to a Schrödinger-type equation. 

Please note that the CIMPA/ICTP courses will be recorded and broadcasted on our Youtube channel « CIMPA Math » and on carmin.tv.