Asymptotic Stability of Coherent Structures in Dissipative Systems

Antonio Capella (National Autonomous University of Mexico/Universität Heidelberg) #

03-05 June 2024: Asymptotic Stability of Coherent Structures in Dissipative Systems

Waves, patterns, and other structures play a crucial role in applied mathematics. The study of their dynamic stability under perturbations is an important issue in our understanding of these structures. This theory lies at the interface between dynamical systems and functional analysis. The aim of these lectures is to present a general overview of the methods in this theory, some of its key aspects and its application to the question of stability of waves in dissipative systems.

This course aims at PhD students with a basic background of (functional) analysis, theory of partial differential equations in Hilbert spaces and dynamical systems (analysis of ODE).

To register click here