Abstract: This talk will be a survey of results pertaining to the long-term dynamics of evolution partial differential equations. The emphasis lies on basic notions and results from dynamical systems, such as invariant manifolds and omega limit set. While these notions are directly applicable to dissipative PDEs, Hamiltonian PDEs do not fall under the scope of classical convergence theorems. Nevertheless, recent results on the soliton resolution problem for wave maps draw on ideas from dynamical systems in the form of one-pass type theorems. We will discuss some of these developments.
Asymptotic stability and soliton resolution for evolution PDEs
28.04.2022 16:00 - 17:30
Organiser:
R.I. Bot, R. Donninger
Location:
Sky Lounge