Abstract: Wave phenomena on water surfaces are one of our most familiar experiences. It can be observed at the beach, on the river, in the ocean, and also in our wash basin. Mathematics provides us tools to understand the wave motion in precise terms. I will explain some of the recent results mathematicians obtained regarding the behavior of the water wave motion, explain the basic tools used leading to these results, and present some open problems.
The first talk will be focused on the local existence results and the second on the long time behavior of the water waves.
Abstract: Wave phenomena on water surfaces are one of our most familiar experiences. It can be observed at the beach, on the river, in the ocean, and also in our wash basin. Mathematics provides us tools to understand the wave motion in precise terms. I will explain some of the recent results mathematicians obtained regarding the behavior of the water wave motion, explain the basic tools used leading to these results, and present some open problems.
The first talk will be focused on the local existence results and the second on the long time behavior of the water waves.