Jonatan Lenells

Nonlinear integrable partial differential equations

I will give a brief overview of the area of nonlinear integrable partial differential equations. After highlighting some key historical events, I will discuss mathematical tools developed over the past half century for the solution of such equations. In particular, I will describe how these tools can be used to obtain remarkably precise asymptotic formulas. The theory will be illustrated with the help of two celebrated equations for water waves: the Korteweg–de Vries equation and the Boussinesq equation. Some recent trends and connections to other areas of mathematics will also be mentioned.

Talk recording: https://mediasite.bris.ac.uk/Mediasite/Play/d82f724a16aa4e5a9c5c646abce771ff1d