The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content



Asymptotics for the Camassa-Holm equation

Boutet de Monvel, A (Paris 7)
Wednesday 28 March 2007, 15:30-16:15

Seminar Room 1, Newton Institute


I will present recent results on asymptotic behaviors for the Ca-massa–Holm (CH) equation ut - utxx + 2?ux + 3uux = 2uxuxx + uuxxx on the line, ? being a nonnegative parameter.

Firstly, I will describe the long-time asymptotic behavior of the solution u? (x, t), ? > 0 of the initial-value problem with fast decaying initial data u0(x). It appears that u? (x, t) behaves differently in different sectors of the (x, t)-half-plane. Then I will analyse the behavior of u? (x, t) as ? 0.

The methods are inverse scattering in a matrix Riemann-Hilbert approach and Deift and Zhou’s nonlinear steepest descent method.

Work in collaboration with Dmitry Shepelsky.




The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧