Lunes 07 de Agosto 2023 a las 12:00 hrs.,Sala de Seminarios, 5th floor, Beauchef 851
Speaker: Ricardo Freire, Postdoc ANID en el DIM
Title: Energy decay for classes of nonlocal dispersive equations.
Abstract:
We consider the long-time dynamics of large solutions to a special class of evolution equations. Using virial techniques, we describe regions of space where every solution in a suitable Sobolev space must decay to zero along sequences of times.
Moreover, in the case of interior regions, we prove decay for a sequence of times. The classes of nonlocal dispersive equations which we will treat are as follows:
{∂t u + Lαu + u∂x u = 0, x, t ∈ R,u(x, 0) = u0(x),
where α > 0, and the operator Lα is the Fourier multiplier operator by a real-valued odd function belonging to (C 1(R) ∩ C ∞(R∗)).
These classes contain, in particular, the following equations: the fractional KdV, Benjamin-Ono and the Intermediate Long Wave, for example.
Venue: Online via Zoom
El link para acceder a la reunión de zoom es el siguiente:
https://reuna.zoom.us/j/87947528106?pwd=SkJaMGd6aVlDTzMyb1kvUk9talhJQT09