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Factorization problem on the Hilbert-Schmidt group and the Camassa-Holm equation
May 5th, 2007 at 15:15 in HG G43
Given by: Luen-Chau Li (Penn State)
Abstract: The Camassa-Holm equation is a model of long waves
in
shallow water. In contrast
to the Korteweg-de Vries equation,
the Camassa-Holm equation admits
breaking solutions.
However,
a relatively large class of initial data which give rise to
global
solutions has also
been identified by Camassa and independently
by Constantin. In this
talk, we will discuss a
method to integrate
both the Lagrangian version and the Eulerian
version of the
Camassa-Holm
equation for this class of initial data by using a
factorization
problem on the Hilbert-Schmidt group.
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