Seminar series
Date
Mon, 19 Jan 2004
15:45
15:45
Location
DH 3rd floor SR
Speaker
Stella Brassesco
Organisation
Warwick
We consider the Cahn Hilliard Equation in the line, perturbed by
the space derivative of a space--time white noise. We study the
solution of the equation when the initial condition is the
interface, in the limit as the intensity of the noise goes to zero
and the time goes to infinity conveniently, and show that in a scale
that is still infinitesimal, the solution remains close to the
interface, and the fluctuations are described by a non Markovian
self similar Gaussian process whose covariance is computed.