Back to Departmental Colloquium: Fall 2010
Departmental Colloquium
Date: Thursday, Dec 2, 2010
Time: 4:15PM
Location: JWB 335
Davar Khoshnevisan
University of Utah
Title |
The stochastic heat equation: Chaos before the onset of intermittency |
Abstract |
We consider a nonlinear stochastic heat equation with multiplicative space-time white noise. It is now known that in many cases the solution has intermittent behavior at large times. Here we establish a number of fixed-time results about the solution; among other things these results imply that the behavior of the solution is highly sensitive to the structure of the initial function, as well as the nature of the nonlinear terms. We will argue that this “chaotic behavior” is partly responsible for large-time intermittency. |
Probability
Dynamical Systems