Stochastic PDE

Tuesday, January 15, 2013 - 2:00pm - 2:50pm
Davar Khoshnevisan (The University of Utah)
We present a part of an ongoing effort that attempts to understand
why solutions to many stochastic PDEs are intermittent. In particular,
we show that there is a strong sense in which large families of SPDEs
with intermittent solutions are extremely excitable. More significantly,
we show that this highly nonlinear level of noise excitation is, in a sense
dichotomous: Semidiscrete equations are nearly always far
less excitable than continuous equations. The reason for this dichotomy is also
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