Monday, July 10, 2023 - 17:00 in ZiF
Stabilization by rough noise
A talk in the SPDEs, optimal control and mean field games series by
Dirk Blömker from Augsburg
| Abstract: |
In this talk we consider a model from epitaxial thin-film growth, which was originally
introduced as a phenomenological growth model in the presence of a Schwoebbel
barrier, where diffusing particles on a terrace are not allowed to jump down.
This leads to an instability and the formation of hills. Although the deterministic
model exhibits no problems for existence and uniqueness of solutions, we show
that in the presence of arbitrarily small additive space-time white noise (due
to fluctuations in the incoming particles) surprisingly all non-linear interactions
in the model are eliminated. Thus the spatial roughness of the noise stabilizes
the dynamics and suppresses the growth of hills in these models. Joint work
with Johannes Rimmele.
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