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DTSTAMP:20210309T210000Z
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CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20210309T210000Z
DTEND:20210309T220000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
Colloquium\n
\n
Andrea Nahmod, University of Massachusetts
Amherst, will be speaking.\n
\n
The
title of the seminar is "Propagation of randomness
under the flow of nonlinear dispersive
equations."\n
\n
Contact Aaron D Levin for more
information.\n
\n
The study of partial differential
equations (PDEs) with randomness has become
an important and influential subject in
the last few decades. In this talk we focus on
the time dynamics of solutions of nonlinear
dispersive equations with random initial data.
It is well known that in many situations,
randomization improves the behavior of solutions
to PDEs: the key underlying difficulty is
in understanding how randomness propagates under
the flow of nonlinear PDEs. In this context,
starting with an overview of J. Bourgain's
seminal work on the invariance of Gibbs measures
for nonlinear Schrödinger equations we
describe new methods that offer deeper insights.
We discuss in particular the theory of random
tensors, a powerful new framework that
we developed with Yu Deng and Haitian Yue, which
allows us to unravel the propagation of randomness
beyond the linear evolution of random
data and probe the underlying random structure
that lives on high frequencies/fine scales.
\n\n
Price: free\n
Sponsor: Department of Mathematics\n
Sponsor's Homepage: https://www.math.msu.edu/\n
Contact name: Department of Mathematics\n
Contact phone: (517) 353-0844\n
for more info visit the web at:\n
https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Online via Zoom
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