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Evolution Equations:
Randomness and Asymptotics
The dynamical behavior of many systems
in science and technology
can be described by evolution
equations. The fundamental
examples
such as
wave and Schrödinger equations,
reaction-diffusion equations, and
Navier Stokes equations
are the mathematical foundation for the modeling
of countless problems coming from, e.g.,
nonlinear optics, chemical reactions,
population dynamics, and
fluid mechanics.
The conference will concentrate on two
recent tends.
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Stochastic evolution equations
which model system
subjected to internal
or environmental
noise, possibly
with random initial conditions.
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Stability of distinguished
(e.g. wave) solutions
and invariant measures
for equations with non-linearities
of critical order.
In both aspects of evolution equations
- randomness and asymptotics -
dramatic progress has
been achieved in recent years
through the influx of new methods
from different branches of analysis,
such as: stochastic analysis,
harmonic analysis, partial differential equations
and spectral theory.
The conference will offer a forum for further exchange of ideas
among experts from these branches of analysis. In particular, we want
to support the participation of young researchers by a limited number of
travel grants.
Organizers
Prof. Dr. Roland Schnaubelt
and
Prof. Dr. Lutz Weis
Scientific Board
H. Amann,
W. Arendt,
R. Dalang,
G. Da Prato,
M. Hairer,
M. Hieber,
H. Koch,
J. Prüß,
M. Röckner,
M. Tucsnak.
Conference photo
You can download the conference photos here: Photo 1, Photo 2
The conference is supported by Volkswagen Foundation and the Karlsruhe
Institute of Technology.
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