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Generation of random dynamical systems for SPDE with nonlinear noise.

Presented by: 
Benjamin Gess Max-Planck-Institut für Mathematik, Leipzig
Date: 
Wednesday 28th November 2018 - 15:00 to 16:00
Venue: 
INI Seminar Room 2
Abstract: 
In this talk we will revisit the problem of generation of random dynamical systems by
solutions to SPDE. Despite being at the heart of a dynamical system approach to
stochastic dynamics in infinite dimensions, most known results are restricted
to SPDE driven by affine linear noise, which can be treated via transformation
arguments. In contrast, in this talk we will address instances of SPDE with
nonlinear noise, with particular emphasis on porous media equations driven by
conservative noise.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons