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Quasilinear PDEs with irregular forcing

Date: Tuesday, March 13, 2018 15:30 - 16:30
Speaker: Mate Gerencser (IST Austria)
Location: Mondi Seminar Room 2, Central Building
Series: Mathematics and CS Seminar
Host: Jan Maas

Abstract:

We consider a class of quasilinear PDEs with a stochastic right-hand side that is rather irregular, in particular the product $a(u)\Delta u$ appearing in the quasilinearity is ill-defined. A general solution theory will be discussed and some aspects of the renormalisation procedure will be outlined. Joint work with Martin Hairer (Imperial College London).
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