SMS scnews item created by Miranda Luo at Tue 10 May 2022 1702
Type: Seminar
Modified: Tue 10 May 2022 1918
Distribution: World
Expiry: 16 May 2022
Calendar1: 16 May 2022
CalLoc1: Zoom webinar
CalTitle1: A pathwise stochastic Landau-Lifschitz-Gilbert equation via rough paths in 1D
Auth: miranda@w7r3b0j3.staff.wireless.sydney.edu.au (jluo0722) in SMS-SAML

# A pathwise stochastic Landau-Lifschitz-Gilbert equation via rough paths in 1D

### Emanuela Gussetti

Dear friends and colleagues,

on Monday, 16 May 2022 at
02:00 PM for Beijing, Hong Kong and Perth
03:00 PM for Seoul and Tokyo
04:00 PM for Canberra, Melbourne and Sydney
06:00 PM for Auckland

PhD student Emanuela Gussetti is giving a talk in our Asia-Pacific Analysis and PDE Seminar on

A pathwise stochastic Landau-Lifschitz-Gilbert equation via rough paths in 1D

Abstract:

Using a rough path formulation, we investigate existence, uniqueness and regularity for the stochastic Landau-Lifshitz-Gilbert equation with multiplicative Stratonovich noise on the one dimensional torus. As a main result we show the Lipschitz continuity of the so-called Itô-Lyons map in the energy spaces $L^\infty(0,T;H^k)∩L^2(0,T;H^{k+1})$ for any k ≥ 1. As a consequence we then deduce a Wong-Zakai type result, a large deviation principle for the solution and a support theorem. At the end of the talk, I will discuss some recent results.The talk is based on a joint work with Antoine Hocquet.

Chair: Ben Goldys (The University of Sydney, Australia)

More information and how to attend this talk can be found at the seminar webpage .

Miranda,

On behalf of Daniel H. and Ben.

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## Webinar Speaker

Emanuela Gussetti
PhD student @ University of Bielefeld, Germany

Emanuela Gussetti is currently a PhD student at the University of Bielefeld (Germany), under the supervision of Professor Martina Hofmanová. She completed her Master degree at the University of Milan (Italy). Her main research interests are in the application of rough path for the study of stochastic PDEs.

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