MDSC

Maximal regularity of parabolic stochastic PDE

The Mathematical Data Science Centre seminar series.

schedule Date & time
Date/time
19 May 2025 1:00pm - 19 May 2025 2:00pm
person Speaker

Speakers

Pierre Portal (Australian National University)
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Description

Abstract 

Diffusion equations have a smoothing effect on both the initial data and the external forces. Solutions are typically two order of smoothness better than deterministic forcing terms and one order of smoothness better than Ito stochastic forcing terms. In this talk, I'll survey this phenomenon, reaching my latest work on the topic. In this joint work with Pascal Auscher, we show that such smoothing still occurs, even in media that can change in space, time, and the probability variable in an $L^{\infty}$ manner. This is part of quest to understand how noise can regularise fluid mechanics equations. The talk will focus on ideas and directions rather than on techniques (as interesting as they may be to a harmonic analyst).

Recording

Here.

Location

Seminar Room 1.33, Hanna Neumann Building 145
Science Road, Acton ACT 2601

-35.275905361234, 149.1191043