Abstract
Remarks on the Euler equations with rough transport noise
We will discuss preliminary results on the well-posedness of the rough Euler equations with rough transport noise in a general smooth bounded domain.
Our approach is based on [Bourguignon, Brezis: Remarks on the Euler equation, J. Funct. Anal., 15:4, 1974]], that is, we investigate a Lagrangian reformulation of the Euler equations as a rough differential equation in a suitable Banach space.
This is a joint work with Zdzis{l}aw Brze'{z}niak and Yuanke Chen.