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Bibliographic Details
Main Authors: Jiao, Shuaijie, Luo, Dejun
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2406.07167
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Table of Contents:
  • In the recent work [arXiv:2308.03216], Coghi and Maurelli proved pathwise uniqueness of solutions to the vorticity form of stochastic 2D Euler equation, with Kraichnan transport noise and initial data in $L^1\cap L^p$ for $p>3/2$. The aim of this note is to remove the constraint on $p$, showing that pathwise uniqueness holds for all $L^1\cap L^p$ initial data with arbitrary $p>1$.