Finite time mixing and enhanced dissipation for 2D Navier-Stokes equations by Ornstein–Uhlenbeck flow
Abstract We consider the vorticity form of 2D Navier–Stokes equations perturbed by an Ornstein–Uhlenbeck flow of transport type. Contrary to previous works where the random perturbation was interpreted as Stratonovich transport noise, here we understand the equation in a pathwise manner and show the properties of mixing and enhanced dissipation for suitable choice of the flow.
Authors
- Chang Liu (ORCID: https://orcid.org/0000-0002-5484-3463)
- Dejun Luo
Institutions
- Chinese Academy of Sciences (CN)
- Academy of Mathematics and Systems Science (CN)
- University of Chinese Academy of Sciences (CN)
Publication Details
- Journal
- Nonlinearity
- Published
- 2025-01-16
- DOI
- https://doi.org/10.1088/1361-6544/ada50f
- Primary Topic
- Fluid Dynamics and Turbulent Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Youth Innovation Promotion Association of the Chinese Academy of Sciences
- National Key Research and Development Program of China
- Youth Innovation Promotion Association