Global well-Posedness and Interior Regularity of 2D Navier-Stokes Equations with Stochastic Boundary Conditions
- Authors: Antonio Agresti, Eliseo Luongo
- Preprint year: 2023
- First public date: 2023-06-19
- arXiv: 2306.11081
- Status: Published
- Publication type: Journal article
- Publication year: 2024
- Journal: Mathematische Annalen 390(2), 2727–2766 (2024)
- Published online: 2024-02-27
- DOI: 10.1007/s00208-024-02812-0
Abstract
The paper is devoted to the analysis of the global well-posedness and the interior regularity of the 2D Navier-Stokes equations with inhomogeneous stochastic boundary conditions. The noise, white in time and coloured in space, can be interpreted as the physical law describing the driving mechanism on the atmosphere-ocean interface, i.e. as a balance of the shear stress of the ocean and the horizontal wind force.