Global well-posedness and interior regularity of 2D Navier–Stokes equations with stochastic boundary conditions

Journal article (2024)

Authors

A. Agresti Analysis - EEMCS , Institute of Science and Technology Austria
Eliseo Luongo Istituto Nanoscienze-CNR and Scuola Normale Superiore
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2024 A. Agresti, Eliseo Luongo
DOI: https://doi.org/10.1007/s00208-024-02812-0
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Published Date

2024

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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.