Global well-posedness and interior regularity of 2D Navier–Stokes equations with stochastic boundary conditions
Journal Article
(2024)
Research Group
Analysis
Copyright
© 2024 A. Agresti, Eliseo Luongo
DOI related publication
https://doi.org/10.1007/s00208-024-02812-0
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https://resolver.tudelft.nl/uuid:15ddc123-7a5c-4083-9dab-662f639a8bb4
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Publication Year
2024
Language
English
Copyright
© 2024 A. Agresti, Eliseo Luongo
Research Group
Analysis
Issue number
2
Volume number
390
Pages (from-to)
2727-2766
Reuse Rights
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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.
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