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.

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

Luongo, Eliseo
2024

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.
2024
Settore MAT/06 - Probabilita' e Statistica Matematica
Heat-equation; banach-spaces; noise; existence; driven
   Randomness in multiscale partial differential equations - mathematics of random media
   948819
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/142289
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