On initial-boundary value problem of the stochastic Navier--Stokes equations in the half space

Tongkeun Chang; Minsuk Yang

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arXiv · 2012.01730

On initial-boundary value problem of the stochastic Navier--Stokes equations in the half space

Tongkeun Chang·Minsuk Yang

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Abstract

We study the initial-boundary value problem of the stochastic Navier--Stokes equations in the half space. We prove the existence of weak solutions in the standard Besov space valued random processes when the initial data belong to the critical Besov space.

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Tongkeun Chang, Minsuk Yang. 2020-12-03. On initial-boundary value problem of the stochastic Navier--Stokes equations in the half space. https://arxiv.org/abs/2012.01730

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