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      Local existence of strong solutions to the stochastic Navier-Stokes equations with \(L^{p}\) data

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          Abstract

          For the stochastic Navier-Stokes equations with a multiplicative white noise on \({\mathbb T}^{3}\), we prove that there exists a unique strong solution locally in time when the initial datum belongs to \(L^p(\Omega; L^p)\) for \(p>3\).

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          Journal
          13 October 2021
          Article
          2110.07091

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          math.AP

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