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Local existence of strong solutions to the stochastic Navier-Stokes equations with \(L^{p}\) data
Preprint
13 October 2021
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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 \(p>3\).