Existence and uniqueness of weak solution to a three-dimensional stochastic modified-Leray-alpha model of fluid turbulence
Volume 8, Issue 1 (2021), pp. 115–137
Pub. online: 16 March 2021
Type: Research Article
Open Access
Open Access
Received
9 August 2020
9 August 2020
Revised
27 February 2021
27 February 2021
Accepted
27 February 2021
27 February 2021
Published
16 March 2021
16 March 2021
Abstract
In this paper, we study the stochastic three-dimensional modified Leray-alpha model arising from the turbulent flows of fluids. We prove the existence of the probabilistic weak solution under the non-Lipschitz condition for the nonlinear forcing terms. We also discuss its uniqueness.
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