The local existence of strong solution for the stochastic 3D Boussinesq equations

Abstract The stochastic 3D Boussinesq equations with additive noise are considered. We prove the local existence of the strong solution in Hs $H^{s}$ ( 12<s≤1 $\frac{1}{2}< s\leq 1$). We also obtain a new stopping time, which shows that the H12+ $H^{\frac{1}{2}^{+}}$ norm of u controls the bre...

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Bibliographic Details
Main Author: Lihuai Du
Format: Article
Language:English
Published: SpringerOpen 2019-02-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-019-1158-4