Quasi-periodic solutions for the incompressible Navier-Stokes equations with nonlocal diffusion

This paper studied the incompressible Navier-Stokes (NS) equations with nonlocal diffusion on $ \mathbb{T}^d (d \ge 2) $. Driven by a time quasi-periodic force, the existence of time quasi-periodic solutions in the Sobolev space was established. The proof was based on the decomposition of the unknow...

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Bibliographic Details
Main Authors: Shuguan Ji, Yanshuo Li
Format: Article
Language:English
Published: AIMS Press 2023-11-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2023363?viewType=HTML