LIÊN KẾT WEBSITE
Decay estimates on Besov and Triebel-Lizorkin spaces of the Stokes flows and the incompressible Navier-Stokes flows in half-spaces
Journal of Differential Equations Số , năm 2022 (Tập 340, trang 83-110)
ISSN: 220396
ISSN: 220396
DOI: 10.1016/j.jde.2022.08.020
Tài liệu thuộc danh mục:
Article
English
Tóm tắt tiếng anh
Consider the non-stationary Navier-Stokes equation in the upper half space of Rn. We prove the decay estimates of the strong solution and its derivatives in the setting of Besov and Triebel–Lizorkin spaces. This is the first time that the decay estimates of solutions to the non-stationary Navier-Stokes equations on Besov and Triebel-Lizorkin spaces are established. Our results not only extend the known results from Hardy spaces to Besov and Triebel-Lizorkin spaces but also imply new estimates on Sobolev spaces and give better decay estimates on Hardy spaces. © 2022 Elsevier Inc.