On time-periodic Navier-Stokes flows with fast spatial decay in the whole space

0489054 - MÚ 2019 RIV CH eng J - Journal Article
Nakatsuka, Tomoyuki
On time-periodic Navier-Stokes flows with fast spatial decay in the whole space.
Journal of Elliptic and Parabolic Equations. Roč. 4, č. 1 (2018), s. 51-67. ISSN 2296-9020
Institutional support: RVO:67985840
Keywords : Navier-Stokes equation * time-periodic solution * asymptotic property
OECD category: Pure mathematics
https://link.springer.com/article/10.1007%2Fs41808-018-0011-8

We investigate the pointwise behavior of time-periodic Navier–Stokes flows in the whole space. We show that if the time-periodic external force is sufficiently small in an appropriate sense, then there exists a unique time-periodic solution {u,p} of the Navier–Stokes equation such that ... Our solution decays more rapidly than the time-periodic Stokes fundamental solution. The proof is based on the representation formula of a solution via the time-periodic Stokes fundamental solution and its properties.
Permanent Link: http://hdl.handle.net/11104/0283539