Existence of periodic solutions and their asymptotic stability to the Navier–Stokes equations with the Coriolis force

Autor:	Hideo Kozono, Ryo Takada, Yuki Mashiko
Rok vydání:	2014
Předmět:	Mathematics (miscellaneous) Classical mechanics Disturbance (geology) Exponential stability Mathematical analysis Navier–Stokes equations Mathematics
Zdroj:	Journal of Evolution Equations. 14:565-601
ISSN:	1424-3202 1424-3199
DOI:	10.1007/s00028-014-0228-4
Popis:	We consider the time-periodic problem for the Navier–Stokes equations in the rotational framework. We prove the unique existence of time-periodic solutions for the prescribed external force. Furthermore, we also show the asymptotic stability of small time-periodic solutions provided the initial disturbance is sufficiently small.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::58ae131f87875efc5c86c6a08aa36b22 https://doi.org/10.1007/s00028-014-0228-4 Zobrazit plný text záznamu Full text from SpringerLink