# Dispersive effect of the Coriolis force and the local well-posedness for the Navier-Stokes equations in the rotational framework

4 被引用数 (Scopus)

## 抄録

We consider the initial value problems for the Navier-Stokes equations with the Coriolis force. We prove the local in time existence and uniqueness of the mild solution for every Ω ∈ R \ {0} and u0 ∈ Hs(R3)3 with s > 1/2. Furthermore, we give a lower bound of the existence time in terms of |Ω|. (formula presented) It follows from our lower bound that the existence time T of the solution can be taken arbitrarily large provided the speed of rotation |Ω| is sufficiently fast.

本文言語 English 365-385 21 Funkcialaj Ekvacioj 58 3 https://doi.org/10.1619/fesi.58.365 Published - 2015 12 26 はい

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