# Decay estimate and well-posedness for the 3D Euler equations with Coriolis force

Decay estimate and well-posedness for the 3D Euler equations with Coriolis force In this paper, we are concerned with the cauchy problem of the 3D Euler equations in rotation framework. Provided the speed of rotation $$|\Omega |$$ | Ω | is sufficiently large, we can obtain the global well-posedness of corresponding solutions. The lower bound of $$|\Omega |$$ | Ω | is the polynomial form of the initial data and the time, which improves the exponential form by Koh et al. (J Differ Equ 256:707–744, 2014). The idea is applying a decay estimate instead of the Strichartz estimate. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Monatshefte f�r Mathematik Springer Journals

# Decay estimate and well-posedness for the 3D Euler equations with Coriolis force

, Volume 185 (3) – Jan 11, 2018
12 pages

/lp/springer_journal/decay-estimate-and-well-posedness-for-the-3d-euler-equations-with-K09LlmOf9h
Publisher
Springer Vienna
Subject
Mathematics; Mathematics, general
ISSN
0026-9255
eISSN
1436-5081
D.O.I.
10.1007/s00605-017-1152-9
Publisher site
See Article on Publisher Site

### Abstract

In this paper, we are concerned with the cauchy problem of the 3D Euler equations in rotation framework. Provided the speed of rotation $$|\Omega |$$ | Ω | is sufficiently large, we can obtain the global well-posedness of corresponding solutions. The lower bound of $$|\Omega |$$ | Ω | is the polynomial form of the initial data and the time, which improves the exponential form by Koh et al. (J Differ Equ 256:707–744, 2014). The idea is applying a decay estimate instead of the Strichartz estimate.

### Journal

Monatshefte f�r MathematikSpringer Journals

Published: Jan 11, 2018

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