TY - JOUR
T1 - Long time existence of classical solutions for the 3D incompressible rotating Euler equations
AU - Takada, Ryo
N1 - Funding Information:
This work was supported by JSPS Grant-in-Aid for Research Activity Start-up Grant Number 25887005.
Publisher Copyright:
© 2016 The Mathematical Society of Japan.
PY - 2016
Y1 - 2016
N2 - We consider the initial value problem of the 3D incompressible rotating Euler equations. We prove the long time existence of classical solutions for initial data in Hs(ℝ3) with s > 5/2. Also, we give an upper bound of the minimum speed of rotation for the long time existence when initial data belong to H7/2(ℝ3).
AB - We consider the initial value problem of the 3D incompressible rotating Euler equations. We prove the long time existence of classical solutions for initial data in Hs(ℝ3) with s > 5/2. Also, we give an upper bound of the minimum speed of rotation for the long time existence when initial data belong to H7/2(ℝ3).
KW - Long time existence
KW - The 3D Euler equations
KW - The Coriolis force
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U2 - 10.2969/jmsj/06820579
DO - 10.2969/jmsj/06820579
M3 - Article
AN - SCOPUS:84970943640
SN - 0025-5645
VL - 68
SP - 579
EP - 608
JO - Journal of the Mathematical Society of Japan
JF - Journal of the Mathematical Society of Japan
IS - 2
ER -