TY - JOUR
T1 - Strichartz estimates for the Euler equations in the rotational framework
AU - Koh, Youngwoo
AU - Lee, Sanghyuk
AU - Takada, Ryo
N1 - Funding Information:
Y. Koh is supported by NRF Grant 2012008373 (Korea) and S. Lee is supported in part by NRF Grant 20120000940 (Korea). R. Takada was supported by JSPS Research Fellowships for Young Scientists and partly supported by the JSPS Institutional Program for Young Researcher Overseas Visits “Promoting international young researchers in mathematics and mathematical sciences led by OCAMI”.
PY - 2014/1/15
Y1 - 2014/1/15
N2 - We consider the initial value problems of the incompressible Euler equations in the rotational framework. We obtain the optimal range of the Strichartz estimate for the linear group associated with the Coriolis forces. As an application, we prove that the lifespan of the solution can be taken arbitrarily large provided that the speed of rotation is sufficiently high.
AB - We consider the initial value problems of the incompressible Euler equations in the rotational framework. We obtain the optimal range of the Strichartz estimate for the linear group associated with the Coriolis forces. As an application, we prove that the lifespan of the solution can be taken arbitrarily large provided that the speed of rotation is sufficiently high.
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U2 - 10.1016/j.jde.2013.09.017
DO - 10.1016/j.jde.2013.09.017
M3 - Article
AN - SCOPUS:84886768490
SN - 0022-0396
VL - 256
SP - 707
EP - 744
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 2
ER -