Research Project
Grant-in-Aid for Research Activity Start-up
This research project aims to analyze nonlinear partial differential equations describing the motion of incompressible rotating fluids mathematically. We established dispersive and space-time estimates for the linear propagator generated by the Coriolis force. As an application, we proved the long time existence of solutions to the initial value problem for the incompressible rotating Euler equations. It is expected that our results and techniques obtained in this research can be applied to the study of the rotating shallow water equations and the primitive equations.
All 2015 2014 2013
All Journal Article (10 results) (of which Peer Reviewed: 9 results, Acknowledgement Compliant: 2 results) Presentation (17 results) (of which Invited: 16 results)
Journal of the Mathematical Society of Japan
Volume: 掲載確定
130006887147
Advances in Differential Equations
Volume: 19 Pages: 857-878
Journal of Functional Analysis
Volume: 267 Issue: 5 Pages: 1321-1337
10.1016/j.jfa.2014.05.022
Journal of Differential Equations
Volume: 256 Issue: 2 Pages: 707-744
10.1016/j.jde.2013.09.017
J. Evolution Equations
Volume: 14 Issue: 3 Pages: 565-601
10.1007/s00028-014-0228-4
Recent Developments of Mathematical Fluid Mechanics, Series: Advances in Mathematical Fluid Mechanics
Funkcialaj Ekvacioj
130005020755
Mathematische Annalen
Volume: (掲載確定) Issue: 2 Pages: 727-741
10.1007/s00208-013-0923-4
RIMS Kokyuroku Bessatsu
Volume: B42
RIMS Kokyuroku
Volume: 1830