Contents

Dynamical Systems Theory for the Euler flows on multiply connected regions
 Potential flows on multiply circular regions (2007/12)
 Potentail flow with point vortices, sources and sinks on
multipky connected regions with charge particle simulation(2008/3)
 Uniform flow in river region with many circular islands (2008/4)
 Point Vortices approximation for the Euler flows (2008/8)
 Uniform flow in river region with many islands (2008/8 On going)
 Uniform flow with point vortices, sources and sinks in river
region with many islands (2008/5)
 Flows on the sphere with many islands
 Mathematical theory for point vortices on multiply connected regions.
 Derivation of the governing equation for the point vortices (2008/5)
 Motion of vortex dipole (2008/6; submitted)
 Equilibria and their stability in symmetric multiply connected
domains (2008/12; submitted)
 Brownian Ratchets for pointvortex equilibria in multiply connected
domains
 Formulation of a model for river regions
 Formulation of a model for coastal regions
 Statistics for the point vortices
Mathematical Quest for the environmental issues in hydrosphere
 Seminars
 UCLA IPAM Program, "Optimal Transport: Tutorial" (Los Angeles USA, March 11th13th, 2008)
 日本水環境学会(２００８年３月１９日〜２１日)
 Resilience 2008 (Stockholm Sweden, April 14th  16th 2008)
 JST Presto Symposium on Mathematical Sciences towards Environmental Problems 」June 11th  13th, 2008
 Issac Newton Institute, Programme "Nature of High Reynolds Number Turbulence" Sept. Dec. 2008.
 IUTAM Symposium, "Vortex Dynamics: 150 Years" Oct.13  Oct 16 at Copenhagen
Papers(as of 2008.08.03)
 T. Sakajo, Fixed equilibria of point vortices in symmetric
multiply connected domains, submitted to Physica D.
 坂上 貴之, 球面点渦相互作用の高速treecodeアルゴリズム,
京都大学数理解析研究所講究録 (2009) to appear.
 T. Sakajo, From generation to chaotic motion of a ring
configuration of vortex structures on a sphere, submitted to Theoretical anc Computational Fluid
Dynamics in rivision.
 P. K. Newton and T. Sakajo, Point vortex equilibria on the
sphere via Brownian rachets to appear in Proc. Roy. Soc. A.
 T. Amemiya, H. Serizawa, T. Sakajo, K. Itoh, Mathematical models for dynamics and management of algal blooms in aquatic ecosystems, submitted to Aquatic Ecosystem Research Trends, NOVA Publishers (2008)
 T. Sakajo, Explicit representation of pointvortex interaction in multiply connected circular domains, submitted to Journal of Fluid Mechanics.
 P. K. Newton and T. Sakajo, Point vortex equilibria on the sphere via Brownian rachets, submitted to Proc. Roy. Soc. A.
 T. Sakajo, An extension of Draghicescu's fast treecode algorithm
to the vortex method on a sphere, (2008) Journal of Computational and Applied Mathematics doi: 10.1016/j.cam.2008.07.021
 T. Sakajo, Non selfsimilar, partial and robust collapse of four point vortices on sphere, Physical Review E, vol. 78 No. 1 (2008) doi: 10.1103/PhysRevE.78.016312
