2010 - 2016 Towards a Paradigm Shift Created by Mathematics of Vortex-Boundary Interactions
2013 - 2015 Construction of mathematical models for long-term forecast of atmospheric variation by climate time-series
2009 - 2012 Towards a mathematical theory of fluid turbulence via singular vortex dynamics
2010 - 2012 Breakthrough in numerical analysis and numerical computation related with infinitely-precision arithmetic
2007 - 2011 Dynamical Systems Theory for Hydrospheric Environments
2007 - 2009 Foundation of high accuracy computational methods on the multiple-precision computer environment and its applications to analysi of inverse problems
2006 - 2009 Mathematical studies on fluid motions under certain conditions
2007 - 2008 Application of Computational Homology to Fluid Phenomena
2005 - 2007 Development of Fast and Accurate Numerical Solver for Vortex Dynamics on a Rotating Sphere
2005 - 2007 A Study of Blow-up Problems and Singular Perturbation Problems arisingin Mathematical Fluid Mechanics
2005 - 2006 Development of Reaction-Diffusion Theory for Flows in Non-Uniform Media
2003 - 2005 Numerical and mathematical analysis to low-dimensional solutions in. mathematical fluid problems
2003 - 2005 CONSERVATION AND STABILITY OF DYNAMICAL SYSTEMS AND ITS NUMERICAL ANAKYSIS
2002 - 2004 Analysis of Singularities on Comples Time Domain for Vortex Sheet Problem
2002 - 2004 Applications of the dynamical systems theory and the singularity theory to mathematical fluid mechanics
2003 - 2003 反応拡散系理論と流体理論の融合により展開される新しい非線形問題の調査
1999 - 2000 Study of Singularity Formation in Three-Dimensional Vortes Sheets
1997 - 1997 渦法を用いた流れの特異点の研究
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Papers (85):
Yuta Tsuji, Takashi Sakajo. Statistical laws of a one-dimensional model of turbulent flows subject to an external random force. Nonlinearity. 2023. 36. 8. 4283-4302
Vikas S. Krishnamurthy, Takashi Sakajo. The vortex problem in a doubly periodic rectangular domain with constant background vorticity. Physica D: Nonlinear Phenomena. 2023. 448. 133728-133728
Takashi Sakajo. Singular solutions of nonlinear hydrodynamic equations arising in turbulence theory. Sugaku Expositions. 2023. 36. 1. 93-117
Takashi Sakajo, Tomoo Yokoyama. Discrete representations of orbit structures of flows for topological data analysis. Discrete Mathematics, Algorithms and Applications. 2022
Takashi Sakajo, Shun Ohishi, Tomoki Uda. Identification of Kuroshio meanderings south of Japan via a topological data analysis for sea surface height. Journal of Oceanography. 2022. 78. 6. 495-513
Takashi Sakajo. Fourier series capturing singular phenomena in fluid dynamics. Nagare : journal of Japan Society of Fluid Mechanics. 2022. 41. 5. 312-317
Equilibrium states of vortex points and vortex sheets
(Complex analysis: techniques, applications and computations - perspevtives in 2023 (CAT04) 2023)
One-dimensional hydrodynamic PDE model of turbulent flow with the enstrophy cascade
(ANR Project Quantum Turbulence Exploration by High Performance Computating 2023)