Takashi Sakajo

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All published works
Action Title Year Authors
+ PDF Chat Steady vortex patches on flat torus with a constant background vorticity 2025 Takashi Sakajo
Changjun Zou
+ PDF Chat Regularization for point vortices on $\mathbb S^2$ 2024 Takashi Sakajo
Changjun Zou
+ PDF Chat $C^1$ type regularization for point vortices on $\mathbb S^2$ 2024 Takashi Sakajo
Changjun Zou
+ PDF Chat Topological vortex identification for Hamiltonian flows in doubly periodic domains 2024 Mitsuaki Kimura
Takashi Sakajo
Tomoo Yokoyama
+ PDF Chat Uniform error bounds of the ensemble transform Kalman filter for infinite-dimensional dynamics with multiplicative covariance inflation 2024 Kota Takeda
Takashi Sakajo
+ Applied and computational complex analysis in the study of nonlinear phenomena 2024 Bartosz Protas
Stefan G. Llewellyn Smith
Takashi Sakajo
+ Geometric Ergodicity for Hamiltonian Monte Carlo on Compact Manifolds 2023 Kota Takeda
Takashi Sakajo
+ PDF Chat Singular solutions of nonlinear hydrodynamic equations arising in turbulence theory 2023 Takashi Sakajo
+ PDF Chat Discrete representations of orbit structures of flows for topological data analysis 2022 Takashi Sakajo
Tomoo Yokoyama
+ Proceedings of 46th Sapporo Symposium on Partial Differential Equations 2021 Shin-Ichiro Ei
Yoshikazu Giga
Nao Hamamuki
Shuji Jimbo
H. Kubo
Hideyo Kuroda
Y. Liu
Tohru Ozawa
Takashi Sakajo
Kimitoshi Tsutaya
+ PDF Chat Finite rotating and translating vortex sheets 2021 Bartosz Protas
Stefan G. Llewellyn Smith
Takashi Sakajo
+ Proceedings of 45th Sapporo Symposium on Partial Differential Equations 2020 Shin-Ichiro Ei
Yoshikazu Giga
Nao Hamamuki
Shuji Jimbo
H. Kubo
Hideyo Kuroda
Tohru Ozawa
Takashi Sakajo
Kimitoshi Tsutaya
+ Discrete representations of orbit structures of flows for topological data analysis 2020 Takashi Sakajo
Tomoo Yokoyama
+ PDF Chat Rotating equilibria of vortex sheets 2019 Bartosz Protas
Takashi Sakajo
+ Proceedings of 44th Sapporo Symposium on Partial Differential Equations 2019 Shin-Ichiro Ei
Yoshikazu Giga
Nao Hamamuki
Shuji Jimbo
H. Kubo
Hideyo Kuroda
Tohru Ozawa
Takashi Sakajo
Kimitoshi Tsutaya
+ PDF Chat Exact solution to a Liouville equation with Stuart vortex distribution on the surface of a torus 2019 Takashi Sakajo
+ Proceedings of 43rd Sapporo Symposium on Partial Differential Equations 2018 Shin-Ichiro Ei
Yoshikazu Giga
Nao Hamamuki
Shuji Jimbo
H. Kubo
Hideyo Kuroda
Tohru Ozawa
Takashi Sakajo
Kimitoshi Tsutaya
+ PDF Chat Harnessing the Kelvin–Helmholtz instability: feedback stabilization of an inviscid vortex sheet 2018 Bartosz Protas
Takashi Sakajo
+ PDF Chat Universality of the Anomalous Enstrophy Dissipation at the Collapse of Three Point Vortices on Euler--Poincaré Models 2018 Takeshi Gotoda
Takashi Sakajo
+ Universality of the anomalous enstrophy dissipation at the collapse of three point vortices on Euler-Poincar\'{e} models 2017 Takeshi Gotoda
Takashi Sakajo
+ One-dimensional hydrodynamic equation generating turbulent scaling laws and self-similar singular solutions 2017 Takashi Sakajo
Takeshi Matsumoto
+ PDF Chat Linear feedback stabilization of point-vortex equilibria near a Kasper wing 2017 Rhodri Nelson
Bartosz Protas
Takashi Sakajo
+ Proceedings of the 42nd Sapporo Symposium on Partial Differential Equations ‐ In memory of Professor Taira Shirota ‐ 2017 Shin-Ichiro Ei
Yoshikazu Giga
Nao Hamamuki
Shuji Jimbo
Hideo Kubo
Tohru Ozawa
Takashi Sakajo
Yoshihiro Tonegawa
Kimitoshi Tsutaya
+ Turbulence, cascade and singularity in a generalization of the Constantin-Lax-Majda equation 2017 Takeshi Matsumoto
Takashi Sakajo
+ Proceedings of the 41st Sapporo Symposium on Partial Differntial Equations 2016 Shin-Ichiro Ei
Yoshikazu Giga
Shuji Jimbo
Hideo Kubo
Tohru Ozawa
Takashi Sakajo
Hideo Takaoka
Yoshihiro Tonegawa
Kimitoshi Tsutaya
+ Distributional Enstrophy Dissipation Via the Collapse of Three Point Vortices 2016 Takeshi Gotoda
Takashi Sakajo
+ PDF Chat One-dimensional hydrodynamic model generating a turbulent cascade 2016 Takeshi Matsumoto
Takashi Sakajo
+ Enstrophy Variations in the Incompressible 2D Euler Flows and $$\alpha $$ α Point Vortex System 2016 Takeshi Gotoda
Takashi Sakajo
+ Proceedings of the 40th Sapporo Symposium on Partial Differential Equations 2015 Shin-Ichiro Ei
Shuji Jimbo
Hideo Kubo
Tohru Ozawa
Takashi Sakajo
Hideo Takaoka
Yoshihiro Tonegawa
Kimitoshi Tsutaya
+ PDF Chat Transitions between streamline topologies of structurally stable Hamiltonian flows in multiply connected domains 2015 Takashi Sakajo
Tomoo Yokoyama
+ PDF Chat A fast computational method for potential flows in multiply connected coastal domains 2015 Mohamed M. S. Nasser
Takashi Sakajo
Ali H. M. Murid
Lee Khiy Wei
+ Proceedings of the 39th Sapporo Symposium on Partial Differential Equations 2014 Shin-Ichiro Ei
Yoshikazu Giga
Shuji Jimbo
Hideo Kubo
Takashi Sakajo
Hideo Takaoka
Yoshihiro Tonegawa
Kimitoshi Tsutaya
+ Steady-states and traveling-wave solutions of the generalized Constantin--Lax--Majda equation 2014 Hisashi Okamoto
Takashi Sakajo
Marcus Wunsch
+ Proceedings of the 38th Sapporo Symposium on Partial Differential Equations 2013 Yoshikazu Giga
Shuji Jimbo
Tohru Ozawa
Kimitoshi Tsutaya
Yoshihiro Tonegawa
H. Kubo
Takashi Sakajo
Hideo Takaoka
+ Corrigendum: Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity: a numerical study 2012 Koji Ohkitani
Takashi Sakajo
+ PDF Chat Instantaneous energy and enstrophy variations in Euler-alpha point vortices via triple collapse 2012 Takashi Sakajo
+ PDF Chat Fixed equilibria of point vortices in symmetric multiply connected domains 2011 Takashi Sakajo
+ Proceedings of the 36th Sapporo Symposium on Partial Differential Equations 2011 Tohru Ozawa
Yoshikazu Giga
Takashi Sakajo
Shuji Jimbo
Hideo Takaoka
Kimitoshi Tsutaya
Yoshihiro Tonegawa
Gen Nakamura
+ PDF Chat Point vortex equilibria and optimal packings of circles on a sphere 2010 Paul K. Newton
Takashi Sakajo
+ PDF Chat Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity: a numerical study 2010 Koji Ohkitani
Takashi Sakajo
+ Proceedings of the 35th Sapporo Symposium on Partial Differential Equations 2010 Tohru Ozawa
Yoshikazu Giga
Takashi Sakajo
Hideo Takaoka
Kimitoshi Tsutaya
Yoshihiro Tonegawa
Gen Nakamura
Shuji Jimbo
+ Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalised viscosity: a numerical study 2010 Koji Ohkitani
Takashi Sakajo
+ Proceeding of the 34th Sapporo Symposium on Partial Differential Equations 2009 Tohru Ozawa
Takashi Sakajo
Shuji Jimbo
Hideo Takaoka
Kimitoshi Tsutaya
Yoshihiro Tonegawa
Gen Nakamura
Yoshikazu Giga
+ PDF Chat On a generalization of the Constantin–Lax–Majda equation 2008 Hisashi Okamoto
Takashi Sakajo
Marcus Wunsch
+ Proceeding of the 33rd Sapporo Symposium on Partial Differential Equations 2008 Tohru Ozawa
Yoshikazu Giga
Shuji Jimbo
Gen Nakamura
Yoshihiro Tonegawa
Kimitoshi Tsutaya
Takashi Sakajo
+ On a generalization of the Constantin-Lax-Majda equation 2008 Hisashi Okamoto
Takashi Sakajo
Marcus Wunsch
+ Proceedings of the 32nd Sapporo Symposium on Partial Differential Equations 2007 Tetsuya Ozawa
Yoshikazu Giga
Shuji Jimbo
Gen Nakamura
Yoshihiro Tonegawa
Kimitoshi Tsutaya
Takashi Sakajo
+ PDF Chat Integrable four-vortex motion on sphere with zero moment of vorticity 2007 Takashi Sakajo
+ PDF Chat Invariant dynamical systems embedded in the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si82.gif" display="inline" overflow="scroll"><mml:mi>N</mml:mi></mml:math>-vortex problem on a sphere with pole vortices 2006 Takashi Sakajo
+ Integrable four-vortex motion on sphere with zero moment of vorticity 2006 Takashi Sakajo
+ Proceedings of the 31st Sapporo Symposium on Partial Differential Equations 2006 Tetsuya Ozawa
Yoshikazu Giga
Shuichi Jimbo
Gen Nakamura
Yoshihiro Tonegawa
Kimitoshi Tsutaya
Takashi Sakajo
+ Invariant dynamical systems embedded in the N-vortex problem on a sphere with pole vortices 2005 Takashi Sakajo
+ PDF Chat High-dimensional heteroclinic and homoclinic connections in odd point-vortex ring on a sphere 2005 Takashi Sakajo
+ PDF Chat Efficient topological chaos embedded in the blinking vortex system 2005 Eiko Kin
Takashi Sakajo
+ PDF Chat Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices 2004 Takashi Sakajo
+ PDF Chat Analytic continuation of the Birkhoff–Rott equation in complex-time domain 2004 Takashi Sakajo
+ Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices 2004 Takashi Sakajo
+ Efficient topological chaos embedded in the blinking vortex system 2004 Eiko Kin
Takashi Sakajo
+ PDF Chat On global solutions for the Constantin–Lax–Majda equation with a generalized viscosity term 2003 Takashi Sakajo
+ Blow-up Solutions of the Constantin-Lax-Majda Equation with a Generalized Viscosity Term 2003 Takashi Sakajo
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Concentrations in regularizations for 2‐D incompressible flow 1987 Ronald J. DiPerna
Andrew J. Majda
6
+ A simple one‐dimensional model for the three‐dimensional vorticity equation 1985 Peter Constantin
Peter D. Lax
Andrew J. Majda
6
+ PDF Chat Relative equilibria of point vortices on the sphere 2001 Chjan C. Lim
James Montaldi
Mark Roberts
5
+ PDF Chat Dissipation in turbulent solutions of 2D Euler equations 2001 Gregory L. Eyink
5
+ PDF Chat A study of the Navier–Stokes-α model for two-dimensional turbulence 2007 Evelyn Lunasin
Susan Kurien
Mark A. Taylor
Edriss S. Titi
4
+ PDF Chat Instantaneous energy and enstrophy variations in Euler-alpha point vortices via triple collapse 2012 Takashi Sakajo
4
+ On a one-dimensional model for the three-dimensional vorticity equation 1990 S. De Gregorio
4
+ PDF Chat Existence de nappes de tourbillon en dimension deux 1991 Jean-Marc Delort
4
+ Explicit solutions of the viscous model vorticity equation 1986 Steven Schochet
4
+ Non-stationary flow of an ideal incompressible liquid 1963 V. I. Yudovich
4
+ PDF Chat Point vortices on the sphere: a case with opposite vorticities 2001 Frédéric Laurent-Polz
4
+ The Euler–PoincarĂ© Equations and Semidirect Products with Applications to Continuum Theories 1998 Darryl D. Holm
Jerrold E. Marsden
Tudor S. RaĆŁiu
4
+ PDF Chat Onsager's conjecture on the energy conservation for solutions of Euler's equation 1994 Peter Constantin
E Weinan
Edriss S. Titi
3
+ PDF Chat THE VORTEX BLOB METHOD AS A SECOND-GRADE NON-NEWTONIAN FLUID 2001 Marcel Oliver
Steve Shkoller
3
+ Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations 1999 Jean Duchon
Raoul Robert
3
+ A Treatise on the Theory of Bessel Functions. 1923 Matthew Porter
G. N. Watson
3
+ PDF Chat Remarks on the breakdown of smooth solutions for the 3-D Euler equations 1984 J. Thomas Beale
T. Kato
Andrew J. Majda
3
+ PDF Chat The Anisotropic Lagrangian Averaged Euler and Navier-Stokes Equations 2003 Jerrold E. Marsden
Steve Shkoller
3
+ PDF Chat Formation of singularities for a transport equation with nonlocal velocity 2005 Antonio Barba
Diego CĂłrdoba
Marco A. Fontelos
3
+ PDF Chat On a generalization of the Constantin–Lax–Majda equation 2008 Hisashi Okamoto
Takashi Sakajo
Marcus Wunsch
3
+ Blow-up Solutions of the Constantin-Lax-Majda Equation with a Generalized Viscosity Term 2003 Takashi Sakajo
2
+ PDF Chat On the Convergence Rate of the Euler-α, an Inviscid Second-Grade Complex Fluid, Model to the Euler Equations 2010 Jasmine S. Linshiz
Edriss S. Titi
2
+ On the connection between thin vortex layers and vortex sheets 1990 Gregory R. Baker
Michael Shelley
2
+ Formation of singularities for a transport equation with nonlocal velocity 2005 Carlos De Diego
Marco A. Fontelos
2
+ PDF Chat Flow by mean curvature of convex surfaces into spheres 1984 Gerhard Huisken
2
+ PDF Chat Decay of scalar variance in isotropic turbulence in a bounded domain 2007 Guillevic Lamaison
Wouter J. T. Bos
L. Shao
J. P. Bertoglio
2
+ Simulating Hamiltonian Dynamics 2005 Benedict Leimkuhler
Sebastian Reich
2
+ PDF Chat Endpoint Strichartz estimates 1998 M. Keel
Terence Tao
2
+ Integral inequalities for the Hilbert transform applied to a nonlocal transport equation 2006 Antonio CordĂłba
Diego CĂłrdoba
Marco A. Fontelos
2
+ PDF Chat Variational principles for Lagrangian-averaged fluid dynamics 2002 Darryl D. Holm
2
+ PDF Chat Nonresonance and Global Existence of Prestressed Nonlinear Elastic Waves 2000 Thomas C. Sideris
2
+ PDF Chat On stagnation points and streamline topology in vortex flows 1998 Hassan Aref
Morten BrĂžns
2
+ An Introduction to Harmonic Analysis. 1970 Guido Weiss
Yitzhak Katznelson
2
+ A Partial Differential Equation Arising in a 1D Model for the 3D Vorticity Equation 1996 S. De Gregorio
2
+ Singular integral equations : boundary problems of functions theory and their applications to matematical physics 1958 N. I. Muskhelishvili
J. R. M. Radok
2
+ Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data 1994 Hideo Kozono
Masao Yamazaki
2
+ On blow-up at space infinity for semilinear heat equations 2005 Yoshikazu Giga
Noriaki Umeda
2
+ On the Navier-Stokes initial value problem. I 1964 Hiroshi Fujita
Tosio Kato
2
+ The approach of solutions of nonlinear diffusion equations to travelling front solutions 1977 Paul C. Fife
J. B. McLeod
2
+ PDF Chat On global solutions for the Constantin–Lax–Majda equation with a generalized viscosity term 2003 Takashi Sakajo
2
+ PDF Chat Global well-posedness for the critical 2D dissipative quasi-geostrophic equation 2006 Alexander Kiselev
FĂ«dor Nazarov
Alexander Volberg
2
+ Well-posedness for the Navier–Stokes Equations 2001 Herbert Koch
Daniel Tataru
2
+ Infinite energy solutions of the surface quasi-geostrophic equation 2010 Ángel Castro
Diego CĂłrdoba
2
+ Tracing complex singularities with spectral methods 1983 Catherine Sulem
P. L. Sulem
H. Frisch
2
+ Singular Integral Equations 1977 N. I. Muskhelishvili
2
+ PDF Chat Blow-Up in a Modified Constantin-Lax-Majda Model for the Vorticity Equation 1999 ElĂ­as Wegert
A. S. Vasudeva Murthy
2
+ PDF Chat Energy conservation and Onsager's conjecture for the Euler equations 2008 Alexey Cheskidov
Peter Constantin
Susan Friedlander
Roman Shvydkoy
2
+ Spectral gradient flow and equilibrium configurations of point vortices 2009 Andrea K. Barreiro
Jared C. Bronski
Paul K. Newton
2
+ PDF Chat The heat equation shrinks embedded plane curves to round points 1987 M. Grayson
2
+ On the Role of the Convection Term in the Equations of Motion of Incompressible Fluid 2005 Hisashi Okamoto
Koji Ohkitani
2