Papers


Research Papers (with peer review)

  1. H. Nawa, T. Matsumoto and T. Sakajo, Turbulence as a stochastic process, invited article for Nonlinearity in preparation.
  2. M. S. Nasser, T. Sakajo, A. H. Murid and L. K. Wei, A fast computational method for potential flows in multiply connected coastal domains, submitted.
  3. T. Sakajo and T. Yokoyama, Transition between streamline topologies of structurally stable Hamiltonian flows in multiply connected domains, submitted.
  4. R. Nelson and T. Sakajo, Trapped vortices in multiply connected domains to appear in Fluid Dynamics Research.
  5. T. Sakajo, Y. Sawamura and T. Yokoyama, Unique encoding for streamline topologies of incompressible and inviscid flows in multiply connected domains to appear in Fluid Dynamics Research.
  6. H. Okamoto, T. Sakajo and M. Wunsch, Steady-states and traveling-wave solutions of the generalized Constantin-Lax-Majda equation, Discrete and Continuous Dynamical Systems Series A vol. 34 No. 8 (2014) pp. 3155--3170.
  7. N. Aoyama, T. Sakajo and H. Tanaka, A computational theory for spiral point vortices in multiply connected domains with slit boundaries, Japan Journal of Industrial and Applied Mathematics vol. 30 No. 3 (2013) pp. 485--509. (doi: 10.1007/s13160-013-0113-5)
  8. T. Yokoyama and T. Sakajo, Word representation of streamline topologies for structurally stable vortex flows in multiply connected domains, Proc. Roy. Soc. A vol. 469 (2013) (doi:10.1098/rspa.2012.0558)
  9. T. Sakajo, Instantaneous energy and enstrophy variations in Euler-alpha point vortices via triple collapse, Journal of Fluid Mechanics, 702 (2012) pp. 188-214. (doi:10.1017/jfm.2012.172)
  10. T. Sakajo, Force-enhancing vortex equilibria for two parallel plates in uniform flow, Proc. Roy. Soc. A vol. 468 (2012) pp. 1175--1195. (doi:10.1098/rspa.2011.0617)
  11. T. Sakajo, Fixed equilibria of point vortices in symmetric multiply connected domains, Physica D vol. 241 (2012) pp. 583--599. (doi:10.1016/j.physd.2011.11.021)
  12. T. Sakajo and Y. Amaya, Numerical construction of potential flows in multply connected channel domains, Computational Methods and Function Theory, vol. 11 No. 2 (2011) pp. 415--438.
  13. P. K. Newton and T. Sakajo, Point vortex equilibria and optimal packings of circles on a sphere, Proc. Roy. Soc. A, vol. 467 (2011) pp. 1468--1490. (doi:10.1098/rspa.2010.0368)
  14. K. Ohkitani and T. Sakajo, Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalised viscosity: a numerical study, Nonlineartiy, vol. 23 (2010) pp. 3029--3051.
    Corrigendum: Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity: a numerical study Nonlinearity , vol. 25 (2012) pp. 2181--2202 (doi:10.1088/0951-7715/25/7/2181)
  15. T. Sakajo, Equation of motion for point vortices in multiply connected circular domains Proc. Roy. Soc. A , vol. 465 (2009) pp. 2589--2611. (doi:10.1098/rspa.2009.0070)
  16. T. Sakajo, From generation to chaotic motion of a ring configuration of vortex structures on a sphere, Theoretical and Computational Fluid Dynamics, (2009) (doi: 10.1007/s00162-009-0116-7)
  17. T. Sakajo, An extension of Draghicescu's fast tree-code algorithm to the vortex method on a sphere, Journal of Computational and Applied Mathematics, vol. 225 (2009) pp. 158--171. (doi: 10.1016/j.cam.2008.07.021)
  18. P. K. Newton and T. Sakajo, Point vortex equilibria on the sphere via Brownian rachets, Proc. Roy. Soc. A., vol. 465 (2009) pp. 437--455. (doi:10.1098/rspa.2008.0203)
  19. H. Okamoto, T. Sakajo and M. Wunsch, On a generalization of the Constantin-Lax-Majda equation, Nonlinearity, vol. 21 (2008) pp. 2447-2461.
  20. T. Sakajo, Non self-similar, partial and robust collapse of four point vortices on a sphere, Physical Review E, vol. 78 No. 1 (2008) (doi: 10.1103/PhysRevE.78.016312)
  21. T. Sakajo and K. Yagasaki, Chaotic motion of the N-vortex problem on a sphere: II. Saddle-centers in three-degree-of-freedom Hamiltonians, Physica D, vol. 237 (2008) pp. 2078--2083. (doi:10.1016/j.physd.2008.02.001)
  22. T. Sakajo and K. Yagasaki, Chaotic motion of the N-vortex problem on a sphere: I. Saddle-centers in two-degree-of-freedom Hamiltonians, J. Nonlinear Science , vol. 18 (5) (2008) pp. 485--525. (doi: 10.1007/s00332-008-9019-9)
  23. P. K. Newton and T. Sakajo, The N-vortex problem on a rotating sphere: III. Ring configurations coupled to a background field, Proc. Roy. Soc. A, vol. 463 (2007) pp. 961--977.
  24. T. Sakajo, Integrable four-vortex motion on sphere with zero moment of vorticity, Physics of Fluids, vol. 19 No. 1 (2007) 017109.
  25. T. Sakajo, Erratum: Invariant dynamical systems embedded in the N-vortex problem on a sphere with pole vortices, Physica D, vol. 225 (2007) pp. 235--236.
  26. H. Sato and T. Sakajo, Numerical study of De Gregorio's model for the 3-D vorticity equation, Transactions of the Japan Society for Industrial and Applied Mathematics, vol. 16, (2006) pp. 221-235. (Written in Japanese. )
  27. T. Sakajo, Invariant dynamical systems embedded in the N-vortex problem on a sphere with pole vortices, Physica D, vol. 217 (2006) pp. 142--152.
  28. T. Sakajo, High-dimensional heteroclinic and homoclinic connections in odd point-vortex ring on a sphere, Nonlinearity, vol. 19 (2005) pp. 75--93.
  29. T. Sakajo, Motion of unstable polygonal ring of vortex points on sphere with pole vortices, Proc. IUTAM Kyoto 2004, (2005) pp. 295--302.
  30. E. Kin and T. Sakajo, Efficient topological chaos embedded in the blinking vortex system, Chaos, vol. 15, (2005) 023111.
  31. T. Sakajo, Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices, Physica D, vol. 196, (2004) pp. 243--264.
  32. T. Sakajo, Analytic continuation of the Birkhoff-Rott equation in complex-time domain, European J. Appl. Math., vol. 15 (2004) pp.39--53.
  33. T. Sakajo, Motion of a vortex sheet on a sphere with pole vortices, Physics of Fluids, vol. 16 (2004) pp. 717-727.
  34. T. Sakajo, On global solutions of Constantin-Lax-Majda equation with a generalized viscosity term, Nonlinearity, vol. 16, (2003) pp. 1319--1328.
  35. T. Sakajo, Blow-up solutions of Constantin-Lax-Majda equation with a generalized viscosity term, J. Math. Sci. Univ. Tokyo, vol. 10, (2003) pp. 187--207.
  36. T. Sakajo, Formation of curvature singularity along vortex line in an axi-symmetric, swirling flow, Physics of Fluids, vol. 14 No.8, (2002) pp. 2886--2897.
  37. T. Sakajo, Numerical computation of a three-dimensional vortex sheet with swirl flow, Fluid Dynamics Research, vol.28 No.6, (2001) pp. 423--448.
  38. T. Sakajo, Efficient and fast numerical methods to compute fluid flows in the geostrophical beta plane , Proc. 12th Int'l Conference on Domain Decomposition Methods, (2001) pp.200--205.
  39. T. Sakajo, The motion of three point vortices on a sphere, Japan Journal of Industrial and Applied Mathematics - Area(1), vol. 16 No.3, (1999) pp.321--347.
  40. T. Sakajo and H. Okamoto, The application of PVM to the computation of vortex sheet motion, Gakuto International Series, vol. 11.
  41. T. Sakajo and H.Okamoto, An application of Draghicescu's fast summation method to vortex sheet motion, J. Soc. Phys. Japan, vol. 67 No.2, (1998) pp 462--470.
  42. T. Sakajo, The interactions of two vortex sheets, Adv. Math. Sci. Appl., vol. 8 No.2, (1998) pp.631--662.
  43. T. Sakajo and H. Okamoto, Numerical computation of vortex sheet roll-up in the back ground shear flow, Fluid Dynamics Research vol. 17 (1995), pp 101--119.

RIMS Proceedings

  1. 坂上 貴之, 多重連結領域の点渦力学,
    京都大学数理解析研究所講究録,オイラー方程式の数理:カルマン渦列と非定 常渦運動100年, 1776 (2012), pp.12--27.
  2. 坂上 貴之, 球面点渦相互作用の高速tree-codeアルゴリズム,
    京都大学数理解析研究所講究録 オイラー方程式の数理:渦運動150年 vol. 1642 (2009), pp. 184-196.
  3. 坂上 貴之, Structure of invariant dynamical systems embedded in the N-vortex motion on sphere with pole vortices
    京都大学数理解析研究所講究録 流体と気体の数学解析 vol. 1536 (2007), pp. 109-121.
  4. 坂上 貴之, 球面上にあるN点渦糸環の縮約系について
    京都大学数理解析研究所講究録 力学系の研究 ─ トポロジーと計算機による新展開 vol. 1485 (2006), pp. 86-98.
  5. 森 義仁, 坂上 貴之, 金 英子 流体運動中の化学反応の数理の構築に向けてII〜実験の側面〜
    京都大学数理解析研究所講究録 非線型現象の実験解析と数理解析 vol. 1453 (2005), pp. 59-64.
  6. 金 英子, 坂上 貴之, 森 義仁 流体運動中の化学反応の数理の構築に向けてI〜位相カオスによる効率的粒子混合〜
    京都大学数理解析研究所講究録 非線型現象の実験解析と数理解析 vol. 1453 (2005), pp. 44-58.
  7. T. Sakajo, Analytic properties of Constanin-Lax-Majda equation with a generalized viscosity term
    京都大学数理解析研究所講究録 Rich Pelz's Contribution to Fluid Dynamics vol. 1326 (2003), pp.32-43.
  8. 坂上 貴之, 3次元Navier Stokes方程式に対するある一次元モデル方程式の解の爆発について
    京都大学数理解析研究所講究録 非線形現象の解析:実験と数理解析 vol. 1313 (2003), pp. 1-14.
  9. 坂上 貴之, 軸対称渦層に現れる特異点について
    京都大学数理解析研究所講究録 微分方程式の離散化手法と数値計算アルゴリズム vol. 1265 (2002) pp. 51-61.
  10. 坂上 貴之, 渦運動に対する高速数値計算法
    京都大学数理解析研究所講究録 数値計算における前処理の研究 vol. 1084 (1999) pp.154-176.
  11. T. Sakajo and H.Okamoto, The application of PVM to the computation of vortex sheet motion.
    京都大学数理解析研究所講究録 Domain Decomposition Methods and Related Topics. vol. 989 (1997) pp.158-168.
  12. T. Sakajo and H. Okamoto, An application of Draghicescu's fast summation method to vortex sheet.
    京都大学数理解析研究所講究録 計算流体力学に関わる数理的諸問題 vol. 974 (1996) pp.1-20.
  13. T. Sakajo, Vortex blob method and its application to vortex sheet motion.
    京都大学数理解析研究所講究録 数理流体力学の展望 vol. 922 (1995) pp.99-123.

Conference Proceedings (no peer review)

  1. T. Sakajo, Anomalous enstrophy dissipation via the self-similar triple collapse of the Euler-alpha point vortices , Proc. Sino-Japan conference (2012)
  2. Y. Amaya and T. Sakajo, Charge simulation method for approximating the complex potential in a channel domain with multiple cylindrical islands ,
    Proc. JST Presto symposium on mathematical sciences towards evironmental problems, to appear.
  3. T. Sakajo, Equation of vortex sheet on sphere with a rotating effectg and its long time evolution ,
    Proc. 7th Chiana Japan Seminar on Numerical Mathematics eds. Z.-C. Shi and H. Okamoto , Science Press, Beijing (2005), pp. 254-264.
  4. 坂上 貴之, 極渦のある球面での渦層の運動 ,
    Miyazaki University of Technological Report Series In Applied Mathematical Sciences vol 3 , (2004) pp. 69-80.
  5. T. Sakajo, Numerical computation of a three-dimensional vortex sheet with swirl flow ,
    Proceedings of the first international conference on vortex method Kobe, (1999) pp. 39-47.
  6. 坂上 貴之, 3次元Swirl流中の渦層の運動
    第5回阿波ワークショップ 98 講演論文集, (1998) pp.95-107.
  7. 坂上 貴之, 球面上の3点渦糸系の運動
    第4回阿波ワークショップ 97 講演論文集, (1997) pp.45-58.
  8. 坂上 貴之, 2次元渦層の数値計算について
    大阪工業大学研究集会 「自由境界問題に対する数学解析・数値解析」報告集 (1997) pp.29-42.

Reports, Surveys, Books, etc

  1. 坂上 貴之,「渦運動の数理的諸相」(シリーズ連携する数学:数学連携研究セ ンター刊)共立出版 (2013年3月)
  2. 坂上 貴之,越境する数学「渦の数学が織りなす世界」,岩波出版 (2013年2月28日)
  3. 坂上 貴之,「渦・境界の相互作用が創出するパラダイムシフト」- 数学と諸分野との連携活動のアイデアと数学へのフィードバック- (数学と諸科学との協働の現場からの報告),数学 2013年9月(2012)
  4. 坂上 貴之,数学セミナー6月号「流体現象の理解と数学:私の見方」(数学の見方・考え方) (2012)
  5. 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)
  6. 平岡 裕章, 坂上 貴之, 書評"Computational Homology, 数学 57 巻 第3号 (2005).
  7. 坂上 貴之, Computational Homology:もう一つの数値計算の姿, 応用数理 書評(日本応用数理学会) 15 号 第2巻, pp.96-97 (2005).
  8. 坂上 貴之, 渦層の時間発展と特異点〜それでも渦層は巻き上がる?〜, 物性研究 第 82 号, pp. 1-44 (2004).
  9. 坂上 貴之, 球面渦運動の数理, 2004年度日本数学会秋季分科会 応用数学分科会 予稿集 (2004).
  10. 坂上 貴之, 数学セミナー8月号 数学と出会った頃「私と数学の基本関係」(2001) pp.4.
  11. 皆本 晃弥 坂上 貴之, GIMP/GNUPLOT/Tgifで学ぶグラフィック処理-UNIXグラフィックツール入門- サイエンス社 (1999)

Go back to HOME