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川久保 哲

カワクボ サトシ  (Satoshi Kawakubo)

基本情報

所属
兵庫県立大学 大学院 理学研究科 教授
学位
博士(理学)(2000年3月 大阪大学)
修士(理学)(1996年3月 大阪大学)

研究者番号
80360303
J-GLOBAL ID
200901036458180426
researchmap会員ID
5000071040

学歴

 2

論文

 11
  • 川久保哲, 松浦望
    数理解析研究所講究録別冊 B91 13-35 2023年2月  査読有り
  • Satoshi Kawakubo
    Journal of Geometry and Physics 133 242-259 2018年11月  査読有り
  • Satoshi Kawakubo
    JOURNAL OF MATHEMATICAL PHYSICS 55(8) 2014年8月  査読有り
    The Kirchhoff elastic rod is a classical mathematical model of equilibrium configurations of thin elastic rods, and is defined to be a solution of the Euler-Lagrange equations associated to the energy with the effect of bending and twisting. We consider the initial-value problem for the Euler-Lagrange equations in a Riemannian manifold. In a previous paper, the author proved the existence and uniqueness of global solutions of the initial-value problem in the case where the ambient space is a space form. In the present paper, we extend this result to the case where the ambient space is a general complete Riemannian manifold. This implies that an arbitrary Kirchhoff elastic rod of finite length in a complete Riemannian manifold extends to that of infinite length. (C) 2014 AIP Publishing LLC.
  • Satoshi Kawakubo
    JOURNAL OF GEOMETRY AND PHYSICS 76 158-168 2014年2月  査読有り
    We give examples of Kirchhoff rod centerlines in five-dimensional space forms which are fully immersed and not helices. We also show that the natural curvatures of these Kirchhoff rod centerlines are expressed explicitly in terms of Jacobi sn function. (C) 2013 Elsevier B.V. All rights reserved.
  • Satoshi Kawakubo
    OSAKA JOURNAL OF MATHEMATICS 50(4) 921-945 2013年12月  査読有り
    The localized induction hierarchy in three-dimensional space forms is studied. In particular, we determine all the generating curves of congruence solutions to each evolution equation belonging to the localized induction hierarchy. Here, a congruence solution means a solution moving without changing shape. Also, we give the characterization of some low-order soliton curves.

所属学協会

 1

共同研究・競争的資金等の研究課題

 11