TETSU MIZUMACHI

Last Updated :2026/06/02

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Professor
E-mail
tetsumhiroshima-u.ac.jp

Basic Information

Academic Degrees

  • The University of Tokyo
  • The University of Tokyo

Research Fields

  • Mathematical and physical sciences;Mathematics;Mathematical analysis

Educational Activity

Course in Charge

  1. 2026, Liberal Arts Education Program1, 3Term, CalculusII
  2. 2026, Liberal Arts Education Program1, 1Term, Introductory Seminar for First-Year Students
  3. 2026, Undergraduate Education, 1Term, Mathematical Analysis
  4. 2026, Undergraduate Education, 3Term, Seminar in Mathematics I
  5. 2026, Undergraduate Education, 4Term, Seminar in Mathematics II
  6. 2026, Graduate Education (Master's Program) , Year, Geometric and Algebraic Analysis Seminar
  7. 2026, Graduate Education (Master's Program) , 3Term, Geometric and Algebraic Analysis B
  8. 2026, Graduate Education (Master's Program) , Year, Exercises in Mathematics
  9. 2026, Graduate Education (Master's Program) , First Semester, Exercises in Mathematics A
  10. 2026, Graduate Education (Master's Program) , Second Semester, Exercises in Mathematics B
  11. 2026, Graduate Education (Master's Program) , Year, Seminar in Mathematics
  12. 2026, Graduate Education (Doctoral Program) , Year, Seminar in Mathematics

Research Activities

Academic Papers

  1. Transverse linear stability of line solitons for 2D Toda, PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 6(6), 20251013
    Link to Paper Search Results by DOI
  2. LINEAR STABILITY OF ELASTIC 2-LINE SOLITONS FOR THE KP-II EQUATION, Quarterly of Applied Mathematics, 82(1), 115-226, 20240301
  3. Stability of benney-luke line solitary waves in 2 dimensions, SIAM Journal on Mathematical Analysis, 52(5), 4238-4283, 20200101
  4. The Phase Shift of Line Solitons for the KP-II Equation, Fields Institute Communications, 83, 433-495, 20190101
  5. Stability of line solitons for the KP-II equation in ℝ2. II, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 148(1), 149-198, 20180201
  6. Asymptotic linear stability of Benney-Luke line solitary waves in 2D, Nonlinearity, 30(9), 3419-3465, 20170807
  7. Stability of line solitons for the KP-II equation in R2, Memoirs of the American Mathematical Society, 238(1125), 1-110, 20151101
  8. $L^2$-stability of solitary waves for the KdV equation via Pego and Weinstein's method (Harmonic Analysis and Nonlinear Partial Differential Equations), RIMS Kokyuroku Bessatsu, 49, 33-63, 201406
  9. Asymptotic stability of solitary waves in the benney-luke model of water waves, Differential and Integral Equations, 26(3-4), 253-301, 20130301
  10. Asymptotic Stability of N-Solitary Waves of the FPU Lattices, Archive for Rational Mechanics and Analysis, 207(2), 393-457, 20130201
  11. On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation, Discrete and Continuous Dynamical Systems - Series S, 5(5), 971-987, 20121001
  12. Bäcklund transformation and L 2-stability of NLS solitons, International Mathematics Research Notices, 2012(9), 2034-2067, 20120507
  13. Stability of the line soliton of the KP-II equation under periodic transverse perturbations, Mathematische Annalen, 352(3), 659-690, 20120301
  14. N-soliton states of the fermi-pasta-ulam lattices, SIAM Journal on Mathematical Analysis, 43(5), 2170-2210, 20111121
  15. Description of the inelastic collision of two solitary waves for the BBM equation, Archive for Rational Mechanics and Analysis, 196(2), 517-574, 20100501
  16. Asymptotic stability of lattice solitons in the energy space, Communications in Mathematical Physics, 288(1), 125-144, 20090501
  17. On asymptotic stability in energy space of ground states for nonlinear Schrödinger equations, Communications in Mathematical Physics, 284(1), 51-77, 20081101
  18. Existence of periodic traveling wave solutions for the Ostrovsky equation, Mathematical Methods in the Applied Sciences, 31(14), 1646-1652, 20080925
  19. Asymptotic stability of Toda lattice solitons, Nonlinearity, 21(9), 2099-2111, 20080901
  20. Asymptotic stability of small solitary waves to 1D nonlinear Schrödinger equations with potential, Kyoto Journal of Mathematics, 48(3), 471-479, 20080101
  21. Instability of vortex solitons for 2D focusing NLS, Advances in Differential Equations, 12(3), 241-264, 20071201
  22. Asymptotic stability of small solitons for 2D nonlinear Schrödinger equations with potential, Kyoto Journal of Mathematics, 47(3), 599-620, 20070101
  23. A remark on linearly unstable standing wave solutions to NLS, Nonlinear Analysis, Theory, Methods and Applications, 64(4), 657-676, 20060215
  24. Instability of bound states for 2D nonlinear Schrödinger equations, Discrete and Continuous Dynamical Systems, 13(2), 413-428, 20050101
  25. Vortex solitons for 2D focusing nonlinear Schrödinger equation, Differential Integral Equations, 18(4), 431-450, 2005
    Link to Paper Search Results by DOI
  26. Weak interaction between solitary waves of the generalized KdV equations, SIAM Journal on Mathematical Analysis, 35(4), 1042-1080, 20040726
  27. Asymptotic stability of solitary wave solutions to the regularized long-wave equation, Journal of Differential Equations, 200(2), 312-341, 20040610
  28. Time decay of small solutions to quadratic nonlinear Schrödinger equations in 3D, Differential Integral Equations, 16(2), 159-179, 2003
  29. Large time asymptotics of solutions around solitary waves to the generalized Korteweg-de Vries equations, SIAM Journal on Mathematical Analysis, 32(5), 1050-1080, 20010101
  30. Time decay of solutions to degenerate Kirchhoff type equation, Nonlinear Analysis, Theory, Methods and Applications, 33(3), 235-252, 19980101
  31. Decay properties of solutions to degenerate wave equations with dissipative terms, Advances in Differential Equations, 2(4), 573-592, 19971201
  32. The asymptotic behavior of solutions to the Kirchhoff equation with a viscous damping term, Journal of Dynamics and Differential Equations, 9(2), 211-247, 19970101

Publications such as books

  1. 2015, Stability of line solitons for the KP-II equation in $\mathbb{R^2}$, We prove nonlinear stability of line soliton solutions of the KP-II equation with respect to transverse perturbations that are exponentially localized as x goes to infinity We find that the amplitude of the line soliton converges to that of the line soliton at initial time whereas jumps of the local phase shift of the crest propagate in a finite speed toward at y equals plus or minus infinity. The local amplitude and the phase shift of the crest of the line solitons are described by a system of 1D wave equations with diffraction terms., Scholarly Book, 英語, Tetsu Mizumachi, 978-1-4704-1424-5 (print); 978-1-4704-2613-2 (online), 102

External Funds

Acceptance Results of Competitive Funds

  1. 2021/04/01, 2026/03/31
  2. KAKENHI(Grant-in-Aid for Scientific Research (C)), 2017, 2020