Tatsuo IGUCHI (Professor)
Department of Mathematics
Faculty of Science and Technology
Keio University

address: 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, JAPAN
office: 14-541 (Building 14, Room 541)
phone: +81-(0)45-566-1814
Fax: +81-(0)45-566-1642

Japanese Version

Research Interests

• Theory of partial differential equations
• Mathematical analysis for surface waves
• Hyperbolic systems of conservation laws

My Works

1. M. Aiki and T. Iguchi, Motion of a vortex filament with axial flow in the half space, preprint. PDF (257KB)


2. M. Aiki and T. Iguchi, Solvability of an initial-boundary value problem for a second order parabolic system with a third order dispersion term, SIAM J. Math. Anal., 44 (2012), 3388--3411. PDF (234KB)


3. M. Aiki and T. Iguchi, Motion of a vortex filament in the half-space, Nonlinear Analysis, TMA, 75 (2012), 5180--5185. PDF (106KB)


4. T. Iguchi, A mathematical analysis of tsunami generation in shallow water due to seabed deformation, Proc. Roy. Soc. Edinburgh Sect. A., 141 (2011), 551--608. PDF (446KB)


5. T. Iguchi, A shallow water approximation for water waves, J. Math. Kyoto Univ., 49 (2009), 13--55. PDF (272KB)


6. K. Ohi and T. Iguchi, A two-phase problem for capillary-gravity waves and the Benjamin-Ono equation, Discrete Contin. Dyn. Syst., 23 (2009), 1201--1236. PDF (319KB)


7. T. Iguchi, A long wave approximation for capillary-gravity waves and the Kawahara equation, Bull. Inst. Math. Acad. Sin. (N.S.), 2 (2007), 179--220. PDF (259KB)


8. T. Iguchi, A long wave approximation for capillary-gravity waves and an effect of the bottom, Comm. Partial Differential Equations, 32 (2007), 37--85. PDF (315KB)


9. T. Iguchi, A mathematical justification of the forced Korteweg-de Vries equation for capillary-gravity waves, Kyushu J. Math., 60 (2006), 267--303. PDF (236KB)


10. T. Iguchi and P. G. LeFloch, Existence theory for hyperbolic systems of conservation laws with general flux-functions, Arch. Ration. Mech. Anal., 168 (2003), 165--244. PDF (542KB)


11. T. Iguchi, On steady surface waves over a periodic bottom: relations between the pattern of imperfect bifurcation and the shape of the bottom, Wave Motion, 37 (2003), 219--239.


12. T. Iguchi and S. Kawashima, On space-time decay properties of solutions to hyperboic-elliptic coupled systems, Hiroshima Math. J., 32 (2002), 229--308.


13. T. Iguchi, Well-posedness of the initial value problem for capillary-gravity waves, Funkcial. Ekvac., 44 (2001), 219--241.


14. T. Iguchi, On steady irrotational flow of incompressible ideal fluid in a circular domain with free surface, Ann. Univ. Ferrara Sez. VII Sc. Mat., 46 (2000), 35--60.


15. T. Iguchi, N. Tanaka and A. Tani, On a free boundary problem for an incompressible ideal fluid in two space dimensions, Adv. Math. Sci. Appl., 9 (1999), 415--472.


16. T. Iguchi, On the irrotational flow of incompressible ideal fluid in a circular domain with free surface, Publ. Res. Inst. Math. Sci., 34 (1998), 525--565.


17. T. Iguchi, Two-phase problem for two-dimensional water waves of finite depth, Math. Models Meth. Appl. Sci., 7 (1997), 791--821.


18. T. Iguchi, N. Tanaka and A. Tani, On the two-phase free boundary problem for two-dimensional water waves, Math. Ann., 309 (1997), 199--223.


19. T. Iguchi, The incompressible limit and the initial layer of the compressible Euler equation in Rⁿ₊, Math. Meth. in the Appl. Sci., 20 (1997), 945--958.