論文リスト
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V. Duchêne and T. Iguchi,
A mathematical analysis of the Kakinuma model for interfacial gravity waves.
Part I: Structures and well-posedness,
arXiv:2103.12392.
ArXiv
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V. Duchêne and T. Iguchi,
A Hamiltonian structure of the Isobe-Kakinuma model for water waves,
Water Waves, 3 (2021), 193--211.
LINK
ArXiv
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T. Iguchi and D. Lannes,
Hyperbolic free boundary problems and applications to wave-structure interactions,
Indiana Univ. Math. J., 70 (2021), 353--464.
LINK
ArXiv
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T. Iguchi,
Isobe-Kakinuma model for water waves,
Mathematical Analysis of Continuum Mechanics and Industrial Applications III.
CoMFoS 2018. Mathematics for Industry, 34 (2020), 181--191, Springer, Singapore.
LINK
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M. Colin and T. Iguchi,
Solitary wave solutions to the Isobe-Kakinuma model for water waves,
Stud. Appl. Math., 145 (2020), 52--80.
LINK
ArXiv
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M. Aiki and T. Iguchi,
Motion of a vortex filament in an external flow,
Nonlinearity, 32 (2019), 2413--2425.
LINK
ArXiv
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T. Iguchi,
A mathematical justification of the Isobe-Kakinuma model for water waves with and without bottom topography,
J. Math. Fluid Mech., 20 (2018), 1985--2018.
LINK
ArXiv
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R. Nemoto and T. Iguchi,
Solvability of the initial value problem to the Isobe-Kakinuma model for water waves,
J. Math. Fluid Mech., 20 (2018), 631--653.
LINK
ArXiv
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T. Iguchi,
Isobe-Kakinuma model for water waves as a higher order shallow water approximation,
J. Differential Equations, 265 (2018), 935--962.
LINK
ArXiv
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H. Ueno and T. Iguchi,
A mathematical justification of a thin film approximation for the flow down an inclined plane,
J. Math. Anal. Appl., 444 (2016), 804--824.
LINK
ArXiv
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H. Ueno, A. Shiraishi, and T. Iguchi,
Uniform estimates for the flow of a viscous incompressible fluid down an inclined plane
in the thin film regime, J. Math. Anal. Appl., 436 (2016), 248--287.
LINK
ArXiv
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Y. Murakami and T. Iguchi,
Solvability of the initial value problem to a model system for water waves,
Kodai Math. J., 38 (2015), 470--491.
LINK
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H. Fujiwara and T. Iguchi,
A shallow water approximation for water waves over a moving bottom,
Adv. Stud. Pure Math., 64 (2015), 77--88.
LINK
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M. Aiki and T. Iguchi,
Motion of a vortex filament with axial flow in the half space,
Ann. Inst. H. Poincare Anal. Non Lineaire, 31 (2014), 1311--1335.
LINK
ArXiv
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T. Iguchi,
Initial value problem for water waves and shallow water and long wave approximations,
Emerging Topics on Differential Equations and Their Applications, 24--40,
Nankai Ser. Pure Appl. Math. Theoret. Phys., 10, World Sci. Publ., Hackensack, NJ, 2013.
LINK
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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.
LINK
ArXiv
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M. Aiki and T. Iguchi,
Motion of a vortex filament in the half-space,
Nonlinear Analysis, TMA, 75 (2012), 5180--5185.
LINK
ArXiv
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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.
LINK
Research Report
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T. Iguchi,
A shallow water approximation for water waves,
J. Math. Kyoto Univ., 49 (2009), 13--55.
LINK
Research Report
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K. Ohi and T. Iguchi,
A two-phase problem for capillary-gravity waves and
the Benjamin-Ono equation,
Discrete Contin. Dyn. Syst., 23 (2009), 1205--1240.
LINK
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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.
LINK
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T. Iguchi,
A long wave approximation for capillary-gravity waves
and an effect of the bottom,
Comm. Partial Differential Equations, 32 (2007), 37--85.
LINK
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T. Iguchi,
A mathematical justification of the forced Korteweg-de Vries
equation for capillary-gravity waves,
Kyushu J. Math., 60 (2006), 267--303.
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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.
LINK
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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.
LINK
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T. Iguchi and S. Kawashima,
On space-time decay properties of solutions to hyperbolic-elliptic
coupled systems, Hiroshima Math. J., 32 (2002), 229--308.
LINK
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T. Iguchi,
Well-posedness of the initial value problem for capillary-gravity waves,
Funkcial. Ekvac., 44 (2001), 219--241.
LINK
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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.
LINK
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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.
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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.
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T. Iguchi,
Two-phase problem for two-dimensional water waves of finite depth,
Math. Models Meth. Appl. Sci., 7 (1997), 791--821.
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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.
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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.
LINK
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更新日: 2021年10月21日