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谷口雅治 研究業績一覧 (34件)
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論文
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Masaharu Taniguchi.
Multi-dimensional traveling fronts in bistable reaction-diffusion equations,
The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications,
Discrete and Continuous Dynamical Systems,
Vol. 32,
No. 3,
pp. 1011--1046,
Mar. 2012.
公式リンク
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Masaharu Taniguchi.
Traveling fronts in perturbed multistable reaction-diffusion equations,
Discrete and Continuous Dynamical Systems -- Supplement 2011,
American Institute of Mathematical Sciences,
Volume II,
pp. 1368--1377,
Dec. 2011.
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Yu Kurokawa,
Masaharu Taniguchi.
Multi-dimensional pyramidal traveling fronts in the Allen-Cahn equations,
Proceedings of the Royal Society of Edinburgh: Section A,
Vol. 141,
No. 05,
pp. 1031--1054,
2011.
公式リンク
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Hiroshi Matano,
Mitsunori Nara,
Masaharu Taniguchi.
Stability of planar waves in the Allen-Cahn equation,
Communications in Partial Differential Equations,
Taylor & Francis,
Vol. 34,
No. 9,
pp. 976--1002,
Sept. 2009.
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Masaharu Taniguchi.
The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations,
Journal of Differential Equations,
Elsevier,
Vol. 246,
2103--2130,
Feb. 2009.
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Masaharu Taniguchi.
Traveling fronts of pyramidal shapes in the Allen-Cahn equations,
SIAM Journal on Mathematical Analysis,
Vol. 39,
No. 1,
pp. 319--344,
Aug. 2007.
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Mitsunori Nara,
Masaharu Taniguchi.
The condition on the stability of stationary lines in a curvature flow in the whole plane,
Journal of Differential Equations,
Vol. 237,
No. 1,
pp. 61-76,
Apr. 2007.
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Mitsunori Nara,
Masaharu Taniguchi.
Convergence to V-shaped fronts in curvature flows for spatially non-decaying initial perturbations,
Discrete and Continuous Dynamical Systems,
Vol. 16,
No. 1,
pp. 137ー156,
Sept. 2006.
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Mitsunori Nara,
Masaharu Taniguchi.
Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations,
Discrete and Continuous Dynamical Systems,
Vol. 14,
No. 1,
pp. 203-220,
2006.
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Hirokazu Ninomiya,
Masaharu Taniguchi.
Global stability of traveling curved fronts in the Allen-Cahn equations,
Discrete and Continuous Dynamical Systems,
Vol. 15,
No. 3,
pp. 819ー832,
2006.
公式リンク
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Mitsunori Nara,
Masaharu Taniguchi.
Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations,
Discrete and Continuous Dynamical Systems,
Vol. 14,
No. 1,
pp. 203-220,
2006.
公式リンク
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Hirokazu Ninomiya,
Masaharu Taniguchi.
Existence and global stability of traveling curved fronts in the Allen-Cahn equations,
Journal of Differential Equations,
Vol. 213,
No. 1,
pp. 204-233,
2005.
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Masaharu Taniguchi.
A uniform convergence theorem for singular limit eigenvalue problems,
Advances in Differential Equations,
Vol. 8,
No. 1,
pp. 29-54,
2003.
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Masaharu Taniguchi.
Instability of planar traveling fronts in bistable reaction-diffusion systems,
Discrete and Continuous Dynamical Systems, Ser B,
Vol. 3,
No. 1,
pp. 21-44,
2003.
公式リンク
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H. Ninomiya,
M. Taniguchi.
Stability of traveling curved fronts in a curvature flow with driving force,
Methods and Applications of Analysis,
Vol. 8,
No. 3,
pp. 429--450,
2001.
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H. Ninomiya,
M. Taniguchi.
Traveling curved fronts of a mean curvature flow with constant driving force,
Proceeding of International Conference on: Free Boundary Problems: Theory and Applications I, Mathematical Sciences and Applications, Gakkotosho,
Vol. 13,
pp. 206-221,
2000.
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M. Taniguchi.
Modified SLEP method by uniform convergence theorems for linearized eigenvalue problems,
Proceeding of International Conference on: Free Boundary Problems: Theory and Applications I, Gakkotosho,
Vol. 13,
pp. 369-384,
2000.
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X. Chen,
M. Taniguchi.
Instability of spherical interfaces in a nonlinear free boundary problem,
Advances in Differential Equations,
Vol. 5,
No. 4-6,
pp. 747-772,
2000.
-
M. Taniguchi.
Multiple existence and linear stability of equilibrium balls in a nonlinear free boundary problem,
Quarterly of Applied Mathematics,
Vol. LVIII,
No. 2,
pp. 283-302,
2000.
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Masaharu Taniguchi,
Yasumasa Nishiura.
Stability and characteristic wavelength of planar interfaces in the large diffusion limit of the inhibitor,
Proceedings of the Royal Society of Edinburgh,
Vol. 126A,
pp. 117-145,
1996.
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M. Taniguchi.
A remark on singular perturbation methods via the Lyapunov-Schmidt reduction,
Publications of the Research Institute for Mathematical Sciences Kyoto University,
Vol. 31,
No. 6,
pp. 1001-1010,
1995.
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M. Taniguchi.
Bifurcation from flat-layered solutions to reaction diffusion systems in two space dimensions,
Journal of Mathematical Sciences The University of Tokyo,
Vol. 1,
No. 2,
pp. 339-367,
1994.
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Masaharu Taniguchi,
Yasumasa Nishiura.
Instability of planar interfaces in reaction-diffusion systems,
SIAM Journal on Mathematical Analysis,
Vol. 25,
No. 1,
pp. 99-134,
1994.
著書
国際会議発表 (査読なし・不明)
国内会議発表 (査読なし・不明)
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谷口雅治.
Allen-Cahn方程式における回転非対称な進行波解,
研究集会「拡散と移流の数理」,
Jan. 2011.
-
谷口雅治.
Allen-Cahn方程式における角錐型進行波とその応用,
関数方程式セミナー,
Nov. 2008.
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谷口雅治.
Allen-Cahn方程式における角錐型進行波の一意性と安定性,
日本数学会2008年度秋期総合分科会,
Sept. 2008.
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谷口雅治.
Allen-Cahn方程式における角錐型進行波,
非線形現象の数値シミュレーションと解析2008,
Mar. 2008.
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Masaharu Taniguchi.
Stability of pyramidal traveling fronts in the Allen-Cahn equation,
Workshop on Singularities Arising in Nonlinear Problems 2007,
Nov. 2007.
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谷口雅治.
Allen-Cahn 方程式における多次元進行波,
日本数学会年会,
Mar. 2006.
学位論文
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