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## Ishiwata, Tetsuya

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 Author ID: ishiwata.tetsuya Published as: Ishiwata, T.; Ishiwata, Tetsuya
 Documents Indexed: 30 Publications since 1997, including 1 Book
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#### Co-Authors

 9 single-authored 7 Yazaki, Shigetoshi 3 Anada, Kouichi 3 Tsutsumi, Masayoshi 2 Fuwa, Atsushi 2 Hirota, Chiaki 2 Kumazaki, Kota 2 Ushijima, Takeo K. 1 Beneš, Michal 1 Nagayama, Masaharu 1 Nakamura, Ken-Ichi 1 Ohtsuka, Takeshi 1 Sakamoto, Takashi Okuda 1 Sasaki, Takiko 1 Tamura, Norikazu 1 Tsutomu, Ikeda 1 Yagisita, Hiroki
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#### Serials

 4 Japan Journal of Industrial and Applied Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 3 Discrete and Continuous Dynamical Systems 2 Journal of Math-for-Industry 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Proceedings of the Japan Academy. Series A 1 Journal of Computational Mathematics 1 Mathematica Bohemica 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 RIMS Kokyuroku 1 Discrete and Continuous Dynamical Systems. Series B 1 RIMS Kôkyûroku Bessatsu
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#### Fields

 15 Partial differential equations (35-XX) 12 Differential geometry (53-XX) 10 Mechanics of deformable solids (74-XX) 9 Numerical analysis (65-XX) 8 Ordinary differential equations (34-XX) 6 Statistical mechanics, structure of matter (82-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Difference and functional equations (39-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH

16 Publications have been cited 51 times in 30 Documents Cited by Year
On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. Zbl 1033.65055
Ishiwata, Tetsuya; Yazaki, Shigetoshi
2003
Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation. Zbl 1351.35083
2017
Finite difference scheme for the Landau-Lifshitz equation. Zbl 1263.78014
Fuwa, Atsushi; Ishiwata, Tetsuya
2012
Motion of non-convex polygons by crystalline curvature and almost convexity phenomena. Zbl 1155.53033
Ishiwata, Tetsuya
2008
Two examples of nonconvex self-similar solution curves for a crystalline curvature flow. Zbl 1077.53054
Ishiwata, Tetsuya; Ushijima, Takeo K.; Yagisita, Hiroki; Yazaki, Shigetoshi
2004
Regional blow-up of solutions to the initial boundary value problem for $$u_ t=u^ \delta(\Delta u+u)$$. Zbl 0883.35068
Tsutsumi, Masayoshi; Ishiwata, Tetsuya
1997
Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity. Zbl 1306.74039
Ishiwata, Tetsuya
2011
On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect. Zbl 1234.74017
Ishiwata, Tetsuya
2011
Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves. Zbl 1143.35308
Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi
2007
A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm. Zbl 1416.65397
Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo
2018
A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion. Zbl 1282.34042
Ishiwata, Tetsuya; Yazaki, Shigetoshi
2014
Crystalline motion of spiral-shaped polygonal curves with a tip motion. Zbl 1273.82076
Ishiwata, Tetsuya
2014
Some results on singularities of solutions to an anisotropic crystalline curvature flow. Zbl 1163.34340
Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi
2005
Semidiscretization in space of nonlinear degenerate parabolic equations with blow-up of the solutions. Zbl 0971.65083
Ishiwata, Tetsuya; Tsutsumi, Masayoshi
2000
Asymptotic behavior of blow-up solutions to a degenerate parabolic equation. Zbl 1332.35155
2011
A numerical study of blow-up solutions to $$u_t=u^\delta(\Delta u+\mu u)$$. Zbl 0979.65514
Ishiwata, Tetsuya; Tsutsumi, Masayoshi
1997
A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm. Zbl 1416.65397
Anada, Koichi; Ishiwata, Tetsuya; Ushijima, Takeo
2018
Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation. Zbl 1351.35083
2017
A fast blow-up solution and degenerate pinching arising in an anisotropic crystalline motion. Zbl 1282.34042
Ishiwata, Tetsuya; Yazaki, Shigetoshi
2014
Crystalline motion of spiral-shaped polygonal curves with a tip motion. Zbl 1273.82076
Ishiwata, Tetsuya
2014
Finite difference scheme for the Landau-Lifshitz equation. Zbl 1263.78014
Fuwa, Atsushi; Ishiwata, Tetsuya
2012
Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity. Zbl 1306.74039
Ishiwata, Tetsuya
2011
On the motion of polygonal curves with asymptotic lines by crystalline curvature flow with bulk effect. Zbl 1234.74017
Ishiwata, Tetsuya
2011
Asymptotic behavior of blow-up solutions to a degenerate parabolic equation. Zbl 1332.35155
2011
Motion of non-convex polygons by crystalline curvature and almost convexity phenomena. Zbl 1155.53033
Ishiwata, Tetsuya
2008
Numerical study and examples on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves. Zbl 1143.35308
Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi
2007
Some results on singularities of solutions to an anisotropic crystalline curvature flow. Zbl 1163.34340
Hirota, Chiaki; Ishiwata, Tetsuya; Yazaki, Shigetoshi
2005
Two examples of nonconvex self-similar solution curves for a crystalline curvature flow. Zbl 1077.53054
Ishiwata, Tetsuya; Ushijima, Takeo K.; Yagisita, Hiroki; Yazaki, Shigetoshi
2004
On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion. Zbl 1033.65055
Ishiwata, Tetsuya; Yazaki, Shigetoshi
2003
Semidiscretization in space of nonlinear degenerate parabolic equations with blow-up of the solutions. Zbl 0971.65083
Ishiwata, Tetsuya; Tsutsumi, Masayoshi
2000
Regional blow-up of solutions to the initial boundary value problem for $$u_ t=u^ \delta(\Delta u+u)$$. Zbl 0883.35068
Tsutsumi, Masayoshi; Ishiwata, Tetsuya
1997
A numerical study of blow-up solutions to $$u_t=u^\delta(\Delta u+\mu u)$$. Zbl 0979.65514
Ishiwata, Tetsuya; Tsutsumi, Masayoshi
1997
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#### Cited by 39 Authors

 9 Ishiwata, Tetsuya 5 Yazaki, Shigetoshi 3 Giga, Yoshikazu 3 Matsue, Kaname 2 Anada, Kouichi 2 Chen, Jingrun 2 Giga, Mi-Ho 2 Ichida, Yu 2 Kim, Eugenia 2 Sakamoto, Takashi Okuda 2 Seki, Yukihiro 2 Ushijima, Takeo K. 2 Xie, Changjian 1 Biernat, Paweł 1 Cho, Chien-Hong 1 Du, Rui 1 García-Cervera, Carlos J. 1 Ghergu, Marius 1 Hirota, Chiaki 1 Kumazaki, Kota 1 Li, Panchi 1 Lipnikov, Konstantin N. 1 Liu, Qiang 1 Novaga, Matteo 1 Ohtsuka, Takeshi 1 Okamoto, Hisashi 1 Ozawa, Kazufumi 1 Paolini, Maurizio 1 Požár, Norbert 1 Takayasu, Akitoshi 1 Tsai, Yen-Hsi Richard 1 Wang, Cheng 1 Wang, Xiao-Ping 1 Wilkening, Jon A. 1 Winkler, Michael 1 Yagisita, Hiroki 1 Yao, Zhengan 1 Zhou, Wenshu 1 Zhou, Zhennan
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#### Cited in 21 Serials

 3 Journal of Computational Physics 3 Journal of Differential Equations 3 Japan Journal of Industrial and Applied Mathematics 2 Journal of Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Discrete and Continuous Dynamical Systems. Series S 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Journal of Functional Analysis 1 Kybernetika 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the Japan Academy. Series A 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Journal of Scientific Computing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 ETNA. Electronic Transactions on Numerical Analysis 1 JSIAM Letters 1 Journal of Elliptic and Parabolic Equations
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#### Cited in 10 Fields

 18 Partial differential equations (35-XX) 10 Numerical analysis (65-XX) 9 Ordinary differential equations (34-XX) 8 Differential geometry (53-XX) 7 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 2 Optics, electromagnetic theory (78-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX)