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Research Output 1995 2019

  • 129 Citations
  • 6 h-Index
  • 61 Article
  • 1 Chapter
2019

Evolution of a spiral-shaped polygonal curve by the crystalline curvature flow with a pinned tip

Ishiwata, T. & Ohtsuka, T., 2019 Oct 1, In : Discrete and Continuous Dynamical Systems - Series B. 24, 10, p. 5261-5295 35 p.

Research output: Contribution to journalArticle

Open Access
Crystalline materials
Nucleation
2018

A numerical method of estimating blow-up rates for nonlinear evolution equations by using rescaling algorithm

Anada, K., Ishiwata, T. & Ushijima, T., 2018 Mar 1, In : Japan Journal of Industrial and Applied Mathematics. 35, 1, p. 33-47 15 p.

Research output: Contribution to journalArticle

Invariance
Numerical methods
2017
3 Citations (Scopus)

Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation

Anada, K. & Ishiwata, T., 2017 Jan 5, In : Journal of Differential Equations. 262, 1, p. 181-271 91 p.

Research output: Contribution to journalArticle

Boundary value problems
Boundary conditions

Structure-preserving numerical scheme for a generalized area-preserving crystalline curvature flow

Ishiwata, T. & Yazaki, S., 2017 Jan 1, In : Computer Methods in Materials Science. 17, 2, p. 122-135 14 p.

Research output: Contribution to journalArticle

Crystalline materials
2015

Motion of spiral-shaped polygonal curves by nonlinear crystalline motion with a rotating tip motion

Ishiwata, T., 2015, In : Mathematica Bohemica. 140, 2, p. 111-119 9 p., A111.

Research output: Contribution to journalArticle

Crystalline materials
Screw dislocations
Trajectories
Crystals

Preface: Special issue on recent topics in industrial and applied mathematics

Beneš, M., Ishiwata, T., Sakamoto, T. & Yazaki, S., 2015 Oct 1, In : Discrete and Continuous Dynamical Systems - Series S. 8, 5, p. i

Research output: Contribution to journalArticle

2 Citations (Scopus)

Some features for blow-up solutions of a nonlinear parabolic equation

Anada, K. & Ishiwata, T., 2015, In : IAENG International Journal of Applied Mathematics. 45, 3, p. 175-182 8 p.

Research output: Contribution to journalArticle

2014

A fast blow-Up solution and degenerate pinching arising in an anisotropic crystalline motion

Ishiwata, T. & Yazaki, S., 2014 May, In : Discrete and Continuous Dynamical Systems- Series A. 34, 5, p. 2069-2090 22 p.

Research output: Contribution to journalArticle

Crystalline materials
4 Citations (Scopus)

Crystalline motion of spiral-shaped polygonal curves with a tip motion

Ishiwata, T., 2014 Feb, In : Discrete and Continuous Dynamical Systems - Series S. 7, 1, p. 53-62 10 p.

Research output: Contribution to journalArticle

Crystalline materials
Screw dislocations
Crystals
2012
2 Citations (Scopus)

Finite difference scheme for the Landau-Lifshitz equation

Fuwa, A., Ishiwata, T. & Tsutsumi, M., 2012 Feb, In : Japan Journal of Industrial and Applied Mathematics. 29, 1, p. 83-110 28 p.

Research output: Contribution to journalArticle

Ferromagnetism
Energy dissipation
Energy conservation
2011

Behavior of polygonal curves by crystalline curvature flow with a driving force

Ishiwata, T., 2011 Jun 29, In : Default journal.

Research output: Contribution to journalArticle

Crystalline motion and eventual monotonicity of the shape

Ishiwata, T., 2011 Jul 19, In : T. Ishiwata.

Research output: Contribution to journalArticle

4 Citations (Scopus)
Crystalline materials
5 Citations (Scopus)
Crystalline materials
2010

Asymptotic behavior of blow-up solutions to a degenerate parabolic equation

Anada, K., T.Ishiwata, T. I. & Ishiwata, T., 2010 Aug 31, In : Default journal.

Research output: Contribution to journalArticle

Finite difference scheme for the Ericksen-Leslie equation

T.Ishiwata, T. I., Fuwa, A. & Ishiwata, T., 2010 Aug 31, In : Default journal.

Research output: Contribution to journalArticle

2009

On the motion of polygonal curves by crystalline curvature flow with bulk effect

Ishiwata, T., 2009 Jun 16, In : Default journal.

Research output: Contribution to journalArticle

2008

Motion of non-convex polygon by crystalline curvature flow and its generalization

Ishiwata, T., 2008 Jan 1, Recent Advances in Nonlinear Analysis. World Scientific Publishing Co., p. 125-134 10 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

convexity
polygons
curvature
12 Citations (Scopus)
Crystalline materials

On the motion of polygons by crystalline curvature

Ishiwata, T., 2008 Sep 9, In : Default journal.

Research output: Contribution to journalArticle

2007
48 Citations (Scopus)

Finite difference schemes for Landau-Lifshitz equation

Ishiwata, T., Fuwa, A. & Tsutsumi., M., 2007 Jan 1, In : Proceedings of Czech--Japanese Seminar in Applied Mathematics 2006. p. 107-113

Research output: Contribution to journalArticle

Interface motion of a negative crystal and its analysis

Ishiwata, T., 2007 Oct 22, In : Default journal.

Research output: Contribution to journalArticle

Motion of essential admissible polygons by crystalline curvature

Ishiwata, T., 2007 Nov 29, In : Default journal.

Research output: Contribution to journalArticle

Motion of polygonal curves by crystalline curvature flow and its generalization

Ishiwata, T., 2007 Jul 18, In : Default journal.

Research output: Contribution to journalArticle

Motion of polygons by crystalline curvature

Ishiwata, T., 2007 May 15, In : Default journal.

Research output: Contribution to journalArticle

16 Citations (Scopus)
2006

Motion of polygonal curves by crystalline curvature

Ishiwata, T., 2006 Sep 10, In : Default journal.

Research output: Contribution to journalArticle

Note on the asymptotic behavior of solutions to an anisotropic crystalline curvature flow

Ishiwata, T., Hirota, C. & Yazaki, S., 2006 Jan 1, In : Default journal. p. 129-143

Research output: Contribution to journalArticle

2005
2004

Asymptotic behavior of solutions to an anisotropic crystalline curvature flow

Ishiwata, T. & Yazaki, S., 2004 Dec 8, In : Default journal.

Research output: Contribution to journalArticle

Asymptotic behaviour of solutions to an anisotropic crystalline curvature flow

Ishiwata, T. & Yazaki, S., 2004 Sep 20, In : Default journal.

Research output: Contribution to journalArticle

Classification of Blow-up Solutions for a Nonlinear Parabolic Partial differential Equation

Anada, K. & Ishiwata, T., 2004 Jul 1, In : Default journal. XVI, p. 220-225

Research output: Contribution to journalArticle

Remarks on a type II singularity of solutions for an anisotropic cyrstalline curvature flow

Ishiwata, T. & Yazaki, S., 2004 Jan 24, In : Default journal.

Research output: Contribution to journalArticle

Singularities in an anisotropic crystalline curvature flow

Ishiwata, T. & Yazaki, S., 2004 Jul 18, In : Default journal.

Research output: Contribution to journalArticle

8 Citations (Scopus)

Two examples of nonconvex self-similar solution curves for a crystalline curvature flow

Ishiwata, T., Ushijima, T. K., Yagisita, H. & Yazaki, S., 2004 Oct, In : Proceedings of the Japan Academy Series A: Mathematical Sciences. 80, 8, p. 151-154 4 p.

Research output: Contribution to journalArticle

2003

Asyptotic behaviour of solutions to some anisotropic cyrstalline curvature flow

Ishiwata, T. & Yazaki, S., 2003 Sep 1, In : Default journal.

Research output: Contribution to journalArticle

9 Citations (Scopus)

On the blow-up rate for fast blow-up solutions arising in an anisotropic crystalline motion

Ishiwata, T. & Yazaki, S., 2003 Oct 1, In : Journal of Computational and Applied Mathematics. 159, 1, p. 55-64 10 p.

Research output: Contribution to journalArticle

Crystalline materials

The notes on a fast blow-up solution arising in an anisotropic crystalline motion

Ishiwata, T., 2003 Jan 1, In : Default journal. 1313, p. 86-98

Research output: Contribution to journalArticle

2002

Fast blow-up and degenerate pinching arising in anisotropic crystalline motion

Ishiwata, T. & Yazaki, S., 2002 Dec 6, In : Default journal.

Research output: Contribution to journalArticle