Research Output per year

## Research Output

## 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 journal › Article

## The blow-up curve of solutions to one dimensional nonlinear wave equations with the Dirichlet boundary conditions

Ishiwata, T. & Sasaki, T., 2019 Jan 1, (Accepted/In press) In : Japan Journal of Industrial and Applied Mathematics.Research output: Contribution to journal › Article

## 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 journal › Article

## 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 journal › Article

## 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 journal › Article

## 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 journal › Article

## On spiral solutions to generalized crystalline motion with a rotating tip motion

Ishiwata, T., 2015 Oct 1, In : Discrete and Continuous Dynamical Systems - Series S. 8, 5, p. 881-888 8 p.Research output: Contribution to journal › Article

## 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. iResearch output: Contribution to journal › Article

## 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 journal › Article

## 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 journal › Article

## 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 journal › Article

## 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 journal › Article

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

Ishiwata, T., 2011 Jun 29, In : Default journal.Research output: Contribution to journal › Article

## Crystalline motion and eventual monotonicity of the shape

Ishiwata, T., 2011 Jul 19, In : T. Ishiwata.Research output: Contribution to journal › Article

## Motion of infinite length polygonal curves by crystalline curvature flow with a driving force

Ishiwata, T., 2011 Feb 7, In : Default journal.Research output: Contribution to journal › Article

## Motion of non-closed planar polygonal curves by crystalline curvature flow with a driving force

Ishiwata, T., 2011 Jan 6, In : Default journal.Research output: Contribution to journal › Article

## Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity

Ishiwata, T., 2011 Sep, In : Discrete and Continuous Dynamical Systems- Series A. SUPPL., p. 717-726 10 p.Research output: Contribution to journal › Article

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

Ishiwata, T., 2011 Aug, In : Discrete and Continuous Dynamical Systems - Series S. 4, 4, p. 865-873 9 p.Research output: Contribution to journal › Article

## 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 journal › Article

## Behavior of solutions to an area-preserving crystalline motion

Ishiwata, T., 2010 Jul 1, In : Proceedings of minisemester on evelution of interfaces, Sapporo 2010,HOKKAIDO UNIVERSITY TECHNICAL REPORT SERIES IN MATHEMATICS. 145, p. 84-88Research output: Contribution to journal › Article

## 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 journal › Article

## Motion of polygonal curved fronts by crystalline motion: V-shaped solutions and eventual monotonicity

Ishiwata, T., 2010 May 26, In : Default journal.Research output: Contribution to journal › Article

## 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 journal › Article

## Area-preserving crystalline curvature flow and its application to negative crystals

Ishiwata, T., 2008 Jan 9, In : Default journal.Research output: Contribution to journal › Article

## Motion of essential admissible polygons by crystalline curvature flow

Ishiwata, T., 2008 May 1, In : Gakuto International Series, Mathematical Sciences and Applications. 29, p. 201-210Research output: Contribution to journal › Article

## 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 proceeding › Chapter

## Motion of non-convex polygons by crystalline curvature and almost convexity phenomena

Ishiwata, T., 2008 Jun, In : Japan Journal of Industrial and Applied Mathematics. 25, 2, p. 233-253 21 p.Research output: Contribution to journal › Article

## On the motion of polygons by crystalline curvature

Ishiwata, T., 2008 Sep 9, In : Default journal.Research output: Contribution to journal › Article

## 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. 107-113Research output: Contribution to journal › Article

## Interface motion of a negative crystal and its analysis

Ishiwata, T., 2007 Oct 22, In : Default journal.Research output: Contribution to journal › Article

## Motion of essential admissible polygons by crystalline curvature

Ishiwata, T., 2007 Nov 29, In : Default journal.Research output: Contribution to journal › Article

## Motion of polygonal curves by crystalline curvature flow and its generalization

Ishiwata, T., 2007 Jul 18, In : Default journal.Research output: Contribution to journal › Article

## Motion of polygons by crystalline curvature

Ishiwata, T., 2007 May 15, In : Default journal.Research output: Contribution to journal › Article

## Numerical study and some remarks on singularities of solutions to anisotropic crystalline curvature flows of nonconvex polygonal curves

Ishiwata, T., Hirota, C. & Yazaki, S., 2007 Jan 1, In : Advanced Studies in Pure Mathematics. 47-2 (2007), p. 543-563Research output: Contribution to journal › Article

## Towards modelling the formation of negative ice crystals or vapor figures produced by freezing of internal melt figures

Ishiwata, T. & Yazaki, S., 2007 Apr 1, In : Default journal. p. 1-11Research output: Contribution to journal › Article

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

Ishiwata, T., 2006 Dec 8, In : Default journal.Research output: Contribution to journal › Article

## Motion of polygonal curves by crystalline curvature

Ishiwata, T., 2006 Sep 10, In : Default journal.Research output: Contribution to journal › Article

## 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. 129-143Research output: Contribution to journal › Article

## Some results on singularities of solutions for an anisotropic cyrstalline curvature flow

Ishiwata, T., Hirota, C. & Yazaki, S., 2005 Jan 1, In : Gakuto International Series, Mathematical Sciences and Applications. 23, p. 119-128Research output: Contribution to journal › Article

## Asymptotic behavior of solutions to an anisotropic crystalline curvature flow

Ishiwata, T. & Yazaki, S., 2004 Dec 8, In : Default journal.Research output: Contribution to journal › Article

## Asymptotic behaviour of solutions to an anisotropic crystalline curvature flow

Ishiwata, T. & Yazaki, S., 2004 Sep 20, In : Default journal.Research output: Contribution to journal › Article

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

Anada, K. & Ishiwata, T., 2004 Jul 1, In : Default journal. XVI, p. 220-225Research output: Contribution to journal › Article

## 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 journal › Article

## Singularities in an anisotropic crystalline curvature flow

Ishiwata, T. & Yazaki, S., 2004 Jul 18, In : Default journal.Research output: Contribution to journal › Article

## Some results on singularities of solutions for an anisotropic cyrstalline curvature flow -- theoritical analysis and numerical approach --

Ishiwata, T. & Yazaki, S., 2004 Dec 2, In : Default journal.Research output: Contribution to journal › Article

## 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 journal › Article

## Asyptotic behaviour of solutions to some anisotropic cyrstalline curvature flow

Ishiwata, T. & Yazaki, S., 2003 Sep 1, In : Default journal.Research output: Contribution to journal › Article

## 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 journal › Article

## Remarks on the Blow-up Rate for Fast Blow-up Solutions arising in an Anisotropic Crystalline Motion

Ishiwata, T. & Yazaki, S., 2003 Jul 7, In : Default journal.Research output: Contribution to journal › Article

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

Ishiwata, T., 2003 Jan 1, In : Default journal. 1313, p. 86-98Research output: Contribution to journal › Article