Research Output per year

## Research Output

## 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

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

Ishiwata, T. & Yazaki, S., 2014 May 1, In : Discrete and Continuous Dynamical Systems- Series A. 34, 5, p. 2069-2090 22 p.Research output: Contribution to journal › Article

## Analysis and numerical computation for blowing-up solutions arising in a model of curvature flow

Ishiwata, T., 1999 Jul 5, In : Default journal.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

## A numerical study of blow-up solutions to $u_t=u^{\delta}(\triangle u+\mu u)$

Ishiwata, T., 1995 Dec 19, In : Default journal.Research output: Contribution to journal › Article

## A numerical study of blow-up solutions to $u_t=u^{\delta}(\triangle u+ \mu u)$

Ishiwata, T. & Tsutsumi, M., 1997 Jan 1, In : Gakuto International Series, Mathematical Sciences and Applications. 10, p. 195-207Research 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## Crystalline motion and eventual monotonicity of the shape

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

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

Ishiwata, T., 2014 Feb 1, In : Discrete and Continuous Dynamical Systems - Series S. 7, 1, p. 53-62 10 p.Research output: Contribution to journal › Article

## 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

## 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 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

## Finite difference scheme for the Landau-Lifshitz equation

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

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

Ishiwata, T., 2011 Sep 1, In : Discrete and Continuous Dynamical Systems- Series A. SUPPL., p. 717-726 10 p.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

## Motion of polygonal curves by crystalline curvature

Ishiwata, T., 2006 Sep 10, 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

## 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

## 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

## Numerical studies of blow-up of solutions to a nonlinear degenerateparabolic equations

Ishiwata, T., 1997 Jan 24, In : Default journal.Research output: Contribution to journal › Article

## Numerical studies of blow-up of solutions to some degenerate parabolic equations

Ishiwata, T. & M.Tsutsumi, M. T., 1996 Oct 27, In : Default journal.Research output: Contribution to journal › Article

## Numerical Studies of Blow-up of Solutions to some degenerate parabolic equations II

Ishiwata, T., 1996 Sep 24, 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

## On a fast blow-up solution and a degenerate pinching arising in an anisotropic crystalline motion

Ishiwata, T. & Yazaki, S., 2002 Aug 5, In : Default journal.Research output: Contribution to journal › Article

## On spinning travelling waves that appear in reaction-diffusion systems

Nagayama, M., Ikeda, T., Ishiwata, T. & Tamura, N., 2000 Jan 1, In : Default journal. 1167, p. 13-24Research 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

## 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

## 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

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

Ishiwata, T., 2011 Aug 1, In : Discrete and Continuous Dynamical Systems - Series S. 4, 4, p. 865-873 9 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

## 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

## Regional blow-up of solutions to the initial boundary value problem for u_{t} = u^{δ}(Δu + u)

Tsutsumi, M. & Ishiwata, T., 1997 Jan 1, In : Royal Society of Edinburgh - Proceedings A. 127, 4, p. 871-887 17 p.Research output: Contribution to journal › Article

## Remarks on a blow-up solution arising in an anisotropic crystalline motion

Ishiwata, T. & Yazaki, S., 2001 Dec 3, In : Default journal.Research output: Contribution to journal › Article