Masaharu Taniguchi

  • 3-1-1 Tsushimanaka, Kita-ku

    700-8530 Okayama

    Japan

  • 456 Citations
  • 11 h-Index
19952019
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Research Output 1995 2019

  • 456 Citations
  • 11 h-Index
  • 22 Article
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Article
2019
Travelling Fronts
Reaction-diffusion Equations
Minor
Cross section
Compact Set
2015
21 Citations (Scopus)
Allen-Cahn Equation
Travelling Fronts
Compact Convex Set
Equivalence relation
Principal curvature
2014
12 Citations (Scopus)

Convex compact sets in RN-1 give traveling fronts of cooperation-diffusion systems in RN

Taniguchi, M., Oct 15 2014, (Accepted/In press) In : Journal of Differential Equations.

Research output: Contribution to journalArticle

Travelling Fronts
Compact Convex Set
Equivalence relation
Smooth surface
Strictly Convex
2013

Non-existence of localized travelling waves with non-zero speed in single reaction-diffusion equations

Kim, Y. J., Ni, W. M. & Taniguchi, M., Aug 2013, In : Discrete and Continuous Dynamical Systems. 33, 8, p. 3707-3718 12 p.

Research output: Contribution to journalArticle

Reaction-diffusion Equations
Traveling Wave
Nonexistence
Stationary point
Zero
24 Citations (Scopus)

Traveling fronts of pyramidal shapes in competition-diffusion systems

Ni, W. M. & Taniguchi, M., 2013, In : Networks and Heterogeneous Media. 8, 1, p. 379-395 17 p.

Research output: Contribution to journalArticle

Travelling Fronts
Supersolution
Subsolution
Multiscale Methods
2012
32 Citations (Scopus)

Multi-dimensional traveling fronts in bistable reaction-diffusion equations

Taniguchi, M., Mar 2012, In : Discrete and Continuous Dynamical Systems. 32, 3, p. 1011-1046 36 p.

Research output: Contribution to journalArticle

Travelling Fronts
Reaction-diffusion Equations
Allen-Cahn Equation
Lateral
Face
2011
30 Citations (Scopus)

Multi-dimensional pyramidal travelling fronts in the Allen-Cahn equations

Kurokawa, Y. & Taniguchi, M., Oct 2011, In : Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 141, 5, p. 1031-1054 24 p.

Research output: Contribution to journalArticle

Allen-Cahn Equation
Travelling Fronts
Supersolution
Subsolution
Multiscale Methods
1 Citation (Scopus)

Traveling fronts in perturbed multistable reaction-diffusion equations

Taniguchi, M., Sep 2011, In : Discrete and Continuous Dynamical Systems. SUPPL., p. 1368-1377 10 p.

Research output: Contribution to journalArticle

Travelling Fronts
Reaction-diffusion Equations
Nonexistence
Term
2009
36 Citations (Scopus)

Stability of planar waves in the Allen-Cahn equation

Matano, H., Nara, M. & Taniguchi, M., Sep 2009, In : Communications in Partial Differential Equations. 34, 9, p. 976-1002 27 p.

Research output: Contribution to journalArticle

Allen-Cahn Equation
Asymptotically Stable
Perturbation
Almost Periodic
Asymptotic stability
55 Citations (Scopus)

The uniqueness and asymptotic stability of pyramidal traveling fronts in the Allen-Cahn equations

Taniguchi, M., Mar 1 2009, In : Journal of Differential Equations. 246, 5, p. 2103-2130 28 p.

Research output: Contribution to journalArticle

Allen-Cahn Equation
Travelling Fronts
Asymptotic stability
Asymptotic Stability
Uniqueness
2007
10 Citations (Scopus)

The condition on the stability of stationary lines in a curvature flow in the whole plane

Nara, M. & Taniguchi, M., Jun 1 2007, In : Journal of Differential Equations. 237, 1, p. 61-76 16 p.

Research output: Contribution to journalArticle

Curvature Flow
Heat Equation
Curve
Line
Cauchy Problem
56 Citations (Scopus)

Traveling fronts of pyramidal shapes in the Allen-Cahn equations

Taniguchi, M., 2007, In : SIAM Journal on Mathematical Analysis. 39, 1, p. 319-344 26 p.

Research output: Contribution to journalArticle

Allen-Cahn Equation
Travelling Fronts
Traveling Wave
Waveform
Contour Lines
2006
6 Citations (Scopus)

Convergence to V-shaped fronts in curvature flows for spatially non-decaying initial perturbations

Nara, M. & Taniguchi, M., Sep 2006, In : Discrete and Continuous Dynamical Systems. 16, 1, p. 137-156 20 p.

Research output: Contribution to journalArticle

Curvature Flow
Perturbation
Curve
Long-time Behavior
Driving Force
54 Citations (Scopus)

Global stability of traveling curved fronts in the Allen-Cahn equations

Ninomiya, H. & Taniguchi, M., Jul 2006, In : Discrete and Continuous Dynamical Systems. 15, 3, p. 819-832 14 p.

Research output: Contribution to journalArticle

Allen-Cahn Equation
Asymptotic stability
Global Stability
Subsolution
Supersolution
13 Citations (Scopus)

Stability of a traveling wave in curvature flows for spatially non-decaying initial perturbations

Nara, M. & Taniguchi, M., Jan 2006, In : Discrete and Continuous Dynamical Systems. 14, 1, p. 203-220 18 p.

Research output: Contribution to journalArticle

Curvature Flow
Asymptotic stability
Traveling Wave
Asymptotic Stability
Perturbation
2005
78 Citations (Scopus)

Existence and global stability of traveling curved fronts in the Allen-Cahn equations

Ninomiya, H. & Taniguchi, M., Jun 1 2005, In : Journal of Differential Equations. 213, 1, p. 204-233 30 p.

Research output: Contribution to journalArticle

Allen-Cahn Equation
Asymptotic stability
Global Stability
Supersolution
Subsolution
2003
5 Citations (Scopus)

A uniform convergence theorem for singular limit eigenvalue problems

Taniguchi, M., 2003, In : Advances in Differential Equations. 8, 1, p. 29-54 26 p.

Research output: Contribution to journalArticle

Singular Limit
Uniform convergence
Convergence Theorem
Eigenvalue Problem
Traveling Wave
4 Citations (Scopus)
Bistable System
Reaction-diffusion System
Traveling Wave
Wavelength
Cross section
2000
6 Citations (Scopus)

Instability of spherical interfaces in a nonlinear free boundary problem

Chen, X. & Taniguchi, M., 2000, In : Advances in Differential Equations. 5, 4-6, p. 747-772 26 p.

Research output: Contribution to journalArticle

Phase boundaries
Free Boundary Problem
Ball
Boundary Problem
Eigenvalue Problem
2 Citations (Scopus)
Stability of Equilibria
Linear Stability
Free Boundary Problem
Ball
Bifurcation Point
1996
9 Citations (Scopus)

Stability and characteristic wavelength of planar interfaces in the large diffusion limit of the inhibitor

Taniguchi, M. & Nishiura, Y., Jan 1 1996, In : Royal Society of Edinburgh - Proceedings A. 126, 1, p. 117-145 29 p.

Research output: Contribution to journalArticle

Diffusion Limit
Inhibitor
Wavelength
Tend
Zero
1995
2 Citations (Scopus)
Lyapunov-Schmidt Reduction
Singular Perturbation Method
Equilibrium Solution
Singularly Perturbed
Reaction-diffusion Equations