$BO@J8!&%W%l%W%j%s%H(B(papers & preprints)  $B%[!<%`(B(home) $B%W%l%W%j%s%H(B(preprints) $BO@J8(B(papers)

[3] 02/MAR/10

$B%W%l%W%j%s%H(B (preprints) I. Takagi 1. Kanako Suzuki and Izumi Takagi, On the role of basic production terms in an activator-inhibitor system modeling biological pattern formation 2. Kanako Suzuki and Izumi Takagi, Collapse of patterns and effect of basic production terms in some reaction-diffusion systems S. Okabe 1. Shinya Okabe, The variational problem for a certain action functional defined on planar closed curves. K. Horihata $BO@J8(B (papers)

 ikeda nagasawa nakashima okabe takagi ueyama yamada yanagida

I. Takagi
1. K. Suzuki and I. Takagi, Behavior of solutions to an activator-inhibitor system with basic production terms, Proceedings of the Czech-Japanese Seminar in Applied Mathematics 2008 held at Takachiho/University of Miyazaki, Miyazaki, Japan, September 1--7, 2008, pp. 49--59. 2009
2. K. Watanabe and I. Takagi, Representation formula for the critical points of the Tadjbakhsh-Odeh functional and its application, Japan Journal of Industrial and Applied Mathematics 25 (2008), 331--372.
3. K. Suzuki and I. Takagi, On the role of the source terms in an activator-inhibitor system proposed by Gierer-Meinhardt, Eds. H. Kozono, T. Ogawa, K. Tanaka, Y. Tsutsumi, E. Yanagida, Advanced Studies in Pure Mathematics: Asymptotic Analysis and Singularities 47-2 (2007), 749-766.
4. W.-M. Ni, K. Suzuki and I. Takagi, Determination of the limit sets of trajectories of the Gierer-Meinhardt system without diffusion, Eds. H. Kozono, T. Ogawa, K. Tanaka, Y. Tsutsumi, E. Yanagida, Advanced Studies in Pure Mathematics, Asymptotic Analysis and Singularities 47-2 (2007), 689-708.
5. Khin Phyu Phyu Htoo, Masayasu Mimura and Izumi Takagi, Global solutions to a one-dimensional nonlinear parabolic system modeling colonial formation by chemotactic bacteria, Eds. H. Kozono, T. Ogawa, K. Tanaka, Y. Tsutsumi, E. Yanagida, Advanced Studies in Pure Mathematics, Asymptotic Analysis and Singularities 47-2 (2007), 613-622.
6. Wei-Ming Ni, Kanako Suzuki and Izumi Takagi, The dynamics of a kinetic activator-inhibitor system, J. Differential Equations 229 (2006), 426--465.
H. Ikeda
1. S.-I. Ei, H. Ikeda and T. Kawana, Dynamics of front solutions in a specific reaction-diffusion system in one dimension, Japan J. Indust. Appl. Math. 25 (2008), 117--147.
2. H. Ikeda, Dynamics of weakly interacting front and back waves in three-component systems, Toyama Math. J. 30 (2007), 1--34.
T. Nagasawa
1. Y. Miyamoto, T. Nagasawa and F. Suto, How to unify the total/local length-constraints of the gradient flow for the bending energy of plane curves, Kybernetika 45 (4) (2009), 615--624.
2. Yoshihiko Kohsaka and Takeyuki Nagasawa, On the existence of solutions of the Helfrich flow and its center manifold near spheres, Differential Integral Equations 19 (2006), 121--142.
K. Nakashima
1. Fang Li, Kimie Nakashima and Wei-Ming Ni, Stability from the point of view of diffusion, relaxation and spatial inhomogeneity, Discrete and Continuous Dynamical Systems 20 (2008), 259--275.
2. D. Hilhorst, G. Karali, H. Matano and K. Nakashima, Singular limit of a spatially inhomogeneous Lotka-Volterra competition-diffusion system, Commun. Partial Differential Equations 32 (2007), 879--933.
3. Yihong Du and Kimie Nakashima, Morse index of layered solutions to the heterogeneous Allen-Cahn equation, J. Differential Equations 238 (2007), 87--117.
4. Kimie Nakashima and Tohru Wakasa, Generation of interfaces for Lotka-Volterra competition-diffusion system with large interaction rates, J. Differential Equations 235 (2007), 586--608.
5. Kimie Nakashima, Multi-layered sationary solutions for a spatially inhomogeneous Allen-Cahn equation, J. Differential Equations 191 (2003), 234--276.
S. Okabe
1. Shinya Okabe, The dynamics of an elastic closed curve under uniform high pressure, Calc. Var. Partial Differential Equations 33 (2008), 493--521.
2. Shinya Okabe, Asymptotic form of solutions of the Tadjbakhsh-Odeh variational problem, Advanced Studies in Pure Mathematics 47-2 (2007), Asymptotic Analysis and Singularities -- Elliptic and parabolic PDEs and related problems, 709--728.
3. Shinya Okabe, The motion of elastic planar closed curves under the area-preserving conditon, Indiana Univ. Math. J. 56 (2007), 1871--1912.
D. Ueyama
1. I. Lagzi and D. Ueyama, Pattern transition between periodic Liesegang pattern and crystal growth regime in reaction-diffusion systems, Chemical Physics Letters 468 (2009), pp.188-192. & \quad 10) {\it }\/,
2. H. Shoji, K. Yamada, D. Ueyama and T. Ohta, Turing patterns in three dimensions, Phys. Rev. E 75(4) (2007), 046212.
1. Seiju Ohashi, Tetsuya Shiromizu and Sumio Yamada, Riemannian Penrose inequality and a virtual gravitational collapse, Physical Review E 80 (2009), 047501.1-047501.4.
2. Robert Gulliver and Sumio Yamada, Area density and regularity for soap film-like surfaces spanning graphs, Math. Z. 253 (2006), 315--331.
3. T. Shiromizu, S. Yamada and H. Yoshino, On existence of matter outside a static black hole, J. Math. Phys. 47 (2006), 112502, 8pp.
4. Chikako Mese and Sumio Yamada, The parametrized Steiner problem and the singular Plateau problem via energy, Trans. Amer. Math. Soc. 358 (2006), 2875--2895.
E. Yanagida
1. Shota Sato and Eiji Yanagida, Solutions with moving singularities for a semilinear parabolic equation, J. Differential Equations 246 (2009), 724--748.
2. Polacik and E. Yanagida, Convergence of anisotropically decaying solutions for a supercritical semilinaer heat equation, J. Dyn. Diff. Eqs. 21 (2009), 329--341.
3. S.-I. Ei, H. Ikeda, K. Ikeda and E. Yanagida, Eigenfunctions of the adjoint operator associated with a pulse solution of some reaction-diffusion systems, Bull. Inst. Math. Acad. Sin. (N.S.) 3 (2008), 603-666.
4. M. Fila, M. Winkler and E. Yanagida, Convergence of solutions of a semilinear parabolic equation to selfsimilar solutions of the linear heat equation, Adv. Diff. Eqs. 13 (2008), 1131-1149.
5. M. Hoshino and E. Yanagida, Sharp estimate of the convergence rate for a semilinear parabolic equation with supercritical nonlinearity, Nonlinear Analysis TMA 69(2008), 3136--3152.
6. Eiji Yanagida, Irregular behavior of solutions for Fisher's equation, Dynam. Differential Equations 19 (2007), 895--914.
7. M. Fila, J.R. King, M. Winkler and E. Yanagida, Optimal lower bound of the grow-up rate for a superlinear parabolic equations, J. Differential Equations 228 (2006), 339--356.
8. Yuan Lou and Eiji Yanagida, Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics, Japan J. Indust. Appl. Math. 23 (2006) 275--292.
9. Ryo Ikota and Eiji Yanagida, Stability of stationary interfaces of binary-tree type, Calc. Variations Partial Differentail Equations 409 (2005), 375--389.
10. M. Fila, M. Winkler and E. Yanagida, Convergence rate for a parabolic equation with supercritical nonlinearity, J. Dynam. Differential Equations 17 (2005), 249--269.