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メイン＞研究室紹介＞二宮ゼミ＞業績等
業績等：二宮准教授
| 1. |
H. Ninomiya: Some remarks on inertial manifolds, Journal of Mathematics of Kyoto University, 32-4 (1992), 667--688 |
| 2. |
Y. Morita, H. Ninomiya and E. Yanagida: Nonlinear perturbation of boundary values for reaction-diffusion systems: Inertial manifolds and their applications, SIAM Journal on Mathematical Analysis 25-5 (1994), 1320--1356 |
| 3. |
H. Ninomiya: Separatrices of competition-diffusion equations, Journal of Mathematics of Kyoto University 35-3 (1995), 539--567 |
| 4. |
M. Iida and H. Ninomiya: Asymptotic expansion of solutions to a chemical model with boundary reaction terms, Funkcialaj Ekvacioj 39-1 (1996), 39--67 |
| 5. |
M. Mizoguchi, H. Ninomiya, and E. Yanagida: Diffusion-induced blowup in a nonlinear parabolic system, J. Dynamics and Differential Equations 10-3 (1998), 619--638 |
| 6. |
M. Iida, T. Muramatsu, H. Ninomiya, and E. Yanagida: Diffusion-induced extinction of a superior species in a competition system, Japan J. Industrial and Applied Mathematics 15-2 (1998), 233--252 |
| 7. |
N. Mizoguchi, H. Ninomiya, and E. Yanagida: Critical exponent for the multipolar blowup in a semilinear parabolic equation, J. Math. Anal. and Appl. 218 (1998), 495--518 |
| 8. |
H. Ninomiya, and M. Taniguchi: Traveling curved fronts of a mean curvature flow with constant driving force, GAKUTO International Series, Mathematical Sciences and Applications Vol.13 ``FREE BOUNDARY PROBLEMS: Theory and Applications I'' (2000), 206--221 |
| 9. |
D. Hilhorst, M. Iida, M. Mimura and H. Ninomiya: A reaction-diffusion system approximation to the two-phase Stefan problem, Nonlinear Analysis TMA, 47 (2001), 801--812 |
| 10. |
D. Hilhorst, M. Iida, M. Mimura and H. Ninomiya: A competition-diffusion system approximation to the classical two-phase Stefan problem. Recent topics in mathematics moving toward science and engineering. Japan J. Indust. Appl. Math. 18 (2001), no. 2, 161-180 |
| 11. |
Y. Kabeya, H. Morishita, and H. Ninomiya: Imperfect bifurcations arising from elliptic boundary value problems. Nonlinear Anal. 48 (2002), no. 5, Ser. A: Theory Methods, 663--684 |
| 12. |
H. Ninomiya and M. Taniguchi: Stability of traveling curved fronts in a curvature flow with driving force. Methods Appl. Anal. 8 (2001), no. 3, 429--449. |
| 13. |
H. Ninomiya and H. F. Weinberger: Pest control may make the pest population explode. Z. Angew. Math. Phys. 54 (2003), no. 5, 869--873. |
| 14. |
Y. Fukao, Y. Morita, and H. Ninomiya: Some entire solutions of Allen-Cahn equation, Taiwanese Journal of Mathematics, 8 (2004), no. 1, 15--32. |
| 15. |
E. C. M. Crooks, E. N. Dancer, D. Hilhorst, M. Mimura and H. Ninomiya: Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions, Nonlinear Analysis: Real World Applications, 5 (2004), no. 4, 645--665 |
| 16. |
H. Ninomiya and H. F. Weinberger: Inward linear perturbation can produce unbounded solutions, Math. Methods Appl. Sci. 27 (2004), no. 15, 1815--1818 |
| 17. |
H. Ninomiya and M. Taniguchi: Existence and global stability of traveling curved fronts in the Allen-Cahn equations, J. Differential Equations 213 (2005), no. 1, 204--233 |
| 18. |
M. Fila, H. Ninomiya and J. L. Vazquez: Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems, Discrete and continuous dynamical systems 14 (2006), no. 1, 63--74. |
| 19. |
H. Ninomiya and H. F. Weinberger: On p-homogeneous systems of differential equations and their linear perturbations, Applicable Analysis 85 (2006), 225-246 |
| 20. |
Y. Marutani, H. Ninomiya and R. Weidenfeld: Traveling curved fronts of anisotropic curvature flows, Japan J. Indust. Appl. Math. 23 (2006) 83-104 |
| 21. |
H. Ninomiya and M. Taniguchi: Global stability of traveling curved fronts in the Allen-Cahn equations, Discrete and continuous dynamical systems. 15 (2006) No. 3, 819-832 |
| 22. |
M. Iida, M. Mimura, and H. Ninomiya: Diffusion, cross-diffusion and competitive interaction. J. Math. Biol. 53 (2006), no. 4, 617-641 |
| 23. |
X.-F. Chen, J.-S. Guo and H. Ninomiya: Entire solutions of reaction-diffusion equations with balanced bistable nonlinearities, Proceedings of the Royal Society of Edinburgh. Sect. A., 136A (2006) 1207--1237 |
| 24. |
M. Iida and H. Ninomiya: A Reaction-Diffusion Approximation to a Cross-Diffusion System, Recent Advances on Elliptic and Parabolic Issues, eds by M. Chipot and H. Ninomiya. (2006) 145--164 |
| 25. |
Y. Morita and H. Ninomiya: Entire solutions with merging fronts to reaction-diffusion equations. J. Dynam. Differential Equations 18 (2006), no. 4, 841-861 |
| 26. |
X.-F. Chen, J.-S. Guo, F. Hamel, H. Ninomiya, J.- M. Roquejoffre, Traveling waves with paraboloid like interfaces for balanced bistable dynamics, Ann. Inst. H. Poincar? Anal. Non Lin?aire 24 (2007), 369-393 |
| 27. |
D. Hilhorst, M. Iida, M. Mimura and H. Ninomiya: Relative compactness in L^p of solutions of some 2m components competition-diffusion systems, Discrete and continuous dynamical systems. 21 (2008) No. 1, 233-244 |
List of survey papers
| 28. |
M. Fila and H. Ninomiya: Reaction versus diffusion: Blow-up induced and inhibited by diffusivity, Russian Mathematical Surveys 60 (2006) 1217-1235 |
| 29. |
森田 善久，二宮 広和: 反応拡散方程式における進行波解と全域解, 59 巻 3 号 (2007) 数学 225-243 |
List of Books
| 30. |
M. Chipot and H. Ninomiya: Recent Advances on Elliptic and Parabolic Issues, Swiss-Japanese Seminar Zurich, 6-10 December 2004 Switzerland, World Scientific Publishing Co. SINGAPORE (2006) |
List of Proceedings
| 1. |
H. Ninomiya, T. Nishida, Y. Teramoto, and Htay Aung-Win: Surface waves
of viscous fluid down an inclined plane, in "Collection: Developments
in partial differential equations and applications to mathematical physics
(Ferrara, 1991)," (1992) 105 -- 114 |
| 2 |
H. Ninomiya: Inertial manifolds and squeezing properties, Lecture
Notes in Num. Appl. Anal. 12 (Nonlinear PDE-JAPAN Symposium 1991), (1993) 175
-- 202 |
| 3 |
Y. Morita, H. Ninomiya and E. Yanagida: Nonlinear boundary value problem
and inertial manifold, in "International Conference on Differential
Equations, Barcelona 1991", Edited by C. Perello et al (1993), 768--772 |
| 4 |
M. Iida and H. Ninomiya: Nonlinear boundary value problems related
to some chemical reactions on the interface, in "China-Japan Symposium on
Reaction-Diffusion Equations and Their Applications and Computational
Aspects", Edited by T.-T. Li et al (1997), 52--59 |
| 5 |
H. Ninomiya: Separatrices of competition-diffusion equations, in "China-Japan Symposium on Reaction-Diffusion Equations and Their Applications and Computational Aspects", Edited by T.-T. Li et al (1997), 118--125 |
| 6 |
H. Ninomiya: Asymptotic behavior of curves evolving by forced
curvature flows, in “Elliptic and parabolic problems”, Edited by Bemelmans et
al (2002), 175 -- 179, The Fourth European Conference on Elliptic and Parabolic
Problems, June 18-22, 2001 Rolduc (Netherlands) |
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