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Hirokazu Ninomiya

List of Papers (MathSciNet) (google scholar)


No. Authors, Titles
60 Y.-Y. Chen, H. Ninomiya and C.-H. Wu, “Global existence and uniqueness of solutions for one-dimensional reaction-interface systems”, arXiv:2104.04971
59 Y.Y. Chen, H. Ninomiya and C.H. Wu: Global dynamics on one-dimensional excitable media, SIAM Journal of Mathematical Analysis, 53, No. 6, (2021) pp. 7081--7112 Preprint(PDF)
58 W.D. Martinson, H. Ninomiya, H.M. Byrne, and P.K. Maini, Comparative analysis of continuum angiogenesis models, Journal of mathematical biology, 82-4 (2021), 1-34
57 H. Ninomiya: Entire solutions of the Allen-Cahn-Nagumo equation in a multi-dimensional space, Discrete and continuous dynamical systems. Ser. A, 41-1, (2021), pp. 395-412
56 H. Ninomiya and H. Yamamoto: A reaction-diffusion approximation of a semilinear wave equation, Journal of Differential Equations, 272, (2021), 289-309 Preprint(PDF)
55 H. Monobe and H. Ninomiya, Compact traveling wave for anisotropic curvature with driving force, Transactions of the American Mathematical Society, 374, Number 4, April (2021), pp. 2447-2477 Preprint(PDF)
54 H. Mitake, H. Ninomiya, K. Todoroki: A level set approach for multi-layered interface systems, Interface and free boundaries, 22 (2020), pp. 383-400
53 C. Aida, C.-N. Chen, K. Kuto and H. Ninomiya: Bifurcation from infinity with applications to reaction-diffusion systems, Discrete and continuous dynamical systems. Ser. A, 40-6, (2020) 3031-3055
52 H. Ninomiya and E. Yanagida: Dynamics of interfaces in the Fisher-KPP equation for slowly decaying initial data, Journal of Differential Equations, 267, Issue 8, (2019), pp. 4922-4947
51 C. Bandle, Y. Kabeya and H. Ninomiya: Bifurcating solutions of a nonlinear elliptic Neumann problem on large spherical caps, Funkcialaj Ekvacioj, 62 (2019) 285-317
50 H. Ninomiya: Entire solutions and traveling wave solutions of the Allen-Cahn-Nagumo equation, Discrete and continuous dynamical systems. Ser. A, 39 (2019) 2001-2019
49. R. Lui and H. Ninomiya: Traveling wave solutions for a bacteria system with density-suppressed motility, Discrete and continuous dynamical systems. Ser. B, 24-2 (2019) 931-940. Preprint(PDF)
48. H. Ninomiya, Y. Tanaka and H. Yamamoto: Reaction-diffusion approximation of nonlocal interactions using Jacobi polynomials, Japan J. Indust. Appl. Math. 35 (2018) 613-651, Preprint(PDF)
47. Y.-Y. Chen, J.-S. Guo, H. Ninomiya and C.-H. Yao: Entire solutions originating from monotone fronts to the Allen-Cahn equation, Physica D, 378-379, (2018) 1-19, Preprint(PDF)
46. Y. Tanaka, H. Yamamoto, and H. Ninomiya: Mathematical approach to nonlocal interactions using a reaction‐diffusion system. Development, Growth & Differentiation (2017), 8 pages, DOI: 10.1111/dgd.12354
45. M. Iida, H. Monobe, H. Murakawa and H. Ninomiya: Vanishing, moving and immovable interfaces in fast reaction limits, Journal of Differential Equations 263 (2017): 2715-2735 Preprint(PDF)
44. H. Ninomiya, Y. Tanaka and H. Yamamoto: Reaction, diffusion and non-local interaction, accepted to Journal of Mathematical Biology, 2017, doi:10.1007/s00285-017-1113-x Preprint(PDF)
43. H. Ninomiya and C.-H. Wu: Traveling curved waves in two dimensional excitable media, SIAM J. Mathematical Analysis, Vol. 49, No. 2, (2017) pp. 777--817 Preprint(PDF)
42. Y.-Y. Chen, J.-S. Guo and H. Ninomiya: Existence of rotating spots with spatially dependent feedback in the plane in a wave front interaction model, Journal of Dynamics and Differential Equations 29 (2017): 465-483. Preprint(PDF)
41. H. Monobe and H. Ninomiya: Traveling wave solutions with convex domains for a free boundary problem, Discrete and continuous dynamical systems. Ser. A, Volume 37,, (2017) pp 905--914, doi:10.3934/dcds.2017037
40. Y. Tanaka, M. Mimura and H. Ninomiya: A reaction diffusion model for understanding phyllotactic formation, Japan Journal of Industrial and Applied Mathematics, 33 (2016), pp. 183-205, DOI 10.1007/s13160-015-0202-8
39. Y.-Y. Chen, H. Ninomiya and R. Taguchi: Traveling spots on multi-dimensional excitable media, Journal of Elliptic and Parabolic Equations, 1, (2015) pp. 281-305
38. Y. Kabeya, T. Kawakami, A. Kosaka and H. Ninomiya: Eigenvalues of the Laplace-Beltrami operator on a large spherical cap under the Robin problem. Kodai Mathematical Journal, 37(3), (2014), pp. 620-645
37. H. Monobe and H. Ninomiya: Multiple existence of traveling waves of a free boundary problem describing cell motility, Discrete and continuous dynamical systems. Ser. B 19, Number 3 (2014), pp. 789 - 799
36. Y.-Y. Chen, Y. Kohsaka and H. Ninomiya: Traveling spots and traveling fingers in singular limit problems of reaction-diffusion systems, Discrete and continuous dynamical systems. Ser. B 19, Number 3 (2014), pp. 697 - 714
35. J.S. Guo, H. Ninomiya, M. Shimojo and E. Yanagida: Convergence and blow-up of solutions for a complex-valued heat equation with quadratic nonlinearity, Transactions of the American Mathematical Society, 365, Number 5, May (2013), 2447-2467
34. Y.Y. Chen, J.S. Guo and H. Ninomiya: Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model, Physica D, Volume 241, Issue 20, (October 2012), 1758?1766
33. J.S. Guo. H. Ninomiya and C.C. Wu: Existence of a rotating wave pattern in a disk for a wave front interaction model, Communications on Pure and Applied Analysis 12-2 (2013) 1049?1063
32. M. Iida, R. Lui, and H. Ninomiya: Stacked Fronts for Cooperative Systems with Equal Diffusion Coefficients, SIAM J. Math. Anal. 43, (2011) No. 3, 1369-1389
31. H. Murakawa and H. Ninomiya: Fast reaction limit of a three-component reaction-diffusion system, Journal of Mathematical Analysis and Applications, 379 (2011), , 150-170
30. C. Bandle, Y. Kabeya and H. Ninomiya: Imperfect bifurcations in nonlinear elliptic equations on spherical caps, Communications on Pure and Applied Analysis 9 (2010), 1189-1208
29. J.-S. Guo, H. Ninomiya and J.-C. Tsai: Existence and uniqueness of stabilized propagating wave segments in wave front interaction model, Physica D: Nonlinear Phenomena 239 (2010) 230-239
28. Y. Morita and H. Ninomiya: Monostable-type traveling waves of bistable reaction-diffusion equations in the multi-dimensional space, Bulletin of the Institute of Mathematics. 3 (2008) 567-584
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
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
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
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 Preprint(PDF)
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
22. M. Iida, M. Mimura, and H. Ninomiya: Diffusion, cross-diffusion and competitive interaction. J. Math. Biol. 53 (2006), no. 4, 617-641
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
20. Y. Marutani, H. Ninomiya and R. Weidenfeld: Traveling curved fronts of anisotropic curvature flows, Japan J. Indust. Appl. Math. 23 (2006) 83-104
19. H. Ninomiya and H. F. Weinberger: On p-homogeneous systems of differential equations and their linear perturbations, Applicable Analysis 85 (2006), 225-246
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.
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
16. H. Ninomiya and H. F. Weinberger: Inward linear perturbation can produce unbounded solutions, Math. Methods Appl. Sci. 27 (2004), no. 15, 1815--1818
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
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.
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.
12. 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
11. 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.
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
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
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
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
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　(PDF)
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 (PDF)
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
3. H. Ninomiya: Separatrices of competition-diffusion equations, Journal of Mathematics of Kyoto University 35-3 (1995), 539--567 Preprint(PDF)
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
1. H. Ninomiya: Some remarks on inertial manifolds, Journal of Mathematics of Kyoto University, 32-4 (1992), 667--688

List of survey papers

5 飯田雅人, 二宮広和: 反応拡散近似とその周辺, 数学 66巻3号 (2014): 225-248
4 Y. Morita and H. Ninomiya: Traveling wave solutions and entire solutions to reaction-diffusion equations, SUGAKU Expositions. 23 (2010) No. 2, 213-233
3 D. Hilhorst, M. Mimura, H. Ninomiya: Fast Reaction Limit of Competition-Diffusion Systems. In: C.M. Dafermos and Milan Pokorny, editors: Evolutionary Equations, Vol 5, Handbook of Differential Equations, Hungary: North-Holland (2009), 105--168.
2. 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
1. M. Fila and H. Ninomiya: Reaction versus diffusion: Blow-up induced and inhibited by diffusivity, Russian Mathematical Surveys 60 (2006) 1217-1235


List of Books

2 二宮広和: 侵入・伝播と拡散方程式 (シリーズ・現象を解明する数学), 共立出版 (2014/7/9), ISBN-13: 978-4320110038
1. 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)



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