投稿論文/国際会議Proceeding(査読付き)

1. M.Bertsch, H.Izuhara, M.Mimura and T.Wakasa,
   "Partially overlapping travelling waves in a parabolic-hyperbolic system",
   Discrete and Continuous Dynamical Systems, Series B, Vol. 28 (2023), no. 12 , pp.5934-5966.
2. Y.Miyamoto H.Takemura and T.Wakasa,
   "Asymptotic formulas of the eigenvalues for the linearization of the scalar field equation", Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2023.
3. S.Aizawa, Y.Miyamoto and T.Wakasa,
   "Asymptotic formulas of the eigenvalues for the linearization of a one-dimensional sinh-Poisson equation", Journal of Elliptic and Parabolic Equations, 2023.
4. J-S.Guo, B-C.Huang, T.Wakasa., C-J.Wang, C-Y. Yu,
   "The structure of stationary solutions to a micro-electro mechanical system with fringing field",
   Journal of Differential Equations, Vol. 269 (2020), no. 9 , pp.7676-7704.
5. M.Bertsch, D.Hilhorst, H.Izuhara, M.Mimura and T.Wakasa,
   "A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic Fisher KPP equation",
   Discrete and Continuous Dynamical Systems, Series A, Vol. 40 (2020), no. 6 , pp.3117-3142.
6. M.Bertsch, H.Izuhara, M.Mimura and T.Wakasa,
   "Standing and travelling waves in a parabolic-hyperbolic system",
   Discrete and Continuous Dynamical Systems, Series A, Vol. 39 (2019), no. 10 , pp.5603-5635.
7. Y.Miyamoto and T.Wakasa,
   "Exact eigenvalues and eigenfunctions for a one dimenional Gel'fand problem", Journal of Mathematical Physics, Vol. 60 , issue 2, 021506(2019).
8. T.Wakasa and S.Yotsutani,
   "Limiting Classification on Linearized Eigenvalue Problems for 1-dimensional Allen-Cahn Equation II -- Asymptotic formulas of eigenfunctions",
   J. Differential Equations, Vol. 261 (2016), no. 10, pp. 5465-5498.
9. M.Bertsch, D.Hilhorst, H.Izuhara, M.Mimura and T.Wakasa,
   "Traveling wave solutions of a parabolic-hyperbolic system for contact inhibition of cell-growth",
   Euro J. Appl. Math, Vol. 26 (2015), no. 3, pp.297-323.
10. T.Wakasa and S.Yotsutani,
    "Limiting Classification on Linearized Eigenvalue Problems for 1-dimensional Allen-Cahn Equation I -- Asymptotic formulas of eigenvalues",
    J. Differential Equations Vol. 258 (2015), no. 11, pp. 3960-4006.
11. M.Bertsch, M.Mimura and T.Wakasa,
    "Modeling contact inhibition of growth: traveling waves",
    Networks and Heterogeneous media, Vol. 8 (2013), no. 1, pp.131-147.
12. N.Konno, T.Machida and T.Wakasa,
    "The Heun differential equation and the Gauss differential equation related to quantum walks",
    Yokohama Math. Journal Vol. 58 (2012), pp. 53-63.
13. T.Wakasa and S.Yotsutani,
    "Asymptotic profiles of eigenfunctions for some 1-dimensional linearized eigenvalue problems",
    Commun. Pure Appl. Anal. 9 (2010), no. 2, pp. 539-561.
14. T.Wakasa,
    "Representation and asymptotic formulas for 1-dimensional linearized eigenvalue problems with Dirichlet boundary condition",
    Nonlinear Analysis Series A: Theory, Methods and Applications, Vol. 71 (2009), no. 12, Special Issues WCNA2008, pp. e2696-e2704.
15. T.Wakasa and S.Yotsutani,
    "Representation formulas for some 1-dimensional linearized eigenvalue problems",
    Commun. Pure Appl. Anal. 7 (2008), pp. 745-763.
16. K.Nakashima and T.Wakasa,
    "Generation of interfaces for Lotka-Volterra competition diffusion system with large interaction rates"(with K.Nakashima),
    J. Differential Equations 235 (2007), no. 2, pp. 586-608.
17. T.Wakasa,
    "Exact eigenvalues and eigenfunctions associated with linearization for Chafee-Infante problem",
    Funkcialaj Ekvacioj 49 (2006), no. 2, pp. 321-336.

紀要論文・報告集など(査読なし)

1. "Eigenvalue problems associated with 1-dimensional scalar field equations",
   実領域における常微分方程式研究の継承と革新, 京都大学数理解析研究所講究録 No. 2080, 京都大学数理解析研究所, pp. 94-105, 2018年8月.
2. "線形化固有値問題の解析と大域的分岐問題への応用",
   応用数学勉強会レクチャーノート, 2017年10月.
3. "Note on parameter dependence of eigenvalues for a linearized eigenvalue problem",
   Bull. Kyushu Inst. Tech. no. 64 (2017), pp.1-12, 2017年3月.
4. "On profiles of critical eigenfunctions for linearized problems of bistable reaction diffusion equations",
   常微分方程式の定性理論の新展開, 京都大学数理解析研究所講究録 No. 1901, 京都大学数理解析研究所, pp. 79-91, 2014年6月.
5. "A classical approach to global bifurcation problems for Lotka-Volterra competition-diffusion system",
   Bull. Kyushu Inst. Tech. no. 61 (2014), pp.7-17, 2014年3月.
6. "Traveling wave solutions of contact-inhibition model of cells",
   非平衡現象の解析における発展方程式理論の新展開, 京都大学数理解析研究所講究録 No. 1856, 京都大学数理解析研究所, pp.131-143, 2013年11月.
7. "反応拡散系への誘い―Turing不安定性を中心に―",
   第34回発展方程式若手セミナー報告集，pp.51-64, 2012年12月.
8. "ある双安定型方程式に対する線形化固有値問題の表現公式と漸近公式",
   Workshop on PDEs and Phenomena in Miyazaki 2008 (PPM2008) 報告集, 宮崎大学工学部, pp.26-40, 2009年5月.
9. "Precise asymptotic results on some linearized eigenvalue problems associated with scalar reaction-diffusion equations",
   Singurarities arising in Nonlinear Problems 2008 (SNP2008) アブストラクト集, pp.19-25, 2008年12月.
10. "Representation and asymptotic formulas for some 1-dimensional linearized eigenvalue problems",
    変分問題とその周辺, 京都大学数理解析研究所講究録 No.1591, 京都大学数理解析研究所, pp.67-87, 2008年4月.
11. "振り子の方程式の線形化問題に対するすべての固有値・固有関数 について",
    第28回発展方程式若手セミナー報告集, 2007年2月．
12. "Chafee-Infante問題の線形化問題における固有値及び固有関数の公式",
    第27回発展方程式若手セミナー報告集， pp.143-148, 2006年2月.
13. "Generation of an interface of competition diffusion systems with large interaction",
    発展方程式と解の漸近解析, 京都大学数理解析研究所講究録 No.1436, 京都大学数理解析研究所, pp.145-154, 2005年6月.
14. "Generation of interfaces to Lotka-Volterra competition diffusion system with large interaction",
    北海道大学数学講究録, 北海道大学, No.89, pp.69-72, 2005年2月．
15. "Generation of corner layer of Lotka-Volterra competition model with large diffusion",
    第26回発展方程式若手セミナー報告集， pp.191-197, 2005年1月.
16. "Gierer-Meinhardt shadow system に現れる定常パターンの安定性と Hopf分岐について",
    第25回発展方程式若手セミナー報告集, pp.64-71, 2004年1月．