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デスクトップ

Papers

プレプリント(Preprints)

  • Y. Ishii, On the effects of advection and network structure in spiky patterns for the Gierer-Meinhardt model, submitted.
     

​査読付き論文(Publications)

  • Y. Ishii, Spiky patterns for the Schnakenberg model with advection term on $Y$-shaped metric graph, J. Math. Anal. Appl. 535(2) (2024) 128149.

  • ​Y. Ishii, Multi-peak solutions for the Schnakenberg model with heterogeneity on star shaped metric graphs, Physica D, 446 (2023) 133679.

  • Y. Ishii, Multi-spike patterns for the Gierer-Meinhardt model with heterogeneity on $Y$-shaped metric graph, J. Dyn. Differ. Equ, (2022), https://doi.org/10.1007/s10884-022-10157-y

  • Y. Ishii, Stability analysis of spike solutions to the Schnakenberg model with heterogeneity on metric graphs, J. Nonlinear Sci., 32(1) (2022) Article: 11.

  • Y. Ishii, The effect of heterogeneity on one-peak stationary solutions to the Schnakenberg model, J. Diff. Eqns., 285(5) (2021) 321-382.

  • Y. Ishii and K. Kurata, Existence of multi-peak solutions to the Schnakenberg model with heterogeneity on metric graphs, Commun. Pure Appl. Anal., 20(4) (2021) 1633-1679.

  • Y. Ishii, Concentration phenomena on $Y$-shaped metric graph for the Gierer-Meinhardt model with heterogeneity, Nonlinear Anal., 205 (2021) 112220.

  • Y. Ishii, Stability of multi-peak symmetric stationary solutions for the Schnakenberg model with periodic heterogeneity, Commun. Pure Appl. Anal., 19(6) (2020) 2965-3031.

  • Y. Ishii and K. Kurata, Existence and stability of one-peak symmetric stationary solutions for the Schnakenberg model with heterogeneity, Discrete Contin. Dyn. Syst., 39(5) (2019) 2807-2875.
     

 

紀要・講究録など(Proceedings)

  • Y. Ishii and K. Kurata, Construction and stability analysis of one-peak symmetric stationary solutions to the Schnakenberg model with heterogeneity, RIMS Kokyuroku, 2146 (2020) 103-116.

  • Y. Ishii, On the one-peak stationary solutions for the Schnakenberg model with heterogeneity, RIMS Kokyuroku, 2166 (2020) 108-112.
     

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