Papers / 論文

更新日時:2024521日

※ 各論文の日本語での概要については [ こちらへ ]  

Published(査読付き:最新順に記載)

[ 12 ]    Y. Ichida, T.O. Sakamoto,  Classification of nonnegative traveling wave solutions for certain 1D degenerate parabolic equation and porous medium type equation, Discrete Contin. Dyn. Syst., xx (2024), no. x, pp. xxxx -- xxxx. 

                [ Jounal ]  (Doi: 10.3934/dcds.2024030)  available on arXiv: 2304.00802    [ arXiv ]     ※ Corresponding author

[ 11 ]   Y. Ichida, T.O. Sakamoto, Geometric approach to the bifurcation at infinity: A case study,  Qual. Theory Dyn. Syst. 23 (2024), no. 3, Paper No. 109, 24 p.

        [ Journal ]  (Doi: 10.1007/s12346-024-00966-5※ Corresponding author

[ 10 ]    Y. Ichida, Radially symmetric stationary solutions for certain chemotaxis systems in higher dimensions: a geometric approach, Discrete Contin. Dyn. Syst., 43 (2023), no. 5, pp. 1975--2001. 

                [ Journal ]         (Doi: 10.3934/dcds.2022188)   ※ Corresponding author

[ 9 ]    Y. Ichida, Classification of nonnegative traveling wave solutions for the 1D degenerate parabolic equations, Discrete Contin. Dyn. Syst., Ser. B, 28 (2023), no. 2, pp. 1116--1132.

                [ Journal ]         (Doi: 10.3934/dcdsb.2022114)    ※ Corresponding author

[ 8 ]    Y. Ichida, Traveling waves with singularities in a damped hyperbolic MEMS type equation in the presence of negative powers nonlinearity, Electron. J. Differ. Equ, 2023 (2023), no. 5, 1--20.

               [ Journal ]       ※ Corresponding author

[ 7 ]    Y. Ichida, T.O. Sakamoto, Radially symmetric stationary solutions for a MEMS type reaction-diffusion equation with fringing field, Nonlinearity, 36 (2023), no. 1, pp. 71--109.

                [ Journal ]         (Doi: 10.1088/1361-6544/ac9bc3)

[ 6 ]     Y. Ichida, T.O. Sakamoto, Stationary solutions for a 1D pde problem with gradient term and negative powers nonlinearity, J . Elliptic Parabol. Equ, 8 (2022), no. 2, pp. 885--918.

                 [ Journal ]    Doi : 10.1007/s41808-022-00180-x)    ※ Corresponding author

[ 5 ]    Y. Ichida, On global behavior of a some SIR epidemic model based on the Poincar\'e compactification,  JSIAM Lett. 14 (2022), pp. 65--68.

                Open access :   [ Journal ]        (Doi: 10.14495/jsiaml.14.65)        available on arXiv: 2201.05321  [ arXiv ]     ※ Corresponding author

[ 4 ]    Y. Ichida, T.O. Sakamoto, Radial symmetric stationary solutions for a MEMS type reaction-diffusion equation with spatially dependent nonlinearity, Jpn. J. Ind. Appl. Math. 38 (2021), no.1, pp. 297--322.

                [ Journal ]        (Doi: 10.1007/s13160-020-00438-8)

[ 3 ]    Y. Ichida, K. Matsue, T.O. Sakamoto, A refined asymptotic behavior of traveling wave solutions for degenerate nonlinear parabolic equations,  JSIAM Lett. 12 (2020), pp. 65--68

               Open access :  [ Journal ]        (Doi: 10.14495/jsiaml.12.65)        available on arXiv: 2008.00174   [arXiv]     ※ Corresponding author

[ 2 ]    Y. Ichida, T.O. Sakamoto, Traveling wave solutions for degenerate nonlinear parabolic equations, , J. Elliptic Parabol. Equ. 6 (2020), no.2, pp. 795--832.

              [ Journal ]    (Doi : 10.1007/s41808-020-00080-y)    [ Correction ] 

[ 1 ]    Y. Ichida, T. O.  Sakamoto, Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity. Proc. Japan Acad. Ser.A Math Sci. 96 (2020), no.1, pp. 1--6. 

Open access  :  [ Journal ]   (Doi : 10.3792/pjaa.96.001)

Accepted(最新順に記載)

[ 1 ]    Y. Ichida, A characterization of nonnegative stationary solutions for certain 1D degenerate parabolic equations and their applications, to appear in Commun. Pure Appl. Anal. ?? (????), no. ?, ????--????.

        [ Journal ]  (Doi: ???※ Corresponding author

Submitted(最新順に記載)

[ 3 ]    Y. Ichida, S. Motonaga,  Geometric structure of the traveling waves for 1D degenerate parabolic equation, submitted.

[ 2 ]    Y. Ichida, Y. Nakata,  Global dynamics of a simple model for wild and sterile mosquitoes, submitted.

[ 1 ]    Y. Ichida, Classification of weak and unbounded traveling wave solutions for a Porous-Fisher-KPP equation, submitted.

In preparation(最新順に記載)

Preprint(最新順に記載)

[ 3 ]    Y. Ichida, T.O. Sakamoto,  Classification of nonnegative traveling wave solutions for certain 1D degenerate parabolic equation and porous medium equation, arXiv: 2304.00802    [ arXiv ] 

[ 2 ]    Y. Ichida, On global behavior of a some SIR epidemic model based on the Poincar\'e compactification, arXiv: 2201.05321    [arXiv] 

[ 1 ]    Y. Ichida, K. Matsue, T.O. Sakamoto, A refined asymptotic behavior of traveling wave solutions for degenerate nonlinear parabolic equations,  arXiv: 2008.00174   [arXiv] 

査読なし論文や講究録(最新順に記載)

[ 3 ]    市田 優,坂元 孝志,MEMS型反応拡散方程式へのポアンカレ型コンパクト化の応用(偏微分方程式の幾何学的様相),京都大学数理解析研究所講究録(RIMS Kokyuroku) No. 2251 (2023.5),  63--73.     [ HPへ ] 

[ 2 ]    市田 優,無限遠ダイナミクスが導くある走化性方程式系の球対称定常解,第43回発展方程式若手セミナー報告集 (2022),33--40.

[ 1 ]    市田 優,相空間のコンパクト化に基づく空間1次元退化放物型方程式における非負の進行波解の分類,第18回 数学総合若手研究集会:数学の交叉点,Hokkaido University Technical Report Series in Mathematics(北海道大学数学講究録)182 (2022), 737--745.      [ HPへ ] 

商業雑誌における解説・総説など(最新順に記載)

[ 1 ]   市田 優,数式たちは防災している!? 数理モデリング,力学系理論の観点からの防災数学 ,数学セミナー,749号(2024年3月号),日本評論社,15 -- 17.