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.