論文

採録決定済 (査読有): 27編

1. T. Black, M. Fuest, J. Lankeit, M. Mizukami, Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source, Nonlinear Anal. Real World Appl., Nonlinear Anal. Real World Appl. 73 (2023), Paper No. 103868, 14 pp. 

2. M. Mizukami, Y. Tanaka, T. Yokota, Can chemotactic effects lead to blow-up or not in two-species chemotaxis-competition models?, Z. Angew. Math. Phys. 73 (2022), 25 pp.

3. M. Mizukami, T. Yokota, N. Yoshimiya, Stabilization in a two-species–two-chemicals chemotaxis-competition system with signal-dependent sensitivity, Matematiche (Catania), 76 (2021), 171-191. 

4. Y. Chiyo, M. Mizukami, T. Yokota, Global existence and boundedness in a fully parabolic attraction-repulsion chemotaxis system with signal-dependent sensitivities without logistic source, Electron. J. Differential Equations, 71 (2021), 1-10. 

5. M. Fuest, J. Lankeit, M. Mizukami, Long-term behaviour in a parabolic-elliptic chemotaxis-consumption model, J. Differential Equations, 271, (2021), 254–279. 

6. T. Black, J. Lankeit, M. Mizukami, Stabilization in the Keller–Segel system with signal-dependent sensitivity, Appl. Anal. 99 (2020), 2877-2891.

7. Y. Chiyoda, M. Mizukami, T. Yokota, Finite-time blow-up in a quasilinear degenerate chemotaxis system with flux limitation, Acta. Appl. Math., 167 (2020), 231–259. 

8. Y. Chiyo, M. Mizukami, T. Yokota, Global existence and boundedness in a fully parabolic attraction-repulsion chemotaxis system with signal-dependent sensitivity and logistic source,J. Math. Anal. Appl., 489 (2020), 124153. 

9. M. Mizukami, Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity, Discrete Contin. Dyn. Syst., 13 (2020), 269–278. 

10. M. Mizukami, How strongly does diffusion or logistic-type degradation affect existence of global weak solutions in a chemotaxis-Navier–Stokes system?, Z. Angew. Math. Phys., 70 (2019), 27 pp. 

11. M. Mizukami, T. Ono, T. Yokota, Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation, J. Differential Equations, 267 (2019), 5115–5164.

12. X. Cao, S. Kurima, M. Mizukami, Global existence and asymptotic behavior of classical solutions for a 3D two-species Keller–Segel-Stokes system with competitive kinetics, Funkcial. Ekvac., 62 (2019), 387–408. 

13. T. Black, J. Lankeit, M. Mizukami, A Keller–Segel-fluid system with singular sensitivity: Generalized solutions, Math. Methods Appl. Sci., 42 (2019), 3002–3020.

14. M. Mizukami, The fast signal diffusion limit in a Keller–Segel system, J. Math. Anal. Appl., 472 (2019), 1313–1330.

15. S. Kurima, M. Mizukami, Global weak solutions to a 3-dimensional degenerate and singular chemotaxis-Navier–Stokes system with logistic source, Nonlinear Anal. Real World Appl., 46 (2019), 98–115.

16. T. Black, J. Lankeit, M. Mizukami, Singular sensitivity in a Keller–Segel-fluid system, J. Evol. Equ., 18 (2018), 561–581.

17. M. Mizukami, The fast signal diffusion limit in a chemotaxis system with strong signal sensitivity, Math. Nachr., 291 (2018), 1342–1355.

18. X. Cao, S. Kurima, M. Mizukami, Global existence and asymptotic behavior of classical solutions for a 3D two-species chemotaxis-Stokes system with competitive kinetics, Math. Methods Appl. Sci., 41 (2018), 3138–3154.

19. M. Mizukami, H. Otsuka, T. Yokota, Global existence and boundedness in a chemotaxis-haptotaxis system with signal-dependent sensitivity, J. Math. Anal. Appl., 464 (2018), 354–369.

20. M. Mizukami, Boundedness and stabilization in a two-species chemotaxis-competition system of parabolic-parabolic–elliptic type, Math. Methods Appl. Sci., 41 (2018), 234–249.

21. M. Mizukami, T. Yokota, A unified method for boundedness in fully parabolic chemotaxis systems with signal-dependent sensitivity, Math. Nachr., 290 (2017), 2648–2660.

22. M. Mizukami, Boundedness and asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity, Discrete Contin. Dyn. Syst. Ser. B, 22 (2017), 2301–2319.

23. M. Hirata, S. Kurima, M. Mizukami, T. Yokota, Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier–Stokes system with competitive kinetics, J. Differential Equations, 263 (2017), 470–490.

24. J. Lankeit, M. Mizukami, How far does small chemotactic interaction perturb the Fisher–KPP dynamics?, J. Math. Anal. Appl., 452 (2017), 429–442.

25. M. Mizukami, Remarks on smallness of chemotactic effect for asymptotic stability in a two-species chemotaxis system, AIMS Mathematics, 1 (2016), 156–164.

26. T. Black, J. Lankeit, M. Mizukami, On the weakly competitive case in a two-species chemotaxis model, IMA J. Appl. Math., 81 (2016), 860–876.

27. M. Mizukami, T. Yokota, Global existence and asymptotic stability of solutions to a two-species chemotaxis system with any chemical diffusion, J. Differential Equations, 261 (2016), 2650–2669. 

プロシーディング (査読有): 3編

1. M. Mizukami, Boundedness in a fully parabolic chemotaxis system with signal-dependent sensitivity and logistic term, Proceedings of EQUADIFF 2017 Conference (2017), 61–68.

2. M. Hirata, S. Kurima, M. Mizukami, T. Yokota, Boundedness and stabilization in a three-dimensional two-species chemotaxis-Navier–Stokes system with competitive kinetics, Proceedings of EQUADIFF 2017 Conference (2017), 11–20. 

3. M. Mizukami, Y. Tanaka, Finite-time blow-up in a two-species chemotaxis-competition model with single production, Arch. Math. (Brno), 59 (2023), 215-222. 

投稿中: 1編

1. Chiyo-M., submitted. 

総説 (査読無)

1. 水上雅昭, Existence of global generalized solutions to a Keller–Segel-Stokes system with singular sensitivity, 第 40 回発展方程式若手セミナー報告集 (2018), 217–226.

2. M. Mizukami, Boundedness and convergence to steady states in a two-species chemotaxis system with logistic source, 数理解析研究所講究録, No. 2066 (2018), 94–108.

3. 水上雅昭, How far does small chemotactic interaction perturb the Fisher–KPP dynamics on a bounded domain?, 第 39 回発展方程式若手セミナー報告集 (2017), 193–202.

4. M. Mizukami, Asymptotic stability in a two-species chemotaxis-competition system, 数理解析研究所講究録, No. 2043 (2017), 121–127.

5. 水上雅昭, ロジスティック項をもつ 2 種走化性方程式の大域解の存在と漸近挙動, 第 38 回発展方程式若手セミナー報告集 (2016), 125–134.

学位論文

修士論文: Study of partial differential equations modeling chemotaxis, 95 ページ . 

博士論文 : Studies of two-species chemotaxis-competition systems and related problems, 299 ページ.