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Numerical simulation of flow in fluidized beds
Reduced model from a reaction-diffusion system of collective motion of camphor boats
1. | Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo, 060-0810 |
2. | Department of Mathematical Sciences Based on Modeling and Analysis, Meiji University, Nakano-ku, Tokyo, 164-8525 |
3. | Research Institute for Electronic Science, Hokkaido University / JST CREST, Sapporo, 060-0812, Japan |
4. | Faculty of Engineering, Musashino University / JST CREST, Koto-ku, Tokyo, 135-8181, Japan |
References:
[1] |
M. K. Chaudhury and G. M. Whitesides, How to make water run uphill, Science, 256 (1992), 1539-1541.
doi: 10.1126/science.256.5063.1539. |
[2] |
S.-I. Ei, The motion of weakly interacting pulses in reaction-diffusion systems, J. Dynam. Differential Equations, 14 (2002), 85-137.
doi: 10.1023/A:1012980128575. |
[3] |
S.-I. Ei, M. Mimura and M. Nagayama, Pulse-pulse interaction in reaction-diffusion systems, Physica D, 165 (2002), 176-198.
doi: 10.1016/S0167-2789(02)00379-2. |
[4] |
E. Heisler, N. J. Suematsu, A. Awazu and H. Hiraku, Swarming of self-propelled camphor boats, Physical Review E, 85 (2012), 055201.
doi: 10.1103/PhysRevE.85.055201. |
[5] |
D. Helbing, I. Farkas and T. Vicsek, Simulating dynamical features of escape panic, Nature, 407 (2000), 487-490. |
[6] |
S.-I. Ei, K. Ikeda, M. Nagayama and A. Tomoeda, Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats, Math. Bohem., 139 (2014), 363-371. |
[7] |
M. Inaba, H. Yamanaka and S. Kondo, Pigment pattern formation by contact-dependent depolarization, Science, 335 (2012), 677.
doi: 10.1126/science.1212821. |
[8] |
T. Miura and R. Tanaka, In Vitro vasculogenesis models revisited-measurement of VEGF diffusion in matrigel, Mathematical Modelling of Natural Phenomena, 4 (2009), 118-130.
doi: 10.1051/mmnp/20094404. |
[9] |
M. Nagayama, S. Nakata, Y. Doi and Y. Hayashima, A theoretical and experimental study on the unidirectional motion of a camphor disk, Physica D: Nonlinear Phenomena, 194 (2004), 151-165.
doi: 10.1016/j.physd.2004.02.003. |
[10] |
S. Nakata, Y. Iguchi, S. Ose, M. Kuboyama, T. Ishii and K. Yoshikawa, Self-rotation of a camphor scraping on water: New insight into the old problem, Langmuir, 13 (1997), 4454-4458.
doi: 10.1021/la970196p. |
[11] |
N. J. Suematsu, S. Nakata, A. Awazu and H. Nishimori, Collective behavior of inanimate boats, Physical Review E, 81 (2010), 056210.
doi: 10.1103/PhysRevE.81.056210. |
[12] |
A. Tomoeda, K. Nishinari. D. Chowdhury and A. Schadschneider, An information-based traffic control in a public conveyance system: Reduced clustering and enhanced efficiency, Physica A: Statistical Mechanics and its Applications, 384 (2007), 600-612.
doi: 10.1016/j.physa.2007.05.047. |
[13] |
A. Tomoeda, D. Yanagisawa, T. Imamura and K. Nishinari, Propagation speed of a starting wave in a queue of pedestrians, Physical Review E, 86 (2012), 036113.
doi: 10.1103/PhysRevE.86.036113. |
show all references
References:
[1] |
M. K. Chaudhury and G. M. Whitesides, How to make water run uphill, Science, 256 (1992), 1539-1541.
doi: 10.1126/science.256.5063.1539. |
[2] |
S.-I. Ei, The motion of weakly interacting pulses in reaction-diffusion systems, J. Dynam. Differential Equations, 14 (2002), 85-137.
doi: 10.1023/A:1012980128575. |
[3] |
S.-I. Ei, M. Mimura and M. Nagayama, Pulse-pulse interaction in reaction-diffusion systems, Physica D, 165 (2002), 176-198.
doi: 10.1016/S0167-2789(02)00379-2. |
[4] |
E. Heisler, N. J. Suematsu, A. Awazu and H. Hiraku, Swarming of self-propelled camphor boats, Physical Review E, 85 (2012), 055201.
doi: 10.1103/PhysRevE.85.055201. |
[5] |
D. Helbing, I. Farkas and T. Vicsek, Simulating dynamical features of escape panic, Nature, 407 (2000), 487-490. |
[6] |
S.-I. Ei, K. Ikeda, M. Nagayama and A. Tomoeda, Application of a center manifold theory to a reaction-diffusion system of collective motion of camphor disks and boats, Math. Bohem., 139 (2014), 363-371. |
[7] |
M. Inaba, H. Yamanaka and S. Kondo, Pigment pattern formation by contact-dependent depolarization, Science, 335 (2012), 677.
doi: 10.1126/science.1212821. |
[8] |
T. Miura and R. Tanaka, In Vitro vasculogenesis models revisited-measurement of VEGF diffusion in matrigel, Mathematical Modelling of Natural Phenomena, 4 (2009), 118-130.
doi: 10.1051/mmnp/20094404. |
[9] |
M. Nagayama, S. Nakata, Y. Doi and Y. Hayashima, A theoretical and experimental study on the unidirectional motion of a camphor disk, Physica D: Nonlinear Phenomena, 194 (2004), 151-165.
doi: 10.1016/j.physd.2004.02.003. |
[10] |
S. Nakata, Y. Iguchi, S. Ose, M. Kuboyama, T. Ishii and K. Yoshikawa, Self-rotation of a camphor scraping on water: New insight into the old problem, Langmuir, 13 (1997), 4454-4458.
doi: 10.1021/la970196p. |
[11] |
N. J. Suematsu, S. Nakata, A. Awazu and H. Nishimori, Collective behavior of inanimate boats, Physical Review E, 81 (2010), 056210.
doi: 10.1103/PhysRevE.81.056210. |
[12] |
A. Tomoeda, K. Nishinari. D. Chowdhury and A. Schadschneider, An information-based traffic control in a public conveyance system: Reduced clustering and enhanced efficiency, Physica A: Statistical Mechanics and its Applications, 384 (2007), 600-612.
doi: 10.1016/j.physa.2007.05.047. |
[13] |
A. Tomoeda, D. Yanagisawa, T. Imamura and K. Nishinari, Propagation speed of a starting wave in a queue of pedestrians, Physical Review E, 86 (2012), 036113.
doi: 10.1103/PhysRevE.86.036113. |
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