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Author ID: kobayashi.ryo Recent zbMATH articles by "Kobayashi, Ryo"
Published as: Kobayashi, Ryo; Kobayashi, R.
Documents Indexed: 33 Publications since 1983
Co-Authors: 35 Co-Authors with 26 Joint Publications
543 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 349 times in 275 Documents Cited by Year
Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175
Kobayashi, Ryo
99
1993
A continuum model of grain boundaries. Zbl 0956.35123
Kobayashi, Ryo; Warren, James A.; Carter, W. Craig
44
2000
Rules for biologically inspired adaptive network design. Zbl 1226.90021
Tero, Atsushi; Takagi, Seiji; Saigusa, Tetsu; Ito, Kentaro; Bebber, Dan P.; Fricker, Mark D.; Yumiki, Kenji; Kobayashi, Ryo; Nakagaki, Toshiyuki
32
2010
Equations with singular diffusivity. Zbl 0952.74014
Kobayashi, R.; Giga, Y.
29
1999
Higher-dimensional localized patterns in excitable media. Zbl 0694.35010
Ohta, T.; Mimura, M.; Kobayashi, R.
24
1989
Very singular diffusion equations. Zbl 1002.35074
Giga, Mi-Ho; Giga, Yoshikazu; Kobayashi, Ryo
21
2001
A numerical approach to three-dimensional dendritic solidification. Zbl 0811.65126
Kobayashi, Ryo
20
1994
Decay estimates and large time behavior of solutions to the drift-diffusion system. Zbl 1173.35366
Kobayashi, Ryo; Kawashima, Shuichi
16
2008
On constrained equations with singular diffusivity. Zbl 1058.58006
Giga, Yoshikazu; Kobayashi, Ryo
7
2003
A coupled-oscillator model with a conservation law for the rhythmic amoeboid movements of plasmodial slime molds. Zbl 1079.35039
Tero, A.; Kobayashi, R.; Nakagaki, T.
7
2005
Grain boundary model and singular diffusivity. Zbl 0961.35164
Kobayashi, Ryo; Warren, James A.; Carter, W. Craig
7
2000
On anisotropy and curvature effects for growing crystals. Zbl 0981.35091
Kobayashi, Ryo; Giga, Yoshikazu
7
2001
A mathematical model for adaptive transport network in path finding by true slime mold. Zbl 1450.92052
Tero, Atsushi; Kobayashi, Ryo; Nakagaki, Toshiyuki
7
2007
Mathematical model for rhythmic protoplasmic movement in the true slime mold. Zbl 1098.92007
Kobayashi, Ryo; Tero, Atsushi; Nakagaki, Toshiyuki
7
2006
Stability properties of traveling pulse solutions of the higher dimensional FitzHugh-Nagumo equations. Zbl 0702.35017
Tsujikawa, Tohru; Nagai, Toshitaka; Mimura, Masayasu; Kobayashi, Ryo; Ikeda, Hideo
5
1989
A new application of the phase-field method for understanding the mechanisms of nuclear architecture reorganization. Zbl 1357.92031
Seirin Lee, S.; Tashiro, S.; Awazu, A.; Kobayashi, R.
4
2017
Stationary solutions to the drift-diffusion model in the whole spaces. Zbl 1173.78301
Kobayashi, Ryo; Kurokiba, Masaki; Kawashima, Shuichi
2
2009
FORTRAN program for a numerical solution of the nonsinglet Altarelli-Parisi equation. Zbl 0873.65127
Kobayashi, R.; Konuma, M.; Kumano, S.
2
1995
Computational ability of cells based on cell dynamics and adaptability. Zbl 1192.68653
Nakagaki, Toshiyuki; Tero, Atsushi; Kobayashi, Ryo; Onishi, Isamu; Miyaji, Tomoyuki
2
2009
Modeling of grain structure evolution. Zbl 1205.74024
Kobayashi, R.
1
2001
A new mathematical model for pattern formation by cranial sutures. Zbl 1352.92020
Yoshimura, Kenji; Kobayashi, Ryo; Ohmura, Tomohisa; Kajimoto, Yoshinaga; Miura, Takashi
1
2016
A mathematical one-dimensional one-phase model of supercooling solidification. Zbl 0588.35047
Kobayashi, Ryo
1
1983
Dynamics of aggregating patterns in a chemotaxis-diffusion-growth model equation. Zbl 1003.92502
Mimura, Masayasu; Tsujikawa, Tohru; Kobayashi, Ryo; Ueyama, Daishin
1
1993
Crystallization and vitrification of electrons in a glass-forming charge liquid. Zbl 1404.82075
Sasaki, S.; Hashimoto, K.; Kobayashi, R.; Itoh, K.; Iguchi, S.; Nishio, Y.; Ikemoto, Y.; Moriwaki, T.; Yoneyama, N.; Watanabe, M.; Ueda, A.; Mori, H.; Kobayashi, K.; Kumai, R.; Murakami, Y.; Müller, J.; Sasaki, T.
1
2017
A mathematical model of cleavage. Zbl 1406.92043
Akiyama, Masakazu; Tero, Atsushi; Kobayashi, Ryo
1
2010
Asymptotic stability of stationary solutions to the drift-diffusion model in the whole space. Zbl 1262.35036
Kobayashi, Ryo; Yamamoto, Masakazu; Kawashima, Shuichi
1
2012
A new application of the phase-field method for understanding the mechanisms of nuclear architecture reorganization. Zbl 1357.92031
Seirin Lee, S.; Tashiro, S.; Awazu, A.; Kobayashi, R.
4
2017
Crystallization and vitrification of electrons in a glass-forming charge liquid. Zbl 1404.82075
Sasaki, S.; Hashimoto, K.; Kobayashi, R.; Itoh, K.; Iguchi, S.; Nishio, Y.; Ikemoto, Y.; Moriwaki, T.; Yoneyama, N.; Watanabe, M.; Ueda, A.; Mori, H.; Kobayashi, K.; Kumai, R.; Murakami, Y.; Müller, J.; Sasaki, T.
1
2017
A new mathematical model for pattern formation by cranial sutures. Zbl 1352.92020
Yoshimura, Kenji; Kobayashi, Ryo; Ohmura, Tomohisa; Kajimoto, Yoshinaga; Miura, Takashi
1
2016
Asymptotic stability of stationary solutions to the drift-diffusion model in the whole space. Zbl 1262.35036
Kobayashi, Ryo; Yamamoto, Masakazu; Kawashima, Shuichi
1
2012
Rules for biologically inspired adaptive network design. Zbl 1226.90021
Tero, Atsushi; Takagi, Seiji; Saigusa, Tetsu; Ito, Kentaro; Bebber, Dan P.; Fricker, Mark D.; Yumiki, Kenji; Kobayashi, Ryo; Nakagaki, Toshiyuki
32
2010
A mathematical model of cleavage. Zbl 1406.92043
Akiyama, Masakazu; Tero, Atsushi; Kobayashi, Ryo
1
2010
Stationary solutions to the drift-diffusion model in the whole spaces. Zbl 1173.78301
Kobayashi, Ryo; Kurokiba, Masaki; Kawashima, Shuichi
2
2009
Computational ability of cells based on cell dynamics and adaptability. Zbl 1192.68653
Nakagaki, Toshiyuki; Tero, Atsushi; Kobayashi, Ryo; Onishi, Isamu; Miyaji, Tomoyuki
2
2009
Decay estimates and large time behavior of solutions to the drift-diffusion system. Zbl 1173.35366
Kobayashi, Ryo; Kawashima, Shuichi
16
2008
A mathematical model for adaptive transport network in path finding by true slime mold. Zbl 1450.92052
Tero, Atsushi; Kobayashi, Ryo; Nakagaki, Toshiyuki
7
2007
Mathematical model for rhythmic protoplasmic movement in the true slime mold. Zbl 1098.92007
Kobayashi, Ryo; Tero, Atsushi; Nakagaki, Toshiyuki
7
2006
A coupled-oscillator model with a conservation law for the rhythmic amoeboid movements of plasmodial slime molds. Zbl 1079.35039
Tero, A.; Kobayashi, R.; Nakagaki, T.
7
2005
On constrained equations with singular diffusivity. Zbl 1058.58006
Giga, Yoshikazu; Kobayashi, Ryo
7
2003
Very singular diffusion equations. Zbl 1002.35074
Giga, Mi-Ho; Giga, Yoshikazu; Kobayashi, Ryo
21
2001
On anisotropy and curvature effects for growing crystals. Zbl 0981.35091
Kobayashi, Ryo; Giga, Yoshikazu
7
2001
Modeling of grain structure evolution. Zbl 1205.74024
Kobayashi, R.
1
2001
A continuum model of grain boundaries. Zbl 0956.35123
Kobayashi, Ryo; Warren, James A.; Carter, W. Craig
44
2000
Grain boundary model and singular diffusivity. Zbl 0961.35164
Kobayashi, Ryo; Warren, James A.; Carter, W. Craig
7
2000
Equations with singular diffusivity. Zbl 0952.74014
Kobayashi, R.; Giga, Y.
29
1999
FORTRAN program for a numerical solution of the nonsinglet Altarelli-Parisi equation. Zbl 0873.65127
Kobayashi, R.; Konuma, M.; Kumano, S.
2
1995
A numerical approach to three-dimensional dendritic solidification. Zbl 0811.65126
Kobayashi, Ryo
20
1994
Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175
Kobayashi, Ryo
99
1993
Dynamics of aggregating patterns in a chemotaxis-diffusion-growth model equation. Zbl 1003.92502
Mimura, Masayasu; Tsujikawa, Tohru; Kobayashi, Ryo; Ueyama, Daishin
1
1993
Higher-dimensional localized patterns in excitable media. Zbl 0694.35010
Ohta, T.; Mimura, M.; Kobayashi, R.
24
1989
Stability properties of traveling pulse solutions of the higher dimensional FitzHugh-Nagumo equations. Zbl 0702.35017
Tsujikawa, Tohru; Nagai, Toshitaka; Mimura, Masayasu; Kobayashi, Ryo; Ikeda, Hideo
5
1989
A mathematical one-dimensional one-phase model of supercooling solidification. Zbl 0588.35047
Kobayashi, Ryo
1
1983
all top 5

Cited by 545 Authors

9 Giga, Yoshikazu
9 Yamamoto, Masakazu
8 Shirakawa, Ken
7 Bonifaci, Vincenzo
6 Deng, Yong
6 Kobayashi, Ryo
6 Rybka, Piotr
5 Miranville, Alain M.
5 Moll, Salvador
5 Sugiyama, Yuusuke
5 Zhang, Xiaoge
4 Adamatzky, Andrew I.
4 Facca, Enrico
4 Ham, YoonMee
4 Nestler, Britta
4 Osher, Stanley Joel
4 Watanabe, Hiroshi
4 Xiang, Yang
4 Yamazaki, Noriaki
4 Yang, Xiaofeng
3 Chen, Yaoyao
3 Garcke, Harald
3 Hu, Yong
3 Huang, Yunqing
3 Kubota, Shodai
3 Lee, Hyun Geun
3 Liu, Chun
3 Mahadevan, Sankaran
3 Mehlhorn, Kurt
3 Mucha, Piotr Bogusław
3 Ninomiya, Hirokazu
3 Röckner, Michael
3 Shyy, Wei
3 Takaki, Tomohiro
3 Tan, Zhong
3 Taylor, Jean Ellen
3 Yazaki, Shigetoshi
3 Yi, Nianyu
3 Zhang, Luchan
2 Al-Rawahi, Nabeel
2 Antil, Harbir
2 Barbu, Viorel
2 Barrett, John W.
2 Burman, Erik
2 Cahn, John W.
2 Cardin, Franco
2 Cartalade, Alain
2 Caselles Costa, Vicent
2 Chan, Felix T. S.
2 Chen, Chuanjun
2 Chen, Susan
2 Chen, Xinfu
2 Chen, Yanyu
2 Diaz Diaz, Jesus Ildefonso
2 Dimitrov, Slav
2 Ei, Shin-Ichiro
2 Ekhlakov, Alexander
2 Fedkiw, Ronald P.
2 Gao, Chao
2 Giacomelli, Lorenzo
2 Giga, Mi-Ho
2 Göttlich, Simone
2 Heider, Yousef
2 Hoppe, Ronald H. W.
2 Hughes, Thomas J. R.
2 Ishiwata, Tetsuya
2 Jimack, Peter K.
2 Jüngel, Ansgar
2 Karma, Alain
2 Kimura, Masato
2 Kitamura, Mitsuru
2 Korzec, Maciek D.
2 Langhoff, Tom-Alexander
2 Lee, June-Yub
2 Markert, Bernd
2 McFadden, Geoffrey Bey
2 Merriman, Barry
2 Mullis, Andrew M.
2 Nakagaki, Toshiyuki
2 Nishi, Kei
2 Nishiura, Yasumasa
2 Nishiwaki, Shinji
2 Nürnberg, Robert
2 Pahari, Basanta R.
2 Picasso, Marco
2 Putti, Mario
2 Qin, Xiaoxue
2 Rojas, Roberto G.
2 Roper, Marcus
2 Shen, Jie
2 Shirakawa, Tomohiro
2 Steinbach, Ingo
2 Takezawa, Akihiro
2 Tang, Yangxin
2 Teramoto, Takashi
2 Tero, Atsushi
2 Tryggvason, Grétar
2 Udaykumar, Holavanahalli S.
2 Varma, Girish
2 Wang, Yong
...and 445 more Authors
all top 5

Cited in 108 Serials

35 Journal of Computational Physics
16 Physica D
9 Computers & Mathematics with Applications
9 Computer Methods in Applied Mechanics and Engineering
9 Journal of Computational and Applied Mathematics
7 Journal of Mathematical Biology
7 Journal of Differential Equations
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Journal of Theoretical Biology
5 Journal of the Mechanics and Physics of Solids
5 Japan Journal of Industrial and Applied Mathematics
5 Chaos
4 Journal of Mathematical Analysis and Applications
4 Mathematische Annalen
4 Applied Mathematical Modelling
4 SIAM Journal on Applied Mathematics
4 Discrete and Continuous Dynamical Systems. Series B
3 Archive for Rational Mechanics and Analysis
3 International Journal of General Systems
3 Mathematical Methods in the Applied Sciences
3 Computational Mechanics
3 Calculus of Variations and Partial Differential Equations
3 Natural Computing
3 Communications in Computational Physics
3 Discrete and Continuous Dynamical Systems. Series S
2 Computers and Fluids
2 Communications on Pure and Applied Mathematics
2 Journal of Statistical Physics
2 Nonlinearity
2 Physica A
2 Mathematics of Computation
2 Applied Mathematics and Computation
2 International Journal for Numerical Methods in Engineering
2 Journal of Optimization Theory and Applications
2 Numerische Mathematik
2 Transactions of the American Mathematical Society
2 Applications of Mathematics
2 Proceedings of the National Academy of Sciences of the United States of America
2 SIAM Journal on Mathematical Analysis
2 Journal of Nonlinear Science
2 Communications in Numerical Methods in Engineering
2 Soft Computing
2 Annales Henri Poincaré
2 Journal of Evolution Equations
2 Physical Review E. Third Series
2 Advances in Nonlinear Analysis
1 International Journal of Modern Physics B
1 International Journal of Engineering Science
1 International Journal for Numerical Methods in Fluids
1 Journal of Fluid Mechanics
1 Mathematical Biosciences
1 Physics Reports
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Bulletin of Mathematical Biology
1 Chaos, Solitons and Fractals
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Automatica
1 Calcolo
1 Journal of Functional Analysis
1 Kybernetika
1 Proceedings of the American Mathematical Society
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Studies in Applied Mathematics
1 Theoretical Computer Science
1 Chinese Annals of Mathematics. Series B
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Applied Numerical Mathematics
1 Algorithmica
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 European Journal of Applied Mathematics
1 Annals of Operations Research
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Computational Optimization and Applications
1 SIAM Journal on Scientific Computing
1 Physics of Fluids
1 Annales Mathématiques Blaise Pascal
1 Advances in Computational Mathematics
1 Engineering Analysis with Boundary Elements
1 Discrete and Continuous Dynamical Systems
1 Mathematical Problems in Engineering
1 Nonlinear Dynamics
1 Optimization Methods & Software
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Mathematical and Computer Modelling of Dynamical Systems
1 European Journal of Mechanics. A. Solids
1 Nonlinear Analysis. Real World Applications
1 Communications on Pure and Applied Analysis
1 Multiscale Modeling & Simulation
1 Structural and Multidisciplinary Optimization
1 International Journal of Computational Methods
1 Mediterranean Journal of Mathematics
1 Journal of Statistical Mechanics: Theory and Experiment
1 Mathematical Biosciences and Engineering
1 Advances in Mathematical Physics
...and 8 more Serials

Citations by Year