Edit Profile (opens in new tab) Kobayashi, Ryo Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 4 single-authored 6 Nakagaki, Toshiyuki 6 Tero, Atsushi 4 Giga, Yoshikazu 4 Mimura, Masayasu 3 Kawashima, Shuichi 3 Tsujikawa, Tohru 2 Carter, W. Craig 2 Miyaji, Tomoyuki 2 Ogata, Shuji 2 Ohnishi, Isamu 2 Ueyama, Daishin 2 Warren, James A. 1 Akiyama, Masakazu 1 Awazu, Akinori 1 Bebber, Dan P. 1 Fricker, Mark D. 1 Giga, Mi-Ho 1 Iguchi, Shunta 1 Ikeda, Hideo 1 Ikemoto, Yusuke 1 Ishiguro, Akio 1 Ito, Kentaro 1 Iwamoto, Mayuko 1 Kajimoto, Yoshinaga 1 Kimura, Takuma 1 Konuma, M. 1 Kumai, R. 1 Kurokiba, Masaki 1 Miura, Takashi 1 Moriwaki, T. 1 Nagai, Toshitaka 1 Nakamura, Takahide 1 Ohmura, Tomohisa 1 Ohta, Takao 1 Oishi, Shin’ichi 1 Saigusa, Tetsu 1 Seirin lee, S. 1 Takagi, Seiji 1 Takamatsu, Atsuko 1 Tashiro, Shin-ichiro 1 Yamamoto, Masakazu 1 Yoneyama, N. 1 Yoshimura, Kenji 1 Yumiki, Kenji all top 5 Serials 4 Physica D 4 Journal of Theoretical Biology 3 Journal of Mathematical Biology 2 RIMS Kôkyûroku Bessatsu 2 Science 1 Computer Physics Communications 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Funkcialaj Ekvacioj. Serio Internacia 1 International Journal for Numerical Methods in Engineering 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Japan Journal of Applied Mathematics 1 New Generation Computing 1 Japan Journal of Industrial and Applied Mathematics 1 Numerical Algorithms 1 Experimental Mathematics 1 Methods and Applications of Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 RIMS Kokyuroku 1 CMES. Computer Modeling in Engineering & Sciences 1 Forma all top 5 Fields 18 Partial differential equations (35-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Biology and other natural sciences (92-XX) 7 Mechanics of deformable solids (74-XX) 5 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 0797.35175Kobayashi, Ryo 99 1993 A continuum model of grain boundaries. Zbl 0956.35123Kobayashi, Ryo; Warren, James A.; Carter, W. Craig 44 2000 Rules for biologically inspired adaptive network design. Zbl 1226.90021Tero, 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 0952.74014Kobayashi, R.; Giga, Y. 29 1999 Higher-dimensional localized patterns in excitable media. Zbl 0694.35010Ohta, T.; Mimura, M.; Kobayashi, R. 24 1989 Very singular diffusion equations. Zbl 1002.35074Giga, Mi-Ho; Giga, Yoshikazu; Kobayashi, Ryo 21 2001 A numerical approach to three-dimensional dendritic solidification. Zbl 0811.65126Kobayashi, Ryo 20 1994 Decay estimates and large time behavior of solutions to the drift-diffusion system. Zbl 1173.35366Kobayashi, Ryo; Kawashima, Shuichi 16 2008 On constrained equations with singular diffusivity. Zbl 1058.58006Giga, Yoshikazu; Kobayashi, Ryo 7 2003 A coupled-oscillator model with a conservation law for the rhythmic amoeboid movements of plasmodial slime molds. Zbl 1079.35039Tero, A.; Kobayashi, R.; Nakagaki, T. 7 2005 Grain boundary model and singular diffusivity. Zbl 0961.35164Kobayashi, Ryo; Warren, James A.; Carter, W. Craig 7 2000 On anisotropy and curvature effects for growing crystals. Zbl 0981.35091Kobayashi, Ryo; Giga, Yoshikazu 7 2001 A mathematical model for adaptive transport network in path finding by true slime mold. Zbl 1450.92052Tero, Atsushi; Kobayashi, Ryo; Nakagaki, Toshiyuki 7 2007 Mathematical model for rhythmic protoplasmic movement in the true slime mold. Zbl 1098.92007Kobayashi, Ryo; Tero, Atsushi; Nakagaki, Toshiyuki 7 2006 Stability properties of traveling pulse solutions of the higher dimensional FitzHugh-Nagumo equations. Zbl 0702.35017Tsujikawa, 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 1357.92031Seirin Lee, S.; Tashiro, S.; Awazu, A.; Kobayashi, R. 4 2017 Stationary solutions to the drift-diffusion model in the whole spaces. Zbl 1173.78301Kobayashi, Ryo; Kurokiba, Masaki; Kawashima, Shuichi 2 2009 FORTRAN program for a numerical solution of the nonsinglet Altarelli-Parisi equation. Zbl 0873.65127Kobayashi, R.; Konuma, M.; Kumano, S. 2 1995 Computational ability of cells based on cell dynamics and adaptability. Zbl 1192.68653Nakagaki, Toshiyuki; Tero, Atsushi; Kobayashi, Ryo; Onishi, Isamu; Miyaji, Tomoyuki 2 2009 Modeling of grain structure evolution. Zbl 1205.74024Kobayashi, R. 1 2001 A new mathematical model for pattern formation by cranial sutures. Zbl 1352.92020Yoshimura, Kenji; Kobayashi, Ryo; Ohmura, Tomohisa; Kajimoto, Yoshinaga; Miura, Takashi 1 2016 A mathematical one-dimensional one-phase model of supercooling solidification. Zbl 0588.35047Kobayashi, Ryo 1 1983 Dynamics of aggregating patterns in a chemotaxis-diffusion-growth model equation. Zbl 1003.92502Mimura, Masayasu; Tsujikawa, Tohru; Kobayashi, Ryo; Ueyama, Daishin 1 1993 Crystallization and vitrification of electrons in a glass-forming charge liquid. Zbl 1404.82075Sasaki, 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 1406.92043Akiyama, Masakazu; Tero, Atsushi; Kobayashi, Ryo 1 2010 Asymptotic stability of stationary solutions to the drift-diffusion model in the whole space. Zbl 1262.35036Kobayashi, Ryo; Yamamoto, Masakazu; Kawashima, Shuichi 1 2012 A new application of the phase-field method for understanding the mechanisms of nuclear architecture reorganization. Zbl 1357.92031Seirin Lee, S.; Tashiro, S.; Awazu, A.; Kobayashi, R. 4 2017 Crystallization and vitrification of electrons in a glass-forming charge liquid. Zbl 1404.82075Sasaki, 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 1352.92020Yoshimura, 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 1262.35036Kobayashi, Ryo; Yamamoto, Masakazu; Kawashima, Shuichi 1 2012 Rules for biologically inspired adaptive network design. Zbl 1226.90021Tero, 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 1406.92043Akiyama, Masakazu; Tero, Atsushi; Kobayashi, Ryo 1 2010 Stationary solutions to the drift-diffusion model in the whole spaces. Zbl 1173.78301Kobayashi, Ryo; Kurokiba, Masaki; Kawashima, Shuichi 2 2009 Computational ability of cells based on cell dynamics and adaptability. Zbl 1192.68653Nakagaki, 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 1173.35366Kobayashi, Ryo; Kawashima, Shuichi 16 2008 A mathematical model for adaptive transport network in path finding by true slime mold. Zbl 1450.92052Tero, Atsushi; Kobayashi, Ryo; Nakagaki, Toshiyuki 7 2007 Mathematical model for rhythmic protoplasmic movement in the true slime mold. Zbl 1098.92007Kobayashi, 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 1079.35039Tero, A.; Kobayashi, R.; Nakagaki, T. 7 2005 On constrained equations with singular diffusivity. Zbl 1058.58006Giga, Yoshikazu; Kobayashi, Ryo 7 2003 Very singular diffusion equations. Zbl 1002.35074Giga, Mi-Ho; Giga, Yoshikazu; Kobayashi, Ryo 21 2001 On anisotropy and curvature effects for growing crystals. Zbl 0981.35091Kobayashi, Ryo; Giga, Yoshikazu 7 2001 Modeling of grain structure evolution. Zbl 1205.74024Kobayashi, R. 1 2001 A continuum model of grain boundaries. Zbl 0956.35123Kobayashi, Ryo; Warren, James A.; Carter, W. Craig 44 2000 Grain boundary model and singular diffusivity. Zbl 0961.35164Kobayashi, Ryo; Warren, James A.; Carter, W. Craig 7 2000 Equations with singular diffusivity. Zbl 0952.74014Kobayashi, R.; Giga, Y. 29 1999 FORTRAN program for a numerical solution of the nonsinglet Altarelli-Parisi equation. Zbl 0873.65127Kobayashi, R.; Konuma, M.; Kumano, S. 2 1995 A numerical approach to three-dimensional dendritic solidification. Zbl 0811.65126Kobayashi, Ryo 20 1994 Modeling and numerical simulations of dendritic crystal growth. Zbl 0797.35175Kobayashi, Ryo 99 1993 Dynamics of aggregating patterns in a chemotaxis-diffusion-growth model equation. Zbl 1003.92502Mimura, Masayasu; Tsujikawa, Tohru; Kobayashi, Ryo; Ueyama, Daishin 1 1993 Higher-dimensional localized patterns in excitable media. Zbl 0694.35010Ohta, T.; Mimura, M.; Kobayashi, R. 24 1989 Stability properties of traveling pulse solutions of the higher dimensional FitzHugh-Nagumo equations. Zbl 0702.35017Tsujikawa, Tohru; Nagai, Toshitaka; Mimura, Masayasu; Kobayashi, Ryo; Ikeda, Hideo 5 1989 A mathematical one-dimensional one-phase model of supercooling solidification. Zbl 0588.35047Kobayashi, Ryo 1 1983 all cited Publications top 5 cited Publications 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 all top 5 Cited in 27 Fields 125 Partial differential equations (35-XX) 62 Numerical analysis (65-XX) 49 Fluid mechanics (76-XX) 45 Mechanics of deformable solids (74-XX) 43 Statistical mechanics, structure of matter (82-XX) 43 Biology and other natural sciences (92-XX) 35 Classical thermodynamics, heat transfer (80-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 18 Operations research, mathematical programming (90-XX) 14 Computer science (68-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 10 Optics, electromagnetic theory (78-XX) 7 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Probability theory and stochastic processes (60-XX) 5 Systems theory; control (93-XX) 4 Combinatorics (05-XX) 3 Geophysics (86-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year