Edit Profile (opens in new tab) Carr, Jack Co-Author Distance Author ID: carr.jack Published as: Carr, Jack; Carr, J. Documents Indexed: 43 Publications since 1976, including 1 Book Co-Authors: 18 Co-Authors with 27 Joint Publications 485 Co-Co-Authors all top 5 Co-Authors 7 single-authored 6 Ball, John MacLeod 4 Pego, Robert Leo 2 Al-Amood, Naji 2 Da Costa, Fernando Pestana 2 Dunwell, Rachel M. 2 Dyson, Janet 2 Gurtin, Morton Edward 2 Malhardeen, M. Z. M. 2 Muncaster, Robert G. 2 Penrose, Oliver 2 Slemrod, Marshall 1 Alghamdi, Matab 1 Brown, Kenneth J. 1 Chmaj, Adam J. J. 1 Chow, Shui-Nee 1 Duncan, Dugald B. 1 Eilbeck, John Chris 1 Fei, Ning 1 Hale, Jack Kenneth 1 Lenton, Timothy M. 1 Mallet-Paret, John Joseph 1 Miller, Peter D. 1 Sanders, Jan A. 1 Scott, Alwyn C. 1 van Gils, Stephan A. 1 Walshaw, Chris H. 1 White, Andrew all top 5 Serials 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Differential Equations 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Journal of Statistical Physics 2 Physica D 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Applied Mathematics Letters 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Physica Scripta 1 Nonlinear Analysis. Real World Applications 1 Applied Mathematical Sciences 1 Journal of Theoretical Biology all top 5 Fields 25 Ordinary differential equations (34-XX) 12 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Biology and other natural sciences (92-XX) 4 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Astronomy and astrophysics (85-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 1,872 times in 1,646 Documents Cited by ▼ Year ▼ Applications of centre manifold theory. Zbl 0464.58001 Carr, Jack 849 1981 Uniqueness of travelling waves for nonlocal monostable equations. Zbl 1061.45003 Carr, Jack; Chmaj, Adam 218 2004 Metastable patterns in solutions of \(u_ t=\epsilon ^ 2u_{xx}-f(u)\). Zbl 0685.35054 Carr, J.; Pego, R. L. 161 1989 Structured phase transitions on a finite interval. Zbl 0564.76075 Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall 125 1984 The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation. Zbl 1217.82050 Ball, John M.; Carr, Jack 95 1990 The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions. Zbl 0594.58063 Ball, J. M.; Carr, J.; Penrose, O. 89 1986 Deterministic epidemic waves of critical velocity. Zbl 0351.92022 Brown, K. J.; Carr, J. 46 1977 Invariant manifolds for metastable patterns in \(u_ t = \varepsilon{}^ 2 u_{xx} - f(u)\). Zbl 0738.35023 Carr, Jack; Pego, Robert 40 1990 Abelian integrals and bifurcation theory. Zbl 0587.34033 Carr, Jack; Chow, Shui-Nee; Hale, Jack K. 37 1985 Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system. Zbl 1020.35032 Fei, Ning; Carr, Jack 31 2003 Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data. Zbl 0656.58021 Ball, J. M.; Carr, J. 31 1988 Asymptotic behavior of solutions to the coagulation-fragmentation equations. I: The strong fragmentation case. Zbl 0760.34044 Carr, J. 29 1992 Asymptotic behavior of solutions to the coagulation-fragmentation equations. II: Weak fragmentation. Zbl 0838.60089 Carr, J.; da Costa, F. P. 28 1994 The functional differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0344.34059 Carr, Jack; Dyson, Janet 21 1976 Asymptotic behaviour of solutions to a simplified Lifshitz-Slyozov equation. Zbl 0935.80003 Carr, J.; Penrose, O. 16 1998 The matrix functional differential equation y’(x) = Ay(lambda x) + By(x). Zbl 0355.34054 Carr, Jack; Dyson, Janet 16 1976 The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems. Zbl 0544.34039 Carr, Jack; Muncaster, Robert G. 15 1983 Very slow phase separation in one dimension. Zbl 0991.35515 Carr, J.; Pego, R. L. 14 1989 Instantaneous gelation in coagulation dynamics. Zbl 0761.76011 Carr, J.; da Costa, F. P. 13 1992 Numerical approximation of a metastable system. Zbl 0833.65068 Carr, J.; Duncan, D. B.; Walshaw, C. H. 13 1995 The application of centre manifolds to amplitude expansions. I. Ordinary differential equations. Zbl 0544.34038 Carr, Jack; Muncaster, Robert G. 13 1983 One-dimensional structured phase transformations under prescribed loads. Zbl 0581.73020 Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall 12 1985 Spatial pattern formation in a model of vegetation-climate feedback. Zbl 1033.35055 Adams, B.; Carr, J. 8 2003 Beck’s problem. Zbl 0426.35015 Carr, J.; Malhardeen, M. Z. M. 7 1979 Rate of decay in critical cases. I: Finite-dimensional problems. Zbl 0457.34041 Carr, J.; Al-Amood, Naji 7 1980 Decay to zero in critical cases of second order ordinary differential equations of Duffing type. Zbl 0356.34041 Ball, J. M.; Carr, J. 6 1976 Asymptotic behaviour of solutions to the Becker-Döring equations. Zbl 0934.34038 Carr, J.; Dunwell, R. M. 5 1999 One-dimensional daisyworld: spatial interactions and pattern formation. Zbl 1464.92257 Adams, B.; Carr, J.; Lenton, T. M.; White, A. 5 2003 Stability of self-similar solutions in a simplified LSW model. Zbl 1107.35023 Carr, J. 4 2006 Binding energies for discrete nonlinear Schrödinger equations. Zbl 1063.81548 Miller, P. D.; Scott, A. C.; Carr, J.; Eilbeck, J. C. 3 1991 Nonresonant bifurcations with symmetry. Zbl 0624.34026 Carr, Jack; Sanders, Jan A.; van Gils, Stephan A. 3 1987 Rate of decay in critical cases. II: Infinite-dimensional problems. Zbl 0457.34042 Carr, J.; Al-Amood, Naji 3 1980 Coagulation-fragmentation dynamics. Zbl 0661.34050 Ball, J. M.; Carr, J. 2 1987 Self-similarity in a cut-and-paste model of coarsening. Zbl 0978.82055 Carr, Jack; Pego, Robert L. 1 2000 Finite-dimensional coagulation-fragmentation dynamics. Zbl 1391.37057 Carr, Jack; Alghamdi, Matab; Duncan, Dugald B. 1 2018 Stability of nonconservative linear systems. Zbl 0455.35057 Carr, J.; Malhardeen, M. Z. M. 1 1980 Smooth homotopies for finding zeros of entire functions. Zbl 0514.55004 Carr, Jack; Mallet-Paret, John 1 1983 Finite-dimensional coagulation-fragmentation dynamics. Zbl 1391.37057 Carr, Jack; Alghamdi, Matab; Duncan, Dugald B. 1 2018 Stability of self-similar solutions in a simplified LSW model. Zbl 1107.35023 Carr, J. 4 2006 Uniqueness of travelling waves for nonlocal monostable equations. Zbl 1061.45003 Carr, Jack; Chmaj, Adam 218 2004 Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system. Zbl 1020.35032 Fei, Ning; Carr, Jack 31 2003 Spatial pattern formation in a model of vegetation-climate feedback. Zbl 1033.35055 Adams, B.; Carr, J. 8 2003 One-dimensional daisyworld: spatial interactions and pattern formation. Zbl 1464.92257 Adams, B.; Carr, J.; Lenton, T. M.; White, A. 5 2003 Self-similarity in a cut-and-paste model of coarsening. Zbl 0978.82055 Carr, Jack; Pego, Robert L. 1 2000 Asymptotic behaviour of solutions to the Becker-Döring equations. Zbl 0934.34038 Carr, J.; Dunwell, R. M. 5 1999 Asymptotic behaviour of solutions to a simplified Lifshitz-Slyozov equation. Zbl 0935.80003 Carr, J.; Penrose, O. 16 1998 Numerical approximation of a metastable system. Zbl 0833.65068 Carr, J.; Duncan, D. B.; Walshaw, C. H. 13 1995 Asymptotic behavior of solutions to the coagulation-fragmentation equations. II: Weak fragmentation. Zbl 0838.60089 Carr, J.; da Costa, F. P. 28 1994 Asymptotic behavior of solutions to the coagulation-fragmentation equations. I: The strong fragmentation case. Zbl 0760.34044 Carr, J. 29 1992 Instantaneous gelation in coagulation dynamics. Zbl 0761.76011 Carr, J.; da Costa, F. P. 13 1992 Binding energies for discrete nonlinear Schrödinger equations. Zbl 1063.81548 Miller, P. D.; Scott, A. C.; Carr, J.; Eilbeck, J. C. 3 1991 The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation. Zbl 1217.82050 Ball, John M.; Carr, Jack 95 1990 Invariant manifolds for metastable patterns in \(u_ t = \varepsilon{}^ 2 u_{xx} - f(u)\). Zbl 0738.35023 Carr, Jack; Pego, Robert 40 1990 Metastable patterns in solutions of \(u_ t=\epsilon ^ 2u_{xx}-f(u)\). Zbl 0685.35054 Carr, J.; Pego, R. L. 161 1989 Very slow phase separation in one dimension. Zbl 0991.35515 Carr, J.; Pego, R. L. 14 1989 Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data. Zbl 0656.58021 Ball, J. M.; Carr, J. 31 1988 Nonresonant bifurcations with symmetry. Zbl 0624.34026 Carr, Jack; Sanders, Jan A.; van Gils, Stephan A. 3 1987 Coagulation-fragmentation dynamics. Zbl 0661.34050 Ball, J. M.; Carr, J. 2 1987 The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions. Zbl 0594.58063 Ball, J. M.; Carr, J.; Penrose, O. 89 1986 Abelian integrals and bifurcation theory. Zbl 0587.34033 Carr, Jack; Chow, Shui-Nee; Hale, Jack K. 37 1985 One-dimensional structured phase transformations under prescribed loads. Zbl 0581.73020 Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall 12 1985 Structured phase transitions on a finite interval. Zbl 0564.76075 Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall 125 1984 The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems. Zbl 0544.34039 Carr, Jack; Muncaster, Robert G. 15 1983 The application of centre manifolds to amplitude expansions. I. Ordinary differential equations. Zbl 0544.34038 Carr, Jack; Muncaster, Robert G. 13 1983 Smooth homotopies for finding zeros of entire functions. Zbl 0514.55004 Carr, Jack; Mallet-Paret, John 1 1983 Applications of centre manifold theory. Zbl 0464.58001 Carr, Jack 849 1981 Rate of decay in critical cases. I: Finite-dimensional problems. Zbl 0457.34041 Carr, J.; Al-Amood, Naji 7 1980 Rate of decay in critical cases. II: Infinite-dimensional problems. Zbl 0457.34042 Carr, J.; Al-Amood, Naji 3 1980 Stability of nonconservative linear systems. Zbl 0455.35057 Carr, J.; Malhardeen, M. Z. M. 1 1980 Beck’s problem. Zbl 0426.35015 Carr, J.; Malhardeen, M. Z. M. 7 1979 Deterministic epidemic waves of critical velocity. Zbl 0351.92022 Brown, K. J.; Carr, J. 46 1977 The functional differential equation \(y'(x)=ay(\lambda x)+by(x)\). Zbl 0344.34059 Carr, Jack; Dyson, Janet 21 1976 The matrix functional differential equation y’(x) = Ay(lambda x) + By(x). Zbl 0355.34054 Carr, Jack; Dyson, Janet 16 1976 Decay to zero in critical cases of second order ordinary differential equations of Duffing type. Zbl 0356.34041 Ball, J. M.; Carr, J. 6 1976 all cited Publications top 5 cited Publications all top 5 Cited by 2,153 Authors 36 Li, Wan-Tong 21 Gumel, Abba B. 20 Laurençot, Philippe 15 Roberts, Anthony John 15 Strani, Marta 15 Valls Anglés, Cláudia 15 Wu, Shiliang 14 Barreira, Luis Manuel 14 Folino, Raffaele 14 Yu, Zhixian 13 Jiang, Weihua 13 Xu, Zhaoquan 13 Yuan, Rong 12 Carr, Jack 12 Zhang, Weinian 11 Bates, Peter W. 11 Da Costa, Fernando Pestana 11 Giri, Ankik Kumar 11 Kühn, Christian 11 Zhang, Guobao 10 Bhunu, Claver Pedzisai 10 Lu, Kening 10 Wang, Zhi Cheng 9 Chen, Hebai 9 Hsu, Cheng-Hsiung 9 Niethammer, Barbara 9 Velázquez, Juan J. L. 9 Wei, Junjie 9 Zhang, Li 8 Banasiak, Jacek 8 Bowong, Samuel 8 Chen, Xinfu 8 Conlon, Joseph G. 8 Horikawa, Yo 8 Ichida, Yu 8 Mushayabasa, Steady 8 Shen, Jun 8 Tchuenche, Jean Michel 8 Wrzosek, Dariusz M. 7 Acharya, Amit 7 Coville, Jerome 7 Fusco, Giorgio 7 Novick-Cohen, Amy 7 Pan, Shuxia 7 Sakamoto, Takashi Okuda 7 Shen, Wenxian 7 Wang, Hongbin 7 Wang, Jiabing 7 Wang, Qinlong 7 Xiao, Dongmei 7 Yin, Haiyan 7 Yu, Pei 7 Zhang, Tianran 6 Agusto, Folashade B. 6 Cañizo, José Alfredo 6 Din, Qamar 6 Ei, Shin-Ichiro 6 Huang, Wentao 6 Li, Kun 6 Li, Xiong 6 Mischler, Stéphane 6 Nguyen Thieu Huy 6 Pego, Robert Leo 6 Ruan, Shigui 6 Sasportes, Rafael 6 Schlichting, André 6 Uldall Kristiansen, K. 6 Yang, Feiying 6 Zhao, Xiao-Qiang 6 Zou, Xingfu 5 Cheng, Hongmei 5 de la Llave, Rafael 5 Djilali, Salih 5 Dong, Fang-Di 5 Feng, Zhaosheng 5 Fonseca, Irene 5 Garira, Winston S. 5 Holmes, Philip J. 5 Huang, Jianhua 5 Hung, Li-Chang 5 Kokubu, Hiroshi 5 Kumar, Jitendra 5 Li, Xianyi 5 Lin, Guo 5 Lin, Xiaobiao 5 Mansour, Mahmoud Bakheet A. 5 Meng, Yanling 5 Ogawa, Toshiyuki 5 Okuonghae, Daniel 5 Ou, Chunhua 5 Owen, Nicholas C. 5 Pinto, João T. 5 Plaza, Ramón G. 5 Rademacher, Jens Diederich Michael 5 Safi, Mohammad A. 5 Shen, Zhongwei 5 Silva, Cristiana J. 5 Slemrod, Marshall 5 Sun, Yujuan 5 Torres, Delfim Fernando Marado ...and 2,053 more Authors all top 5 Cited in 298 Serials 125 Journal of Differential Equations 65 Physica D 48 Journal of Dynamics and Differential Equations 46 Journal of Mathematical Analysis and Applications 35 Nonlinear Analysis. Real World Applications 34 Applied Mathematics and Computation 33 ZAMP. Zeitschrift für angewandte Mathematik und Physik 32 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Archive for Rational Mechanics and Analysis 29 Discrete and Continuous Dynamical Systems. Series B 28 Nonlinear Dynamics 25 Discrete and Continuous Dynamical Systems 24 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 22 Communications in Nonlinear Science and Numerical Simulation 20 Journal of Statistical Physics 20 Transactions of the American Mathematical Society 20 Systems & Control Letters 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Journal of Nonlinear Science 19 International Journal of Biomathematics 18 Mathematical Biosciences 18 Bulletin of Mathematical Biology 16 Journal of Mathematical Biology 16 Japan Journal of Industrial and Applied Mathematics 16 Applied Mathematical Modelling 16 SIAM Journal on Applied Dynamical Systems 15 Mathematical Methods in the Applied Sciences 15 Nonlinearity 14 Applicable Analysis 14 Communications in Mathematical Physics 14 Chaos, Solitons and Fractals 13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Journal of Theoretical Biology 12 Mathematics and Computers in Simulation 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 12 SIAM Journal on Mathematical Analysis 12 Journal of Difference Equations and Applications 12 Discrete Dynamics in Nature and Society 12 Communications on Pure and Applied Analysis 12 Nonlinear Analysis. Theory, Methods & Applications 11 Applied Mathematics Letters 10 Journal of Mathematical Physics 10 Journal of Computational and Applied Mathematics 10 Communications in Partial Differential Equations 10 Qualitative Theory of Dynamical Systems 9 Computers & Mathematics with Applications 9 International Journal of Control 9 Proceedings of the American Mathematical Society 9 Acta Applicandae Mathematicae 9 Mathematical Biosciences and Engineering 8 Automatica 8 Quarterly of Applied Mathematics 8 Applied Numerical Mathematics 8 Advances in Difference Equations 7 Journal of Computational Physics 7 Journal of the Mechanics and Physics of Solids 7 Journal of Elasticity 7 SIAM Journal on Applied Mathematics 7 Calculus of Variations and Partial Differential Equations 7 Journal of Evolution Equations 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of Integral Equations and Applications 6 European Journal of Applied Mathematics 6 Celestial Mechanics and Dynamical Astronomy 6 Differential Equations and Dynamical Systems 6 Abstract and Applied Analysis 6 Chaos 6 Journal of Biological Systems 6 Journal of Applied Mathematics and Computing 6 Journal of Biological Dynamics 6 Journal of Applied Analysis and Computation 5 Rocky Mountain Journal of Mathematics 5 Mathematics of Computation 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 MCSS. Mathematics of Control, Signals, and Systems 5 Journal of Mathematical Sciences (New York) 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Acta Mathematica Sinica. English Series 5 Computational & Mathematical Methods in Medicine 5 Discrete and Continuous Dynamical Systems. Series S 4 Computer Methods in Applied Mechanics and Engineering 4 Communications on Pure and Applied Mathematics 4 Physics Letters. A 4 Ukrainian Mathematical Journal 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Numerische Mathematik 4 Studies in Applied Mathematics 4 Theoretical Population Biology 4 Mathematical and Computer Modelling 4 Dynamics and Stability of Systems 4 Electronic Journal of Differential Equations (EJDE) 4 Journal of Dynamical and Control Systems 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Kinetic and Related Models 3 Computer Physics Communications 3 General Relativity and Gravitation 3 International Journal of Engineering Science 3 Journal of Engineering Mathematics 3 Journal of Fluid Mechanics 3 Physica A ...and 198 more Serials all top 5 Cited in 47 Fields 654 Partial differential equations (35-XX) 553 Ordinary differential equations (34-XX) 470 Biology and other natural sciences (92-XX) 330 Dynamical systems and ergodic theory (37-XX) 143 Statistical mechanics, structure of matter (82-XX) 107 Fluid mechanics (76-XX) 100 Systems theory; control (93-XX) 91 Numerical analysis (65-XX) 80 Integral equations (45-XX) 79 Mechanics of deformable solids (74-XX) 62 Mechanics of particles and systems (70-XX) 61 Calculus of variations and optimal control; optimization (49-XX) 61 Probability theory and stochastic processes (60-XX) 57 Operator theory (47-XX) 50 Difference and functional equations (39-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 33 Global analysis, analysis on manifolds (58-XX) 28 Classical thermodynamics, heat transfer (80-XX) 15 Computer science (68-XX) 14 Relativity and gravitational theory (83-XX) 11 Integral transforms, operational calculus (44-XX) 11 Geophysics (86-XX) 9 Quantum theory (81-XX) 8 Optics, electromagnetic theory (78-XX) 7 Statistics (62-XX) 6 Combinatorics (05-XX) 6 Differential geometry (53-XX) 6 Information and communication theory, circuits (94-XX) 5 Operations research, mathematical programming (90-XX) 4 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Approximations and expansions (41-XX) 3 Manifolds and cell complexes (57-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Citations by Year