# zbMATH — the first resource for mathematics

## Carr, Jack

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 Author ID: carr.jack Published as: Carr, J.; Carr, Jack
 Documents Indexed: 43 Publications since 1976, including 1 Book
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#### Co-Authors

 7 single-authored 6 Ball, John M. 4 Pego, Robert L. 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.
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#### 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
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#### 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)

#### Citations contained in zbMATH Open

35 Publications have been cited 1,576 times in 1,302 Documents Cited by Year
Applications of centre manifold theory. Zbl 0464.58001
Carr, Jack
1981
Uniqueness of travelling waves for nonlocal monostable equations. Zbl 1061.45003
Carr, Jack; Chmaj, Adam
2004
Metastable patterns in solutions of $$u_ t=\epsilon ^ 2u_{xx}-f(u)$$. Zbl 0685.35054
Carr, J.; Pego, R. L.
1989
Structured phase transitions on a finite interval. Zbl 0564.76075
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
1984
The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation. Zbl 1217.82050
Ball, John M.; Carr, Jack
1990
The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions. Zbl 0594.58063
Ball, J. M.; Carr, J.; Penrose, O.
1986
Deterministic epidemic waves of critical velocity. Zbl 0351.92022
Brown, K. J.; Carr, J.
1977
Invariant manifolds for metastable patterns in $$u_ t = \varepsilon{}^ 2 u_{xx} - f(u)$$. Zbl 0738.35023
Carr, Jack; Pego, Robert
1990
Abelian integrals and bifurcation theory. Zbl 0587.34033
Carr, Jack; Chow, Shui-Nee; Hale, Jack K.
1985
Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data. Zbl 0656.58021
Ball, J. M.; Carr, J.
1988
Asymptotic behavior of solutions to the coagulation-fragmentation equations. I: The strong fragmentation case. Zbl 0760.34044
Carr, J.
1992
Asymptotic behavior of solutions to the coagulation-fragmentation equations. II: Weak fragmentation. Zbl 0838.60089
Carr, J.; da Costa, F. P.
1994
Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system. Zbl 1020.35032
Fei, Ning; Carr, Jack
2003
The functional differential equation $$y'(x)=ay(\lambda x)+by(x)$$. Zbl 0344.34059
Carr, Jack; Dyson, Janet
1976
Asymptotic behaviour of solutions to a simplified Lifshitz-Slyozov equation. Zbl 0935.80003
Carr, J.; Penrose, O.
1998
Very slow phase separation in one dimension. Zbl 0991.35515
Carr, J.; Pego, R. L.
1989
The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems. Zbl 0544.34039
Carr, Jack; Muncaster, Robert G.
1983
The matrix functional differential equation y’(x) = Ay(lambda x) + By(x). Zbl 0355.34054
Carr, Jack; Dyson, Janet
1976
The application of centre manifolds to amplitude expansions. I. Ordinary differential equations. Zbl 0544.34038
Carr, Jack; Muncaster, Robert G.
1983
One-dimensional structured phase transformations under prescribed loads. Zbl 0581.73020
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
1985
Numerical approximation of a metastable system. Zbl 0833.65068
Carr, J.; Duncan, D. B.; Walshaw, C. H.
1995
Instantaneous gelation in coagulation dynamics. Zbl 0761.76011
Carr, J.; da Costa, F. P.
1992
Rate of decay in critical cases. I: Finite-dimensional problems. Zbl 0457.34041
Carr, J.; Al-Amood, Naji
1980
Beck’s problem. Zbl 0426.35015
Carr, J.; Malhardeen, M. Z. M.
1979
Decay to zero in critical cases of second order ordinary differential equations of Duffing type. Zbl 0356.34041
Ball, J. M.; Carr, J.
1976
Spatial pattern formation in a model of vegetation-climate feedback. Zbl 1033.35055
Adams, B.; Carr, J.
2003
Stability of self-similar solutions in a simplified LSW model. Zbl 1107.35023
Carr, J.
2006
Asymptotic behaviour of solutions to the Becker-Döring equations. Zbl 0934.34038
Carr, J.; Dunwell, R. M.
1999
Binding energies for discrete nonlinear Schrödinger equations. Zbl 1063.81548
Miller, P. D.; Scott, A. C.; Carr, J.; Eilbeck, J. C.
1991
Rate of decay in critical cases. II: Infinite-dimensional problems. Zbl 0457.34042
Carr, J.; Al-Amood, Naji
1980
Nonresonant bifurcations with symmetry. Zbl 0624.34026
Carr, Jack; Sanders, Jan A.; van Gils, Stephan A.
1987
Coagulation-fragmentation dynamics. Zbl 0661.34050
Ball, J. M.; Carr, J.
1987
Stability of nonconservative linear systems. Zbl 0455.35057
Carr, J.; Malhardeen, M. Z. M.
1980
Smooth homotopies for finding zeros of entire functions. Zbl 0514.55004
Carr, Jack; Mallet-Paret, John
1983
Self-similarity in a cut-and-paste model of coarsening. Zbl 0978.82055
Carr, Jack; Pego, Robert L.
2000
Stability of self-similar solutions in a simplified LSW model. Zbl 1107.35023
Carr, J.
2006
Uniqueness of travelling waves for nonlocal monostable equations. Zbl 1061.45003
Carr, Jack; Chmaj, Adam
2004
Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system. Zbl 1020.35032
Fei, Ning; Carr, Jack
2003
Spatial pattern formation in a model of vegetation-climate feedback. Zbl 1033.35055
Adams, B.; Carr, J.
2003
Self-similarity in a cut-and-paste model of coarsening. Zbl 0978.82055
Carr, Jack; Pego, Robert L.
2000
Asymptotic behaviour of solutions to the Becker-Döring equations. Zbl 0934.34038
Carr, J.; Dunwell, R. M.
1999
Asymptotic behaviour of solutions to a simplified Lifshitz-Slyozov equation. Zbl 0935.80003
Carr, J.; Penrose, O.
1998
Numerical approximation of a metastable system. Zbl 0833.65068
Carr, J.; Duncan, D. B.; Walshaw, C. H.
1995
Asymptotic behavior of solutions to the coagulation-fragmentation equations. II: Weak fragmentation. Zbl 0838.60089
Carr, J.; da Costa, F. P.
1994
Asymptotic behavior of solutions to the coagulation-fragmentation equations. I: The strong fragmentation case. Zbl 0760.34044
Carr, J.
1992
Instantaneous gelation in coagulation dynamics. Zbl 0761.76011
Carr, J.; da Costa, F. P.
1992
Binding energies for discrete nonlinear Schrödinger equations. Zbl 1063.81548
Miller, P. D.; Scott, A. C.; Carr, J.; Eilbeck, J. C.
1991
The discrete coagulation-fragmentation equations: existence, uniqueness, and density conservation. Zbl 1217.82050
Ball, John M.; Carr, Jack
1990
Invariant manifolds for metastable patterns in $$u_ t = \varepsilon{}^ 2 u_{xx} - f(u)$$. Zbl 0738.35023
Carr, Jack; Pego, Robert
1990
Metastable patterns in solutions of $$u_ t=\epsilon ^ 2u_{xx}-f(u)$$. Zbl 0685.35054
Carr, J.; Pego, R. L.
1989
Very slow phase separation in one dimension. Zbl 0991.35515
Carr, J.; Pego, R. L.
1989
Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data. Zbl 0656.58021
Ball, J. M.; Carr, J.
1988
Nonresonant bifurcations with symmetry. Zbl 0624.34026
Carr, Jack; Sanders, Jan A.; van Gils, Stephan A.
1987
Coagulation-fragmentation dynamics. Zbl 0661.34050
Ball, J. M.; Carr, J.
1987
The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions. Zbl 0594.58063
Ball, J. M.; Carr, J.; Penrose, O.
1986
Abelian integrals and bifurcation theory. Zbl 0587.34033
Carr, Jack; Chow, Shui-Nee; Hale, Jack K.
1985
One-dimensional structured phase transformations under prescribed loads. Zbl 0581.73020
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
1985
Structured phase transitions on a finite interval. Zbl 0564.76075
Carr, Jack; Gurtin, Morton E.; Slemrod, Marshall
1984
The application of centre manifolds to amplitude expansions. II. Infinite dimensional problems. Zbl 0544.34039
Carr, Jack; Muncaster, Robert G.
1983
The application of centre manifolds to amplitude expansions. I. Ordinary differential equations. Zbl 0544.34038
Carr, Jack; Muncaster, Robert G.
1983
Smooth homotopies for finding zeros of entire functions. Zbl 0514.55004
Carr, Jack; Mallet-Paret, John
1983
Applications of centre manifold theory. Zbl 0464.58001
Carr, Jack
1981
Rate of decay in critical cases. I: Finite-dimensional problems. Zbl 0457.34041
Carr, J.; Al-Amood, Naji
1980
Rate of decay in critical cases. II: Infinite-dimensional problems. Zbl 0457.34042
Carr, J.; Al-Amood, Naji
1980
Stability of nonconservative linear systems. Zbl 0455.35057
Carr, J.; Malhardeen, M. Z. M.
1980
Beck’s problem. Zbl 0426.35015
Carr, J.; Malhardeen, M. Z. M.
1979
Deterministic epidemic waves of critical velocity. Zbl 0351.92022
Brown, K. J.; Carr, J.
1977
The functional differential equation $$y'(x)=ay(\lambda x)+by(x)$$. Zbl 0344.34059
Carr, Jack; Dyson, Janet
1976
The matrix functional differential equation y’(x) = Ay(lambda x) + By(x). Zbl 0355.34054
Carr, Jack; Dyson, Janet
1976
Decay to zero in critical cases of second order ordinary differential equations of Duffing type. Zbl 0356.34041
Ball, J. M.; Carr, J.
1976
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#### Cited by 1,650 Authors

 30 Li, Wan-Tong 21 Gumel, Abba B. 18 Laurençot, Philippe 13 Wu, Shiliang 12 Carr, Jack 12 Jiang, Weihua 12 Strani, Marta 12 Yu, Zhixian 11 Bates, Peter W. 11 Folino, Raffaele 11 Xu, Zhaoquan 11 Yuan, Rong 10 Barreira, Luis Manuel 10 Bhunu, Claver Pedzisai 10 Lu, Kening 10 Valls Anglés, Cláudia 10 Wang, Zhi Cheng 10 Zhang, Guobao 9 Da Costa, Fernando Pestana 9 Wei, Junjie 9 Zhang, Weinian 8 Banasiak, Jacek 8 Chen, Xinfu 8 Mushayabasa, Steady 8 Velázquez, Juan J. L. 8 Wrzosek, Dariusz M. 7 Conlon, Joseph G. 7 Horikawa, Yo 7 Hsu, Cheng-Hsiung 7 Niethammer, Barbara 7 Novick-Cohen, Amy 7 Tchuenche, Jean Michel 7 Wang, Hongbin 6 Acharya, Amit 6 Agusto, Folashade B. 6 Bowong, Samuel 6 Cañizo, José Alfredo 6 Coville, Jerome 6 Giri, Ankik Kumar 6 Kühn, Christian 6 Li, Kun 6 Li, Xiong 6 Mischler, Stéphane 6 Pan, Shuxia 6 Ruan, Shigui 6 Sasportes, Rafael 6 Shen, Jun 6 Wang, Qinlong 6 Yin, Haiyan 6 Zhang, Tianran 6 Zhao, Xiao-Qiang 5 Dong, Fang-Di 5 Ei, Shin-Ichiro 5 Fonseca, Irene 5 Fusco, Giorgio 5 Garira, Winston S. 5 Holmes, Philip J. 5 Huang, Jianhua 5 Hung, Li-Chang 5 Kokubu, Hiroshi 5 Kumar, Jitendra 5 Lin, Guo 5 Lin, Xiaobiao 5 Nguyen Thieu Huy 5 Ogawa, Toshiyuki 5 Okuonghae, Daniel 5 Owen, Nicholas C. 5 Pego, Robert L. 5 Pinto, João T. 5 Safi, Mohammad A. 5 Shen, Wenxian 5 Slemrod, Marshall 5 Sun, Yujuan 5 Wang, Jiabing 5 Xiao, Dongmei 5 Xu, Zhiting 5 Yang, Feiying 5 Zou, Xingfu 4 Ball, John M. 4 Castillo-Toledo, Bernardino 4 Chang, Hsuehchia 4 Chen, Hebai 4 Cheng, Hongmei 4 de la Llave, Rafael 4 Dubovskii, Pavel B. 4 Escobedo Martínez, Miguel 4 García-Melián, Jorge 4 Guo, Jong-Shenq 4 Han, Maoan 4 Hove-Musekwa, Senelani Dorothy 4 Huang, Wentao 4 Kaper, Tasso J. 4 Kohn, Robert Vita 4 Kuwamura, Masataka 4 Lamb, Wilson 4 Lv, Guangying 4 Mansour, Mahmoud Bakheet A. 4 Martínez, Salomé 4 Mascia, Corrado 4 Morita, Yoshihisa ...and 1,550 more Authors
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#### Cited in 262 Serials

 109 Journal of Differential Equations 57 Physica D 40 Journal of Dynamics and Differential Equations 36 Journal of Mathematical Analysis and Applications 29 Nonlinear Analysis. Real World Applications 28 Archive for Rational Mechanics and Analysis 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 ZAMP. Zeitschrift für angewandte Mathematik und Physik 25 Applied Mathematics and Computation 25 Nonlinear Dynamics 23 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 22 Discrete and Continuous Dynamical Systems 21 Discrete and Continuous Dynamical Systems. Series B 19 Systems & Control Letters 18 Journal of Statistical Physics 18 Bulletin of Mathematical Biology 18 Transactions of the American Mathematical Society 17 Journal of Nonlinear Science 16 Mathematical Biosciences 14 Journal of Mathematical Biology 14 Japan Journal of Industrial and Applied Mathematics 13 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Communications in Mathematical Physics 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 International Journal of Biomathematics 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Applicable Analysis 10 Journal of Computational and Applied Mathematics 10 Applied Mathematical Modelling 10 Communications on Pure and Applied Analysis 10 Nonlinear Analysis. Theory, Methods & Applications 9 International Journal of Control 9 Nonlinearity 9 Communications in Partial Differential Equations 9 SIAM Journal on Mathematical Analysis 9 Communications in Nonlinear Science and Numerical Simulation 9 SIAM Journal on Applied Dynamical Systems 9 Journal of Theoretical Biology 8 Mathematical Methods in the Applied Sciences 8 Proceedings of the American Mathematical Society 8 Applied Mathematics Letters 8 Journal of Difference Equations and Applications 7 Computers & Mathematics with Applications 7 Journal of Mathematical Physics 7 Applied Numerical Mathematics 7 Journal of Elasticity 7 Discrete Dynamics in Nature and Society 7 Journal of Evolution Equations 6 Journal of the Mechanics and Physics of Solids 6 Automatica 6 Quarterly of Applied Mathematics 6 Acta Mathematicae Applicatae Sinica. English Series 6 Journal of Integral Equations and Applications 6 Celestial Mechanics and Dynamical Astronomy 6 Qualitative Theory of Dynamical Systems 6 Advances in Difference Equations 5 Rocky Mountain Journal of Mathematics 5 Chaos, Solitons and Fractals 5 Acta Applicandae Mathematicae 5 MCSS. Mathematics of Control, Signals, and Systems 5 SIAM Journal on Applied Mathematics 5 Calculus of Variations and Partial Differential Equations 5 Differential Equations and Dynamical Systems 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Abstract and Applied Analysis 5 Chaos 5 Acta Mathematica Sinica. English Series 5 Journal of Biological Systems 5 Journal of Applied Mathematics and Computing 5 Computational & Mathematical Methods in Medicine 5 Journal of Applied Analysis and Computation 4 Communications on Pure and Applied Mathematics 4 Journal of Computational Physics 4 Physics Letters. A 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Mathematics of Computation 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Studies in Applied Mathematics 4 Theoretical Population Biology 4 Mathematical and Computer Modelling 4 Dynamics and Stability of Systems 4 European Journal of Applied Mathematics 4 Journal of Biological Dynamics 4 Kinetic and Related Models 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Engineering Mathematics 3 Journal of Fluid Mechanics 3 Theoretical and Mathematical Physics 3 Ukrainian Mathematical Journal 3 Wave Motion 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Numerische Mathematik 3 Applied Mathematics and Mechanics. (English Edition) 3 Stochastic Analysis and Applications 3 Japan Journal of Applied Mathematics 3 The Annals of Applied Probability 3 Continuum Mechanics and Thermodynamics 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Mathematical Sciences (New York) 3 Bulletin des Sciences Mathématiques ...and 162 more Serials
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#### Cited in 44 Fields

 521 Partial differential equations (35-XX) 433 Ordinary differential equations (34-XX) 337 Biology and other natural sciences (92-XX) 247 Dynamical systems and ergodic theory (37-XX) 125 Statistical mechanics, structure of matter (82-XX) 89 Systems theory; control (93-XX) 82 Fluid mechanics (76-XX) 73 Numerical analysis (65-XX) 68 Integral equations (45-XX) 68 Mechanics of deformable solids (74-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 47 Operator theory (47-XX) 45 Probability theory and stochastic processes (60-XX) 45 Mechanics of particles and systems (70-XX) 33 Global analysis, analysis on manifolds (58-XX) 28 Difference and functional equations (39-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Classical thermodynamics, heat transfer (80-XX) 9 Computer science (68-XX) 8 Integral transforms, operational calculus (44-XX) 8 Geophysics (86-XX) 7 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 6 Relativity and gravitational theory (83-XX) 4 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Sequences, series, summability (40-XX) 3 Manifolds and cell complexes (57-XX) 3 Statistics (62-XX) 3 Astronomy and astrophysics (85-XX) 3 Information and communication theory, circuits (94-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX)