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Author ID: carr.jack Recent zbMATH articles by "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

Publications by Year

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 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