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## Amick, Charles J.

Compute Distance To:
 Author ID: amick.charles-j Published as: Amick, C.; Amick, C. J.; Amick, Charles; Amick, Charles J.
 Documents Indexed: 45 Publications since 1977
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#### Co-Authors

 17 single-authored 13 Toland, John Francis 5 Fraenkel, L. Edward 5 Turner, Robert E. L. 2 Ching, Emily S. C. 2 Kadanoff, Leo Philip 2 Kirchgässner, Klaus 2 Rom-Kedar, Vered 1 Bona, Jerry Lloyd 1 McLeod, John Bryce 1 Schonbek, Maria Elena
all top 5

#### Serials

 8 Archive for Rational Mechanics and Analysis 4 Acta Mathematica 4 Journal of Differential Equations 3 Journal of the London Mathematical Society. Second Series 3 Transactions of the American Mathematical Society 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 IMA Journal of Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of the London Mathematical Society 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Physica D 1 European Journal of Applied Mathematics 1 Journal of Nonlinear Science 1 NoDEA. Nonlinear Differential Equations and Applications 1 Nonlinear Analysis. Theory, Methods & Applications
all top 5

#### Fields

 27 Partial differential equations (35-XX) 25 Fluid mechanics (76-XX) 8 Ordinary differential equations (34-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 Integral equations (45-XX) 2 Functional analysis (46-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

43 Publications have been cited 889 times in 671 Documents Cited by Year
Decay of solutions of some nonlinear wave equations. Zbl 0689.35081
Amick, C. J.; Bona, J. L.; Schonbek, M. E.
1989
On the Stokes conjecture for the wave of extreme form. Zbl 0495.76021
Amick, C. J.; Fraenkel, L. E.; Toland, J. F.
1982
On solitary water-waves of finite amplitude. Zbl 0468.76025
Amick, C. J.; Toland, J. F.
1981
A theory of solitary water-waves in the presence of surface tension. Zbl 0666.76046
Amick, Charles J.; Kirchgässner, Klaus
1989
Uniqueness and related analytic properties for the Benjamin-Ono equation – A nonlinear Neumann problem in the plane. Zbl 0755.35108
Amick, C. J.; Toland, J. F.
1991
On periodic water-waves and their convergence to solitary waves in the long-wave limit. Zbl 0482.76029
Amick, C. J.; Toland, J. F.
1981
Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023
Amick, C. J.; Toland, J. F.
1992
Existence of solutions to the nonhomogeneous steady Navier-Stokes equations. Zbl 0563.35059
Amick, Charles J.
1984
On Leray’s problem of steady Navier-Stokes flow past a body in the plane. Zbl 0682.76027
Amick, Charles J.
1988
Regularity and uniqueness of solutions to the Boussinesq system of equations. Zbl 0557.35074
Amick, Charles J.
1984
Steady solutions of the Navier-Stokes equations in unbounded channels and pipes. Zbl 0367.76027
Amick, Charles J.
1977
A global theory of internal solitary waves in two-fluid systems. Zbl 0631.35029
Amick, C. J.; Turner, R. E. L.
1986
The uniqueness of Hill’s spherical vortex. Zbl 0609.76018
Amick, C. J.; Fraenkel, L. E.
1986
Semilinear elliptic eigenvalue problems on an infinite strip with an application to stratified fluids. Zbl 0568.35076
Amick, Charles J.
1984
Properties of steady Navier-Stokes solutions for certain unbounded channels and pipes. Zbl 0389.76026
Amick, Charles J.
1978
A singular perturbation problem in needle crystals. Zbl 0695.34060
Amick, C. J.; McLeod, J. B.
1990
Some remarks on Rellich’s theorem and the Poincaré inequality. Zbl 0391.46029
Amick, Charles J.
1978
Small internal waves in two-fluid systems. Zbl 0681.76103
Amick, C. J.; Turner, R. E. L.
1989
A global branch of steady vortex rings. Zbl 0628.76032
Amick, C. J.; Turner, R. E. L.
1988
Solitary waves with surface tension. I: Trajectories homoclinic to periodic orbits in four dimensions. Zbl 0759.76015
Amick, C. J.; Toland, J. F.
1992
Bounds for water waves. Zbl 0635.76012
Amick, C. J.
1987
Uniqueness of Benjamin’s solitary-wave solution of the Benjamin-Ono equation. Zbl 0735.35105
Amick, C. J.; Toland, J. F.
1991
On the asymptotic form of Navier-Stokes flow past a body in the plane. Zbl 0741.35055
Amick, Charles J.
1991
On the behavior near the crest of waves of extreme form. Zbl 0617.76015
Amick, C. J.; Fraenkel, L. E.
1987
Nonlinear elliptic eigenvalue problems on an infinite strip-global theory of bifurcation and asymptotic bifurcation. Zbl 0489.35067
Amick, C. J.; Toland, J. F.
1983
The uniqueness of a family of steady vortex rings. Zbl 0694.76011
Amick, C. J.; Fraenkel, L. E.
1988
The semi-analytic theory of standing waves. Zbl 0628.76016
Amick, C. J.; Toland, J. F.
1987
On the theory of internal waves of permanent form in fluids of great depth. Zbl 0829.76012
Amick, C. J.
1994
Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types. Zbl 0439.76018
Amick, C. J.; Fraenkel, L. E.
1980
Beyond all orders: Singular perturbations in a mapping. Zbl 0872.58054
Amick, C.; Ching, E. S. C.; Kadanoff, L. P.; Rom-Kedar, V.
1992
Solitary water-waves in the presence of surface tension. Zbl 0631.76017
Amick, C. J.; Kirchgässner, K.
1987
The break-up of a heteroclinic connection in a volume preserving mapping. Zbl 0783.58067
Rom-Kedar, Vered; Kadanoff, Leo P.; Ching, Emily S. C.; Amick, Charles
1993
Decomposition theorem for solenoidal vector fields. Zbl 0363.35034
Amick, Charles J.
1977
Global uniqueness of homoclinic orbits for a class of fourth order equations. Zbl 0766.34027
Amick, C. J.; Toland, J. F.
1992
Points of egress in problems of Hamiltonian dynamics. Zbl 0728.58012
Amick, C. J.; Toland, J. F.
1991
The limiting form of internal waves. Zbl 0553.76018
Amick, C. J.; Toland, J. F.
1984
On the Dirichlet problem for infinite cylinders and equations with transversely varying coefficients. Zbl 0402.35042
Amick, Charles J.
1978
Center manifolds in equations from hydrodynamics. Zbl 0822.35042
Amick, Charles J.; Turner, Robert E. L.
1994
Elliptic equations, internal waves and dynamical systems. Zbl 0699.35081
Amick, C. J.; Turner, R. E. L.
1989
Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types. Zbl 0425.35078
Amick, C. J.
1980
A differential equation in the theory of resonant oscillations of water waves. Zbl 0719.34073
Amick, C. J.; Toland, J. F.
1990
On steady Navier-Stokes flow past a body in the plane. Zbl 0603.35073
Amick, Charles J.
1986
Approximation by smooth functions in Sobolev spaces. Zbl 0423.46024
Amick, Charles J.
1979
On the theory of internal waves of permanent form in fluids of great depth. Zbl 0829.76012
Amick, C. J.
1994
Center manifolds in equations from hydrodynamics. Zbl 0822.35042
Amick, Charles J.; Turner, Robert E. L.
1994
The break-up of a heteroclinic connection in a volume preserving mapping. Zbl 0783.58067
Rom-Kedar, Vered; Kadanoff, Leo P.; Ching, Emily S. C.; Amick, Charles
1993
Homoclinic orbits in the dynamic phase-space analogy of an elastic strut. Zbl 0755.73023
Amick, C. J.; Toland, J. F.
1992
Solitary waves with surface tension. I: Trajectories homoclinic to periodic orbits in four dimensions. Zbl 0759.76015
Amick, C. J.; Toland, J. F.
1992
Beyond all orders: Singular perturbations in a mapping. Zbl 0872.58054
Amick, C.; Ching, E. S. C.; Kadanoff, L. P.; Rom-Kedar, V.
1992
Global uniqueness of homoclinic orbits for a class of fourth order equations. Zbl 0766.34027
Amick, C. J.; Toland, J. F.
1992
Uniqueness and related analytic properties for the Benjamin-Ono equation – A nonlinear Neumann problem in the plane. Zbl 0755.35108
Amick, C. J.; Toland, J. F.
1991
Uniqueness of Benjamin’s solitary-wave solution of the Benjamin-Ono equation. Zbl 0735.35105
Amick, C. J.; Toland, J. F.
1991
On the asymptotic form of Navier-Stokes flow past a body in the plane. Zbl 0741.35055
Amick, Charles J.
1991
Points of egress in problems of Hamiltonian dynamics. Zbl 0728.58012
Amick, C. J.; Toland, J. F.
1991
A singular perturbation problem in needle crystals. Zbl 0695.34060
Amick, C. J.; McLeod, J. B.
1990
A differential equation in the theory of resonant oscillations of water waves. Zbl 0719.34073
Amick, C. J.; Toland, J. F.
1990
Decay of solutions of some nonlinear wave equations. Zbl 0689.35081
Amick, C. J.; Bona, J. L.; Schonbek, M. E.
1989
A theory of solitary water-waves in the presence of surface tension. Zbl 0666.76046
Amick, Charles J.; Kirchgässner, Klaus
1989
Small internal waves in two-fluid systems. Zbl 0681.76103
Amick, C. J.; Turner, R. E. L.
1989
Elliptic equations, internal waves and dynamical systems. Zbl 0699.35081
Amick, C. J.; Turner, R. E. L.
1989
On Leray’s problem of steady Navier-Stokes flow past a body in the plane. Zbl 0682.76027
Amick, Charles J.
1988
A global branch of steady vortex rings. Zbl 0628.76032
Amick, C. J.; Turner, R. E. L.
1988
The uniqueness of a family of steady vortex rings. Zbl 0694.76011
Amick, C. J.; Fraenkel, L. E.
1988
Bounds for water waves. Zbl 0635.76012
Amick, C. J.
1987
On the behavior near the crest of waves of extreme form. Zbl 0617.76015
Amick, C. J.; Fraenkel, L. E.
1987
The semi-analytic theory of standing waves. Zbl 0628.76016
Amick, C. J.; Toland, J. F.
1987
Solitary water-waves in the presence of surface tension. Zbl 0631.76017
Amick, C. J.; Kirchgässner, K.
1987
A global theory of internal solitary waves in two-fluid systems. Zbl 0631.35029
Amick, C. J.; Turner, R. E. L.
1986
The uniqueness of Hill’s spherical vortex. Zbl 0609.76018
Amick, C. J.; Fraenkel, L. E.
1986
On steady Navier-Stokes flow past a body in the plane. Zbl 0603.35073
Amick, Charles J.
1986
Existence of solutions to the nonhomogeneous steady Navier-Stokes equations. Zbl 0563.35059
Amick, Charles J.
1984
Regularity and uniqueness of solutions to the Boussinesq system of equations. Zbl 0557.35074
Amick, Charles J.
1984
Semilinear elliptic eigenvalue problems on an infinite strip with an application to stratified fluids. Zbl 0568.35076
Amick, Charles J.
1984
The limiting form of internal waves. Zbl 0553.76018
Amick, C. J.; Toland, J. F.
1984
Nonlinear elliptic eigenvalue problems on an infinite strip-global theory of bifurcation and asymptotic bifurcation. Zbl 0489.35067
Amick, C. J.; Toland, J. F.
1983
On the Stokes conjecture for the wave of extreme form. Zbl 0495.76021
Amick, C. J.; Fraenkel, L. E.; Toland, J. F.
1982
On solitary water-waves of finite amplitude. Zbl 0468.76025
Amick, C. J.; Toland, J. F.
1981
On periodic water-waves and their convergence to solitary waves in the long-wave limit. Zbl 0482.76029
Amick, C. J.; Toland, J. F.
1981
Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types. Zbl 0439.76018
Amick, C. J.; Fraenkel, L. E.
1980
Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types. Zbl 0425.35078
Amick, C. J.
1980
Approximation by smooth functions in Sobolev spaces. Zbl 0423.46024
Amick, Charles J.
1979
Properties of steady Navier-Stokes solutions for certain unbounded channels and pipes. Zbl 0389.76026
Amick, Charles J.
1978
Some remarks on Rellich’s theorem and the Poincaré inequality. Zbl 0391.46029
Amick, Charles J.
1978
On the Dirichlet problem for infinite cylinders and equations with transversely varying coefficients. Zbl 0402.35042
Amick, Charles J.
1978
Steady solutions of the Navier-Stokes equations in unbounded channels and pipes. Zbl 0367.76027
Amick, Charles J.
1977
Decomposition theorem for solenoidal vector fields. Zbl 0363.35034
Amick, Charles J.
1977
all top 5

#### Cited by 734 Authors

 24 Amick, Charles J. 17 Pileckas, Konstantin 14 Constantin, Adrian 14 Toland, John Francis 13 Kaikina, Elena Igorevna 11 Bona, Jerry Lloyd 10 Russo, Remigio 9 Fraenkel, L. Edward 9 Korobkov, Mikhail V. 8 Escher, Joachim 8 Grimshaw, Roger Hamilton James 8 Iooss, Gérard 8 Kuznetsov, Nikolai Germanovich 8 Saut, Jean-Claude 8 Walsh, Samuel 7 Chen, Robin Ming 7 Hur, Vera Mikyoung 7 Kozlov, Vladimir A. 7 Matioc, Bogdan-Vasile 7 Strauss, Walter Alexander 7 Vărvărucă, Eugen 6 Champneys, Alan R. 6 Ehrnström, Mats 6 Hayashi, Nakao 6 Naumkin, Pavel Ivanovich 6 Turner, Robert E. L. 6 Wheeler, Miles H. 6 Zhang, Linghai 6 Zhao, Huijiang 5 Auchmuty, Giles 5 Dougalis, Vassilios A. 5 Gazzola, Filippo 5 Groves, Mark D. 5 Guo, Boling 5 Kobayashi, Teppei 5 Liu, Yue 5 Liu, Zhengrong 5 Sun, ShiMei 5 Weiss, Georg Sebastian 5 Wittwer, Peter 4 Ambrosetti, Antonio 4 Basu, Biswajit 4 Buffoni, Boris 4 Cao, Daomin 4 Cappiello, Marco 4 Craig, Walter 4 Dai, Guowei 4 Deng, Shengfu 4 Hu, Jinsong 4 Lyons, Tony 4 McLeod, John Bryce 4 Smaoui, Nejib 4 Wilkening, Jon A. 4 Xu, Li 4 Yamazaki, Masao 4 Zhu, Neng 3 Berestycki, Henri 3 Chen, Chaonien 3 Daripa, Prabir K. 3 Dias, Frédéric 3 El-Kadri, Alaa 3 Elcrat, Alan R. 3 Fokas, Athanassios S. 3 Frank, Rupert L. 3 Galdi, Giovanni Paolo 3 Gelfreich, Vasily G. 3 Guillod, Julien 3 Henry, David 3 Hu, Bing 3 Il’ichev, Andreĭ Teĭmurazovich 3 Ionescu-Kruse, Delia 3 Johnson, Mathew A. 3 Kalisch, Henrik 3 Karch, Grzegorz 3 Kataoka, Takeshi 3 Kirchgässner, Klaus 3 Kobayashi, Kenta 3 Konieczny, Paweł 3 Kristály, Alexandru 3 Le Thi Phuong Ngoc 3 Lenzmann, Enno 3 Lerman, Lev 3 Li, Yi A. 3 Li, Yuanfei 3 Lin, Changhao 3 Linares, Felipe 3 Liu, Yan 3 Lokharu, Evgeniy 3 Martel, Yvan 3 Mei, Ming 3 Mi, Yongsheng 3 Mielke, Alexander 3 Miller, Kenneth G. 3 Mu, Chunlai 3 Neustupa, Jiří 3 Nguyen Thanh Long 3 Nicola, Fabio 3 Olver, Peter John 3 Peng, Shuangjie 3 Plotnikov, Pavel I. ...and 634 more Authors
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#### Cited in 161 Serials

 51 Journal of Differential Equations 49 Archive for Rational Mechanics and Analysis 32 Physica D 28 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Journal of Fluid Mechanics 24 Journal of Mathematical Analysis and Applications 16 Nonlinear Analysis. Theory, Methods & Applications 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 14 Journal of Mathematical Fluid Mechanics 11 Applicable Analysis 11 Mathematische Annalen 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Applied Mathematics and Computation 10 Studies in Applied Mathematics 10 Discrete and Continuous Dynamical Systems 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Mathematical Methods in the Applied Sciences 9 Journal of Functional Analysis 9 Transactions of the American Mathematical Society 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Applied Mathematics Letters 8 SIAM Journal on Mathematical Analysis 7 Acta Mathematica 7 Communications in Partial Differential Equations 7 European Journal of Mechanics. B. Fluids 6 Journal of Dynamics and Differential Equations 6 Journal of Nonlinear Science 5 Communications in Mathematical Physics 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Computational and Applied Mathematics 5 Quarterly of Applied Mathematics 5 Journal of Nonlinear Mathematical Physics 5 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Mathematics 4 Journal of Mathematical Physics 4 Nonlinearity 4 Physics of Fluids, A 4 Advances in Mathematics 4 Mathematics and Computers in Simulation 4 Acta Applicandae Mathematicae 4 European Journal of Applied Mathematics 4 Calculus of Variations and Partial Differential Equations 4 Chaos 4 Communications on Pure and Applied Analysis 4 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Wave Motion 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Monatshefte für Mathematik 3 Rendiconti del Seminario Matematico della Università di Padova 3 Tokyo Journal of Mathematics 3 Chinese Annals of Mathematics. Series B 3 Acta Mathematicae Applicatae Sinica. English Series 3 Mathematical and Computer Modelling 3 Applied Mathematical Modelling 3 Journal of Mathematical Sciences (New York) 3 NoDEA. Nonlinear Differential Equations and Applications 3 Acta Mathematica Sinica. English Series 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Water Waves 2 Fluid Dynamics 2 Journal of Computational Physics 2 Journal of Engineering Mathematics 2 Mathematical Notes 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Theoretical and Computational Fluid Dynamics 2 Chaos, Solitons and Fractals 2 Inventiones Mathematicae 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Numerical Functional Analysis and Optimization 2 Proceedings of the American Mathematical Society 2 Applied Mathematics and Mechanics. (English Edition) 2 Applications of Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Bulletin of the American Mathematical Society. New Series 2 Physics of Fluids 2 Doklady Mathematics 2 Nonlinear Dynamics 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Annals of Mathematics. Second Series 2 Nonlinear Analysis. Real World Applications 2 Journal of Evolution Equations 2 Boundary Value Problems 1 Computers & Mathematics with Applications 1 International Journal of Control 1 International Journal of Engineering Science 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Lithuanian Mathematical Journal 1 Studia Mathematica 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal ...and 61 more Serials
all top 5

#### Cited in 36 Fields

 507 Partial differential equations (35-XX) 375 Fluid mechanics (76-XX) 66 Dynamical systems and ergodic theory (37-XX) 63 Ordinary differential equations (34-XX) 32 Numerical analysis (65-XX) 20 Functional analysis (46-XX) 13 Operator theory (47-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Mechanics of deformable solids (74-XX) 12 Integral equations (45-XX) 12 Geophysics (86-XX) 10 Mechanics of particles and systems (70-XX) 10 Systems theory; control (93-XX) 9 Real functions (26-XX) 7 Potential theory (31-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 3 Functions of a complex variable (30-XX) 3 Special functions (33-XX) 3 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Astronomy and astrophysics (85-XX)