C. J. Amick

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All published works

Action	Title	Year	Authors
+	Center manifolds in equations from hydrodynamics	1994	C. J. Amick R. E. Turner
+	The break-up of a heteroclinic connection in a volume preserving mapping	1993	Vered Rom‐Kedar Leo P. Kadanoff Emily S. C. Ching C. J. Amick
+	Global uniqueness of homoclinic orbits for a class of fourth order equations	1992	C. J. Amick John Toland
+	Homoclinic orbits in the dynamic phase-space analogy of an elastic strut	1992	C. J. Amick John Toland
+ PDF Chat	Beyond all orders: Singular perturbations in a mapping	1992	C. J. Amick Emily S. C. Ching Leo P. Kadanoff Vered Rom‐Kedar
+	Solitary waves with surface tension I: Trajectories homoclinic to periodic orbits in four dimensions	1992	C. J. Amick John Toland
+	Points of egress in problems of Hamiltonian dynamics	1991	C. J. Amick John Toland
+ PDF Chat	Uniqueness and related analytic properties for the Benjamin-Ono equation —a nonlinear Neumann problem in the plane	1991	C. J. Amick John Toland
+	Uniqueness of Benjamin's Solitary-Wave Solution of the Benjamin-Ono Equation	1991	C. J. Amick John Toland
+	A singular perturbation problem in needle crystals	1990	C. J. Amick J. B. McLeod
+	A differential equation in the theory of resonant oscillations of water waves	1990	C. J. Amick John Toland
+	Decay of solutions of some nonlinear wave equations	1989	C. J. Amick Jerry L. Bona María E. Schonbek
+	Small internal waves in two-fluid systems	1989	C. J. Amick R. E. Turner
+	The Uniqueness of Hill’s Spherical Vortex	1989	C. J. Amick L. E. Fraenkel
+	The uniqueness of a family of steady vortex rings	1988	C. J. Amick L. E. Fraenkel
+ PDF Chat	On the behavior near the crest of waves of extreme form	1987	C. J. Amick L. E. Fraenkel
+ PDF Chat	On the Behavior Near the Crest of Waves of Extreme Form	1987	C. J. Amick L. E. Fraenkel
+ PDF Chat	A Global Theory of Internal Solitary Waves in Two-Fluid Systems	1986	C. J. Amick R. E. Turner
+	The uniqueness of Hill's spherical vortex	1986	C. J. Amick L. E. Fraenkel
+ PDF Chat	A global theory of internal solitary waves in two-fluid systems	1986	C. J. Amick R. E. Turner
+	On steady Navier-Stokes flow past a body in the plane	1986	C. J. Amick
+	Regularity and uniqueness of solutions to the Boussinesq system of equations	1984	C. J. Amick
+	Existence of Solutions to the Nonhomogeneous Steady Navier-Stokes Equations.	1983	C. J. Amick
+	Nonlinear elliptic eigenvalue problems on an infinite strip ? Global theory of bifurcation and asymptotic bifurcation	1983	C. J. Amick John Toland
+ PDF Chat	On the stokes conjecture for the wave of extreme form	1982	C. J. Amick L. E. Fraenkel John Toland
+	On periodic water-waves and their convergence to solitary waves in the long-wave limit	1981	C. J. Amick John Toland
+	An Existence Theorem for a Certain Class of Nonlinear Multipoint Boundary-Value Problems	1980	C. J. Amick
+ PDF Chat	Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types	1980	C. J. Amick L. E. Fraenkel
+ PDF Chat	Steady solutions of the Navier-Stokes equations representing plane flow in channels of various types	1980	C. J. Amick
+	Approximation by Smooth Functions in Sobolev Spaces	1979	C. J. Amick
+	Finite-Amplitude Solitary Water Waves.	1979	C. J. Amick John Toland
+	Properties of steady Navier–Stokes solutions for certain unbounded channels and pipes	1978	C. J. Amick
+	On the Dirichlet problem for infinite cylinders and equations with transversely varying coefficients	1978	C. J. Amick
+	Some Remarks on Rellich's Theorem and the Poincaré Inequality	1978	C. J. Amick
+	Decomposition Theorems for Solenoidal Vector Fields	1977	C. J. Amick

Common Coauthors

Coauthor	Papers Together
John Toland	11
L. E. Fraenkel	7
R. E. Turner	4
Emily S. C. Ching	2
Leo P. Kadanoff	2
Vered Rom‐Kedar	2
María E. Schonbek	1
Jerry L. Bona	1
J. B. McLeod	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I	1959	Shmuel Agmon Avron Douglis Louis Nirenberg	5
+	On a theory of laminar flow in channels of a certain class	1973	L. E. Fraenkel P. M. Eagles	4
+	On the existence of a wave of greatest height and Stokes’s conjecture	1978	John Toland	4
+	On periodic water-waves and their convergence to solitary waves in the long-wave limit	1981	C. J. Amick John Toland	4
+	Properties of steady Navier–Stokes solutions for certain unbounded channels and pipes	1978	C. J. Amick	3
+	The Stokes and Krasovskii Conjectures for the Wave of Greatest Height	1997	J. B. McLeod	3
+ PDF Chat	On the stokes conjecture for the wave of extreme form	1982	C. J. Amick L. E. Fraenkel John Toland	3
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg	3
+	Wave-solutions of reversible systems and applications	1982	Klaus Kirchgässner	3
+ PDF Chat	Vortex rings: existence and asymptotic estimates	1981	Avner Friedman Bruce Turkington	3
+	Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems	1984	Helmut Hofer John Toland	3
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	3
+	The $L_p$ approach to the Dirichlet problem. Part I : regularity theorems	1959	Shmuel Agmon	3
+	Existence of perturbed solitary wave solutions to a model equation for water waves	1988	John K. Hunter Jürgen Scheurle	3
+	A singular perturbation problem in needle crystals	1990	C. J. Amick J. B. McLeod	3
+	A unified theory of conjugate flows	1971	T. Brooke Benjamin	3
+	Some global results for nonlinear eigenvalue problems	1971	Paul H. Rabinowitz	3
+	Existence of symmetric homoclinic orbits for systems of Euler-Langrange equations	1986	John Toland	2
+ PDF Chat	Periodic solutions for a class of Lorenz–Lagrangian systems	1988	John Toland	2
+ PDF Chat	Variational Problems with Two Phases and their Free Boundaries	1984	Hans Wilhelm Alt Luis Caffarelli Avner Friedman	2
+	The Asymptotic Solution of a Connection Problem of a Second Order Ordinary Differential Equation	1989	J. G. B. Byatt‐Smith	2
+	Water waves for small surface tension: an approach via normal form	1992	Gérard Iooss Klaus Kirchgässner	2
+	An $L^p$ -estimate for the gradient of solutions of second order elliptic divergence equations	1963	Norman G. Meyers	2
+	Reduction of quasilinear elliptic equations in cylindrical domains with applications	1988	Alexander Mielke	2
+	Free oscillations of prescribed energy at a saddle-point of the potential in Hamiltonian dynamics	1985	Helmut Hofer John Toland	2
+ PDF Chat	Exponentially small splittings of separatrices with applications to KAM theory and degenerate bifurcations	1988	Philip Holmes Jerrold E. Marsden Jürgen Scheurle	2
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	1977	David Gilbarg Neil S. Trudinger	2
+	Existence of symmetric homoclinic orbits for systems of Euler-Lagrange equations.	1986	John Toland	2
+	On Elliptic Partial Differential Equations	2011	Louis Nirenberg	2
+	On the stationary solutions of the Navier-Stokes equations in two dimensions	1967	Robert Finn Donald R. Smith	2
+ PDF Chat	Chaotic numerics from an integrable Hamiltonian system	1990	Kevin Hockett	2
+	Nonlinear elliptic problems in strip-like domains: symmetry of positive vortex rings	1983	Maria J. Esteban	2
+ PDF Chat	A global branch of solutions to a semilinear equation on an unbounded interval	1985	C. A. Stuart	2
+	Asymptotic estimates for the plasma problem	1980	Luis Caffarelli Avner Friedman	2
+	Multiple Integrals in the Calculus of Variations	1966	Charles B. Morrey	2
+ PDF Chat	The splitting of separatrices for analytic diffeomorphisms	1990	Ernest Fontich Carles Simö	2
+ PDF Chat	On uniqueness questions in the theory of viscous flow	1976	John G. Heywood	2
+	On the existence theory for irrotational water waves	1978	Grant Keady J. Norbury	2
+	Partial Differential Equations	2022	Avner Friedman	2
+	On the motion of non-homogeneous fluids in the presence of diffusion	1982	H. Beirão da Veiga Raul Serapioni Alberto Valli	2
+	On the existence of global vortex rings	1980	Wei‐Ming Ni	2
+ PDF Chat	The asymptotic behavior near the crest of waves of extreme form	1987	John Mcleod	2
+ PDF Chat	Transport in two-dimensional maps	1990	Vered Rom‐Kedar Stephen Wiggins	2
+	Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields	1983	John Guckenheimer Philip Holmes	2
+	A reduction principle for nonautonomous systems in infinite-dimensional spaces	1986	Alexander Mielke	2
+	ASYMPTOTIC PROPERTIES OF LERAY'S SOLUTION OF THE STATIONARY TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS	1974	David Gilbarg Hans F. Weinberger	2
+	Regularity in elliptic free boundary problems I	1978	David Kinderlehrer Louis Nirenberg Joel Spruck	2
+	Maximum Principles in Differential Equations	1984	Murray H. Protter Hans F. Weinberger	2
+	The separation of motions in systems with rapidly rotating phase	1984	А. И. Нейштадт	2
+	Recent contributions to nonlinear partial differential equations	1981	Henri Berestycki Haı̈m Brezis	2