C. E. Wayne

C. E. Wayne, T. Gallay, Eugene Wayne, 2001, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

Dynamics of a Ring of Diffusively Coupled Lorenz Oscillators

K. Josić, C. E. Wayne, C. Eugene Wayne, 1999, cond-mat/9905140.

Rigorous Justification of Taylor Dispersion via Center Manifolds and Hypocoercivity

Osman Chaudhary, C. E. Wayne, M. Beck, 2019, Archive for Rational Mechanics and Analysis.

Cohomology equations and commutators of germs of contact diffeomorphisms

R. Llave, A. Banyaga, C. E. Wayne, 1989 .

Liapunov spectra for infinite chains of nonlinear oscillators

J. Eckmann, C. E. Wayne, 1988 .

Localization in disordered, nonlinear dynamical systems

J. Fröhlich, C. E. Wayne, T. Spencer, 1986 .

Newton's method and periodic solutions of nonlinear wave equations

Walter Craig, C. Eugene Wayne, W. Craig, 1993 .

Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory

C. Eugene Wayne, C. E. Wayne, C. Eugene Wayne, 1990 .

An invariant torus for nearly integrable Hamiltonian systems with infinitely many degrees of freedom

J. Fröhlich, C. E. Wayne, T. Spencer, 1986 .

Orbital stability of localized structures via Bäcklund transfomations

C. E. Wayne, A. Hoffman, 2012, Differential and Integral Equations.

Asymptotic stability of the Toda m-soliton

C. E. Wayne, G. Benes, A. Hoffman, 2010, 1010.5775.

Corrigendum: Long‐Wave Limit for the Water Wave Problem I. The Case of Zero Surface Tension

G. Schneider, C. E. Wayne, 2012 .

Asymptotic approximation of a modified compressible Navier-Stokes system

Ryan N. Goh, C. E. Wayne, R. Welter, 2020, 2012.12966.

Whiskered and low dimensional tori in nearly integrable Hamiltonian systems.

R. Llave, C. E. Wayne, 2004 .

Coherent Motions in the Fermi-Pasta-Ulam Model C

C. E. Wayne, 2008 .

An Explanation of Metastability in the Viscous Burgers Equation with Periodic Boundary Conditions via a Spectral Analysis

C. Eugene Wayne, Kelly McQuighan, C. E. Wayne, 2016, SIAM J. Appl. Dyn. Syst..

Dynamical Systems and the Two-Dimensional Navier-Stokes Equations

C. E. Wayne, Gene Wayne, 2015 .

Metastability and rapid convergence to quasi-stationary bar states for the 2D Navier-Stokes Equations

C. E. Wayne, M. Beck, 2011, 1108.3416.

Vortices and two-dimensional fluid motion

C. Eugene Wayne, C. E. Wayne, 2011 .

Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation with Small Viscosity

Margaret Beck, C. Eugene Wayne, C. E. Wayne, 2008, SIAM Rev..

The non-linear stability of front solutions for parabolic partial differential equations

J. Eckmann, C. E. Wayne, 1994 .

Propagating fronts and the center manifold theorem

J. Eckmann, C. E. Wayne, 1991 .

Scaling Theory for Noisy Period-Doubling Transitions to Chaos

C. Eugene Wayne, Boris I. Shraiman, Paul C. Martin, 1981 .

Invariant Manifolds for a Class of Dispersive, Hamiltonian, Partial Differential Equations

C. E. Wayne, C. Pillet, 1997 .

Weak Chaos and Quasi-Regular Patterns. By G. M. ZASLAVSKY, R. Z. SAGDEEV, D. A. USIKOV and A. A CHERNIKOV. Cambridge University Press, 1991. 253 pp. £40 or $75

C. Eugene Wayne, D. A. Usikov, A. A. Chernikov, 1992, Journal of Fluid Mechanics.

Critical Points of Strichartz Functional

C. Eugene Wayne, Vadim Zharnitsky, C. E. Wayne, 2017, Exp. Math..

Damped and driven breathers and metastability

Daniel A. Caballero, C. E. Wayne, 2021, Quarterly of Applied Mathematics.

Decay of Hamiltonian Breathers Under Dissipation

J. Eckmann, C. E. Wayne, 2019, Communications in Mathematical Physics.

Breathers as Metastable States for the Discrete NLS equation

J. Eckmann, C. E. Wayne, 2017, 1710.10999.

On the elimination of non-resonance harmonics

C. E. Wayne, 1986 .

The KAM theory of systems with short range interactions, I

C. E. Wayne, 1984 .

The KAM theory of systems with short range interactions, II

C. E. Wayne, 1984 .

Inverse spectral theory for uniformly open gaps in a weighted Sturm–Liouville problem

C. E. Wayne, M. Chirilus-Bruckner, 2015 .

Counter-propagating Waves on Fluid Surfaces and the Continuum Limit of the Fermi-Pasta-Ulam Model

Guido Schneider, C. Eugene Wayne, G. Schneider, 2000 .

A multi-moment vortex method for 2D viscous fluids

David Uminsky, C. Eugene Wayne, Alethea B. T. Barbaro, 2010, J. Comput. Phys..

Generalized Helmholtz-Kirchhoff Model for Two-Dimensional Distributed Vortex Motion

David Uminsky, C. Eugene Wayne, Raymond J. Nagem, 2008, SIAM J. Appl. Dyn. Syst..

Existence and Stability of Traveling Fronts in the Extended Fisher-Kolmogorov Equation

V. Rottschäfer, C. E. Wayne, 2001 .

On the stability of dense point spectrum for self‐adjoint operators

L. Thomas, C. E. Wayne, L. E. Thomas, 1986 .

Periodic Solutions of Nonlinear Partial Differential Equations

C. E. Wayne, 1998 .

Higher Order Modulation Equations for a Boussinesq Equation

C. Eugene Wayne, J. Douglas Wright, C. E. Wayne, 2002, SIAM J. Appl. Dyn. Syst..

Kawahara dynamics in dispersive media

Guido Schneider, C. Eugene Wayne, G. Schneider, 2001 .

Dissipative Partial Differential Equations and Dynamical Systems

C. E. Wayne, 2012 .

Infinite dimensional dynamical systems and the Navier–Stokes equation

C. E. Wayne, 2008 .

An Introduction to KAM Theory

C. Eugene Wayne, C. E. Wayne, 1994 .

The largest Liapunov exponent for random matrices and directed polymers in a random environment

J. Eckmann, C. E. Wayne, 1989 .

Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations

Margaret Beck, C. Eugene Wayne, C. E. Wayne, 2013, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Relative Equilibria of the (1+N)-Vortex Problem

G. R. Hall, C. E. Wayne, A. Barry, 2011, Journal of Nonlinear Science.

Relative Equilibria of the (1+N)-Vortex Problem

C. Eugene Wayne, Glen R. Hall, Anna M. Barry, 2010, J. Nonlinear Sci..

Boundary controllability of Maxwell's equations with nonzero conductivity inside a cube, I Spectral controllability

S. S. Krigman, C. E. Wayne, 2007 .

Reduced equations for models of laminated materials in thin domains. II

R. DeVille, C. E. Wayne, 2005 .

Long-time approximations of small-amplitude, long-wavelength FPUT solutions

C. E. Wayne, Trevor Norton, 2023, Discrete and Continuous Dynamical Systems.

Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations

J. Bona, K. Promislow, C. E. Wayne, 1995 .

Workshop on Mathematical Hydrodynamics

A. Fursikov, P. Gérard, W. Craig, 2007 .

Cohomology equations near hyperbolic points and geometric versions of sternberg linearization theorem

R. Llave, A. Banyaga, C. E. Wayne, 1996 .

Sergei Borisovich Kuksin

Andrey L. Piatnitski, T. Kappeler, I. Chueshov, 2016 .

Rigorous Justification of Taylor Dispersion via Center Manifolds and Hypocoercivity

Osman Chaudhary, C. E. Wayne, M. Beck, 2018, Archive for Rational Mechanics and Analysis.

Normal forms for parabolic partial differential equations

J. Eckmann, H. Epstein, C. E. Wayne, 1993 .

Mathematical aspects of surface water waves

W. Craig, C. E. Wayne, 2007 .

Phase Slips and the Eckhaus Instability

J. Eckmann, C. E. Wayne, T. Gallay, 1995, patt-sol/9503001.