222 citations · 403 across the 24 of their papers we have counts for
26 papers
Long-Time approximations of small-amplitude, long-wavelength FPUT solutions
Trevor Norton, C. Eugene Wayne
It is well known that the Korteweg-de Vries (KdV) equation and its generalizations serve as modulation equations for traveling wave solutions to generic Fermi-Pasta-Ulam-Tsingou (F…
Damped and Driven Breathers and Metastability
Daniel A. Caballero, C. Eugene Wayne
In this article we prove the existence of a new family of periodic solutions for discrete, nonlinear Schrodinger equations subject to spatially localized driving and damping. They…
Asymptotic approximation of a modified compressible Navier-Stokes system
Ryan Goh, C. Eugene Wayne, Roland Welter
We study the long time asymptotics of a modified compressible Navier-Stokes system (mcNS) inspired by the previous work of Hoff and Zumbrun. We introduce a new decomposition of the…
Decay of Hamiltonian Breathers under Dissipation
Jean-Pierre Eckmann, C. Eugene Wayne
We study metastable behavior in a discrete nonlinear Schrödinger equation from the viewpoint of Hamiltonian systems theory. When there are sites in this equation, we c…
Rigorous justification of Taylor dispersion via center manifolds and hypocoercivity
Margaret Beck, Osman Chaudhary, C. Eugene Wayne
Taylor diffusion (or dispersion) refers to a phenomenon discovered experimentally by Taylor in the 1950s where a solute dropped into a pipe with a background shear flow experiences…
Breathers as Metastable States for the Discrete NLS equation
Jean-Pierre Eckmann, C. Eugene Wayne
We study metastable motions in weakly damped Hamiltonian systems. These are believed to inhibit the transport of energy through Hamiltonian, or nearly Hamiltonian, systems with man…