Zobrazeno 1 - 10
of 493
pro vyhledávání: '"C. Eugène"'
Autor:
Norton, Trevor, Wayne, C. Eugene
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 (FPUT) lattices. Explicit approximation estimates and other such results
Externí odkaz:
http://arxiv.org/abs/2306.14999
Autor:
Caballero, Daniel A., Wayne, C. Eugene
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 provide an alternate description of the metastable behavior in such la
Externí odkaz:
http://arxiv.org/abs/2101.10999
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 momentum field into its irrotational and incompressible parts, and a
Externí odkaz:
http://arxiv.org/abs/2012.12966
Autor:
Eckmann, Jean-Pierre, Wayne, C. Eugene
We study metastable behavior in a discrete nonlinear Schr\"odinger equation from the viewpoint of Hamiltonian systems theory. When there are $n < \infty$ sites in this equation, we consider initial conditions in which almost all the energy is concent
Externí odkaz:
http://arxiv.org/abs/1907.12632
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 diffusion at a rate proportional to $1/\nu$, which is much faster tha
Externí odkaz:
http://arxiv.org/abs/1804.06916
Autor:
Goh, Ryan, Wayne, C. Eugene
We study the Boussinesq approximation for rapidly rotating stably-stratified fluids in a three dimensional infinite layer with either stress-free or periodic boundary conditions in the vertical direction. For initial conditions satisfying a certain q
Externí odkaz:
http://arxiv.org/abs/1802.05369
Autor:
Wayne, C. Eugene, Zharnitsky, Vadim
We study a pair of infinite dimensional dynamical systems naturally associated with the study of minimizing/maximizing functions for the Strichartz inequalities for the Schr\"odinger equation. One system is of gradient type and the other one is a Ham
Externí odkaz:
http://arxiv.org/abs/1712.07239
Autor:
Eckmann, Jean-Pierre, Wayne, C. Eugene
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 many degrees of freedom. We investigate this question in a very simple mo
Externí odkaz:
http://arxiv.org/abs/1710.10999
We discuss, in the context of energy flow in high-dimensional systems and Kolmogorov-Arnol'd-Moser (KAM) theory, the behavior of a chain of rotators (rotors) which is purely Hamiltonian, apart from dissipation at just one end. We derive bounds on the
Externí odkaz:
http://arxiv.org/abs/1702.06464
Autor:
Cummings, Patrick, Wayne, C. Eugene
We consider a model equation from [14] that captures important properties of the water wave equation. We give a new proof of the fact that wave packet solutions of this equation are approximated by the nonlinear Schrodinger equation. This proof both
Externí odkaz:
http://arxiv.org/abs/1606.00028