Many problems in mathematics and science require the use of infinite-dimensional spaces.
Consequently, there is need for an analogue of the finite-dimensional notions of 'Lebesgue …

We consider a continuum of diffusively coupled oscillators on a circle. When each oscillator
is of Lienard type, very little is known about the corresponding hyperbolic POE. When each …

This article is a summary of our numerical and theoretical studies (which were done in
various collaborations with Alan Bishop, Nick Ercolani, Greg Forest, and Steve Wiggins) of …

Let L s L u be a linear differential operator acting on functions u: ª that are defined on a fixed
manifold. These functions will belong to a Ž. certain family B; F,, and the definition of B may …

The persistence of homoclinic orbits for certain perturbations of the integrable nonlinear
Schrijdinger equation under even periodic boundary conditions is established. More …

In a series of recent papers, some of the authors have addressed with mathematical rigor
some aspects of the primitive equations governing the large-scale atmospheric motion …

The Navier-Stokes equation driven by heat conduction is studied. It is proven that if the
driving force is small then the solutions of the Navier-Stokes equation are ultimately regular …

A realistic model of a doped quantum well heterostructure exhibits a subharmonic signal in
the presence of intense far-infrared radiation. Nonlinearity enters the model through the …

Symmetry and mechanics have been close partners since the time of the founding masters:
Newton, Euler, Lagrange, Laplace, Poisson, Jacobi, Hamilton, Kelvin, Routh, Riemann …

A pullback random attractor is called forward controllable if its time-component is semi-
continuous to a compact set in the future, and the minimum among all such compact limit …