17 citations · 17 across the 2 of their papers we have counts for
8 papers
Localized radial roll patterns in higher space dimensions
Jason J. Bramburger, Dylan Altschuler, Chloe I. Avery +4
Localized roll patterns are structures that exhibit a spatially periodic profile in their center. When following such patterns in a system parameter in one space dimension, the len…
Validated spectral stability via conjugate points
Margaret Beck, Jonathan Jaquette
Classical results from Sturm-Liouville theory state that the number of unstable eigenvalues of a scalar, second-order linear operator is equal to the number of associated conjugate…
Spectral stability and spatial dynamics in partial differential equations
Margaret Beck
This article is focused on two related topics within the study of partial differential equations (PDEs) that illustrate a beautiful connection between dynamics, topology, and analy…
Exponential dichotomies for elliptic PDE on radial domains
Margaret Beck, Graham Cox, Christopher Jones +2
It was recently shown by the authors that a semilinear elliptic equation can be represented as an infinite-dimensional dynamical system in terms of boundary data on a shrinking one…
A dynamical approach to semilinear elliptic equations
Margaret Beck, Graham Cox, Christopher Jones +2
A characterization of a semilinear elliptic partial differential equation (PDE) on a bounded domain in is given in terms of an infinite-dimensional dynamical system.…
Selection of quasi-stationary states in the stochastically forced Navier-Stokes equation on the torus
Margaret Beck, Eric Cooper, Gabriel Lord +1
The stochastically forced vorticity equation associated with the two dimensional incompressible Navier-Stokes equation on is considered for …