17 citations · 17 across the 2 of their papers we have counts for
4 papers · 1 filter
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.…
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…
Nonlinear stability of source defects in oscillatory media
Margaret Beck, Toan T. Nguyen, Björn Sandstede +1
In this paper, we prove the nonlinear stability under localized perturbations of spectrally stable time-periodic source defects of reaction-diffusion systems. Consisting of a core…