84 citations · 563 across the 29 of their papers we have counts for
30 papers
Self-similar blow-up solutions in the generalized Korteweg-de Vries equation: Spectral analysis, normal form and asymptotics
S. Jon Chapman, M. Kavousanakis, E. G. Charalampidis +2
In the present work we revisit the problem of the generalized Korteweg-de Vries equation parametrically, as a function of the relevant nonlinearity exponent, to examine the emergen…
Derivation of a macroscopic model for Brownian hard needles
Maria Bruna, S. Jon Chapman, Markus Schmidtchen
We study the role of anisotropic steric interactions in a system of hard Brownian needles. Despite having no volume, non-overlapping needles exclude a volume in configuration space…
A Spectral Analysis of the Nonlinear Schroedinger Equation in the Co-Exploding Frame
S. J. Chapman, M. E. Kavousanakis, E. G. Charalampidis +2
The nonlinear Schroedinger model is a prototypical dispersive wave equation that features finite time blowup, either for supercritical exponents (for fixed dimension) or for superc…
Homogenisation of spirally-wound high-contrast layered materials
Steven Psaltis, Robert Timms, Colin Please +1
Asymptotic homogenisation is used to systematically derive reduced-order macroscopic models of conductive behaviour in spirally-wound layered materials in which the layers have ver…
A Normal Form for the Onset of Collapse: the Prototypical Example of the Nonlinear Schrodinger Equation
S. J. Chapman, M. E. Kavousanakis, I. G. Kevrekidis +1
The study of nonlinear waves that collapse in finite time is a theme of universal interest, e.g. within optical, atomic, plasma physics, and nonlinear dynamics. Here we revisit the…
Asymptotic Reduction of a Lithium-ion Pouch Cell Model
Robert Timms, Scott G. Marquis, Valentin Sulzer +2
A three-dimensional model of a single-layer lithium-ion pouch cell is presented which couples conventional porous electrode theory describing cell electrochemical behaviour with an…