61 citations · 202 across the 47 of their papers we have counts for
4 papers · 2 filters
The accurate and comprehensive model of thin fluid flows with inertia on curved substrates
A. J. Roberts, Zhenquan Li
Consider the 3D flow of a viscous Newtonian fluid upon a curved 2D substrate when the fluid film is thin as occurs in many draining, coating and biological flows. We derive a compr…
Advection-dispersion in symmetric field-flow fractionation channels
S. A. Suslov, A. J. Roberts
We model the evolution of the concentration field of macromolecules in a symmetric field-flow fractionation (FFF) channel by a one-dimensional advection-diffusion equation. The coe…
Holistic finite differences ensure fidelity to Burger's equation
A. J. Roberts
I analyse a generalised Burger's equation to develop an accurate finite difference approximation to its dynamics. The analysis is based upon centre manifold theory so we are assure…
Computer algebra derives correct initial conditions for low-dimensional dynamical models
A. J. Roberts
To ease analysis and simulation we make low-dimensional models of complicated dynamical systems. Centre manifold theory provides a systematic basis for the reduction of dimensional…