18 citations · 24 across the 4 of their papers we have counts for
4 papers
Continuum model for radial interface growth
M. T. Batchelor, B. I. Henry, S. D. Watt
A stochastic partial differential equation along the lines of the Kardar-Parisi-Zhang equation is introduced for the evolution of a growing interface in a radial geometry. Regular…
Surface width scaling in noise reduced Eden clusters
M. T. Batchelor, B. I. Henry, S. D. Watt
The surface width scaling of Eden A clusters grown from a single aggregate site on the square lattice is investigated as a function of the noise reduction parameter. A two-exponent…
Mean field analysis of Williams-Bjerknes type growth
M. T. Batchelor, B. I. Henry, S. D. Watt
We investigate a class of stochastic growth models involving competition between two phases in which one of the phases has a competitive advantage. The equilibrium populations of t…
The Construction of Zonal Models of Dispersion in Channels via Matched Centre Manifolds
S. D. Watt, A. J. Roberts
Taylor's model of dispersion simply describes the long-term spread of material along a pipe, channel or river. However, often we need multi-mode models to resolve finer details in…