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nlin.PS2003★ 13 cited
Shear dispersion along circular pipes is affected by bends, but the torsion of the pipe is negligible
A. J. Roberts
The flow of a viscous fluid along a curving pipe of fixed radius is driven by a pressure gradient. For a generally curving pipe it is the fluid flux which is constant along the pip…
math-ph2003
Low-dimensional modelling of a generalized Burgers equation
Zhenquan Li, A. J. Roberts
Burgers equation is one of the simplest nonlinear partial differential equations-it combines the basic processes of diffusion and nonlinear steepening. In some applications it is a…
math.DS2003
A step towards holistic discretisation of stochastic partial differential equations
A. J. Roberts
The long term aim is to use modern dynamical systems theory to derive discretisations of noisy, dissipative partial differential equations. As a first step we here consider a small…