4 papers
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…
A flexible error estimate for the application of centre manifold theory
Zhenquan Li, A. J. Roberts
In applications of centre manifold theory we need more flexible error estimates than that provided by, for example, the Approximation Theorem~3 by Carr (1981,1983). Here we extend…
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…
The Accurate Modelling of Thin 3D Fluid Flows with Inertia on Curved Substrates
Zhenquan Li, A. J. Roberts
Models and simulations of the flow of thin films of fluids have many important applications in industrial and natural processes. We consider the motion of a thin layer of an incomp…