Reaction-diffusion equations underpin the modelling of a vast array of natural and engineered phenomena, ranging from the spread of invasive species and epidemic outbreaks to phase transitions in ...
This is a preview. Log in through your library . Abstract We carry out an asymptotic analysis as t → ∞ for the nonlinear advection diffusion equation, ∂tu = 2αu∂xu + ∂x(u∂xu), where α is a constant.