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.
We consider one-dimensional reaction-diffusion equations for a large class of spatially periodic nonlinearities – including multi-stable ones – and study the asymptotic behavior of solutions with ...