The forward and backward conditioned diffusion equations relative to the event of the process attaining absorption in one of the boundaries have been derived from the corresponding Kolmogorov ...

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 ...

Observing nature shows that many temporal and spatial structures are not formed by the outside, but rather by the respective system itself. To study these self-organizing processes is the subject of ...

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.