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 The reaction-diffusion master equation (RDME) has recently been used as a model for biological systems in which both noise in the chemical ...

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 ...

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 ...

Porous media play a critical role in various industrial fields due to their complex pore networks and considerable specific surface areas. The transport and reaction phenomena within porous media are ...

For numerous fundamental processes of life, the formation of certain protein patterns is essential. Protein pattern formation controlled by molecular switches is—like many processes in nature—far ...

Schematic of the local-reaction global-diffusion concept and performances of the Mg 3 (Sb,Bi) 2-based modules in power generation and thermoelectric cooling. The authors acknowledge funding from the ...