Reaction-diffusion systems represent a fundamental mathematical framework to model the interplay between local reactive processes and diffusive transport of substances. These systems have wide-ranging ...

The past decade has seen researchers develop and apply novel technologies for biomolecular detection, at times approaching hard limits imposed by physics and chemistry. In nearly all sensors, the ...

This is a preview. Log in through your library . Abstract We establish residual a posteriori error estimates for lowest-order Raviart-Thomas mixed finite element ...

The purpose of The Annals of Probability is to publish contributions to the theory of probability and statistics and their applications. The emphasis is on importance and interest; formal novelty and ...

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 ...

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 ...

Local reaction-global diffusion enables the effective in-situ Mg-vacancy elimination during spark plasma sintering, promoting the remarkable enhancement in carrier mobility and figure-of-merits with ...