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 paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

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 ...

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 ...

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 ...