Localized spatial patterns commonly occur for various classes of linear and nonlinear
diffusive processes. In particular, localized spot patterns, where the solution concentrates at …

This work concerns the numerical solution of a coupled system of self-consistent reaction–
drift–diffusion–Poisson equations that describes the macroscopic dynamics of charge …

We derive a thermodynamically consistent model for liquid-solid phase change in sea ice by
incorporating a phase sensitive scalar to a classical framework of liquid-solid phase change …

We analyze a singularly perturbed reaction-diffusion system in the semistrong diffusion
regime in two spatial dimensions where an activator species is localized to a closed curve …

We present a systematic derivation of the gradient flows associated to a broad class of
interfacial energies, emphasizing the relation between intrinsic and extrinsic variations of the …