We study the well-posedness for solutions of an initial-value boundary problem on a two-dimensional space with source functions associated to nonlinear fractional diffusion equations Riemann-Liouville derivative and nonlinearities memory domain. In order derive existence uniqueness solutions, we mainly proceed reasonable choices Hilbert spaces Banach fixed point principle. Main results related ...

Abstract This work’s major intention is the investigation of well-posedness certain cross-diffusion equations in class bounded functions. More precisely, we show existence, uniqueness and stability weak solutions under a smallness assumption on intial data. As an application, provide new theory for diffusion-dominant system that originates from hopping model with size exclusions. Our approach b...

The present paper describes a method for utilizing X-ray diiraction measurements to determine the diiusion constant D associated with a speciic diffusion mechanism. In particular, for Cd 1?x Mn x Te quantum well structures a value of D 0:5 A 2 s ?1 was obtained for a vacancy controlled diiusion process.

The susceptibility of nine microbial species to an antimicrobial extract from Eclipta alba was screened using the well diffusion assay. Three different volumes (24, 30 and 36 μl/well) were tested. Analysis of the data revealed that all extracts from Eclipta alba showed antimicrobial activities. An N-butanol fraction showed inhibitory activities against all nine microbial species. Samples extrac...

We investigate the adsorption and diffusion of colloidal particles at an interface containing a one-dimensional potential well. It is observed how the adsorption kinetics onto the wall is altered with time, and one observes the formation of a particle chain. We find that the time it takes for a bead to penetrate into the chain depends strongly on the particle density, and beyond a critical valu...

We study an inhomogeneous partial differential equation which includes a separate edge detection part to control smoothing in and around possible discontinuities, under the framework of anisotropic diffusion. By incorporating edges found at multiple scales via an adaptive edge detector-based indicator function, the proposed scheme removes noise while respecting salient boundaries. We create a s...

We prove global existence in time of solutions to relaxed conservative cross diffusion systems governed by nonlinear operators of the form ui → ∂tui − ∆(ai(ũ)ui) where the ui, i = 1, ..., I represent I density-functions, ũ is a spatially regularized form of (u1, ..., uI) and the nonlinearities ai are merely assumed to be continuous and bounded from below. Existence of global weak solutions is o...