Solution and Asymptotic Behavior for a Nonlocal Coupled System of Reaction-Diffusion

Quenching Time for a Nonlocal Diffusion Problem with Large Initial Data

The Generalized Maxwell-Stefan Model Coupled with Vacancy Solution Theory of Adsorption for Diffusion in Zeolites

It seems using the Maxwell-Stefan (M-S) diffusion model in combination with the vacancy solution theory (VST) and the single-component adsorption data provides a superior, qualitative, and quantitative prediction of diffusion in zeolites. In the M-S formulation, thermodynamic factor (Г) is an essential parameter which must be estimated by an adsorption isotherm. Researchers usually utilize the ...

Positivity-preserving nonstandard finite difference Schemes for simulation of advection-diffusion reaction equations

Systems in which reaction terms are coupled to diffusion and advection transports arise in a wide range of chemical engineering applications, physics, biology and environmental. In these cases, the components of the unknown can denote concentrations or population sizes which represent quantities and they need to remain positive. Classical finite difference schemes may produce numerical drawback...

Nonlocal Vibration of Embedded Coupled CNTs Conveying Fluid Under Thermo-Magnetic Fields Via Ritz Method

In this work, nonlocal vibration of double of carbon nanotubes (CNTs) system conveying fluid coupled by visco-Pasternak medium is carried out based on nonlocal elasticity theory where CNTs are placed in uniform temperature change and magnetic field. Considering Euler-Bernoulli beam (EBB) model and Knudsen number, the governing equations of motion are discretized and Ritz method is applied to ob...

Existence, Asymptotics and Uniqueness of Traveling Waves for Nonlocal Diffusion Systems with Delayed Nonlocal Response

Abstract. In this paper, we deal with the existence, asymptotic behavior and uniqueness of travelingwaves for nonlocal diffusion systems with delay and global response. We first obtain the existence of traveling wave front by using upperlower solutions method and Schauder’s fixed point theorem for c > c∗ and using a limiting argument for c = c∗. Secondly, we find a priori asymptotic behavior of...