Global Solutions to a Non-Local Diffusion Equation with Quadratic Non-Linearity
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We consider localized instantaneous sources that reside in a 2D dif- fusive environment. Our goal is to reconstruct the induced field from the measurements obtained by distributed sensors. Although the field is non-bandlimited, we capitalize on the fact th ...
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A general approximation for the solution of the one- dimensional nonlinear diffusion equation is presented. It applies to arbitrary soil properties and boundary conditions. The approximation becomes more accurate when the soil-water diffusivity approaches ...
A transport equation is derived which describes the behavior of the nanostructured metal oxide films in a photoelectrochem. cell. A detailed anal. of the charge compensation mechanism necessarily leads to a transport equation with characteristics similar t ...
In this paper, we introduce a framework that merges classical ideas borrowed from scale-space and multi-resolution segmentation with non-linear partial differential equations. A non-linear scale-space stack is constructed by means of an appropriate diffusi ...
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In this paper we introduce the framework of Partial difference Equations (PdEs) over graphs for analyzing the behavior of multiple agent formations equipped with decentralized control schemes. PdEs mimic Partial Differential Equations (PDEs) on graphs and ...
This Brief Communication presents a simple second-order differential equation extracted from experimental data, which can mimic the velocity fluctuations that are typical of bursting. The starting time series concerns the longitudinal component of turbulen ...