نتایج جستجو برای: diffusivity equation

تعداد نتایج: 237579  

1995
D. Elstner G. Rüdiger M. Schultz

In order to compute the turbulent electromotive force, the vertical momentum equation for the galactic gas is solved. The only input is the density profile of the gaseous disk. The resulting-effect, the advection terms as well as the eddy diffusivity tensor are quenched by the feedback of the magnetic field. The only free parameters are the factor in the vertical structure equation and a " mixi...

Journal: :SIAM Journal of Applied Mathematics 2005
Yasmin Dolak Christian Schmeiser

Abstract. The Keller-Segel model is the classical model for chemotaxis of cell populations. It consists of a drift-diffusion equation for the cell density coupled to an equation for the chemoattractant. Here a variant of this model is studied in one-dimensional position space, where the chemotactic drift is turned off for a limiting cell density by a logistic term and where the chemoattractant ...

Journal: :Journal of Differential Equations 2022

Under a precise nonlinearity-diffusivity assumption we establish the decay of entropy solutions degenerate nonlinear parabolic equation with initial data being sum periodic function and vanishing at infinity in appropriate sense.

Journal: :Colloids and surfaces. B, Biointerfaces 2014
Roland Galgoczy Isabel Pastor Adai Colom Alicia Giménez Francesc Mas Jordi Alcaraz

The design of 3D culture studies remains challenging due to the limited understanding of extracellular matrix (ECM)-dependent hindered diffusion and the lack of simple diffusivity assays. To address these limitations, we set up a cost-effective diffusivity assay based on a Transwell plate and the spectrophotometer of a Microplate Reader, which are readily accessible to cell biology groups. The ...

2016
ARRIGO CASERTA ROBERTO GARRA ETTORE SALUSTI

In this paper we reconsider the classical nonlinear diffusivity equation of real gas in an heterogenous porous medium in light of the recent studies about the generalized fractional equation of conservation of mass. We first recall the physical meaning of the fractional conservation of mass recently studied by Wheatcraft and Meerschaert [22] and then consider the implications in the classical m...

2013
Erkut Erdem

The main theory behind nonlinear diffusion models is to use nonlinear PDEs to create a scale space representation that consists of gradually simplified images where some image features such as edges are maintained or even enhanced. The earliest nonlinear diffusion model proposed in image processing is the so-called anisotropic diffusion1 by Perona and Malik [4]. In their formulation, they repla...

2003
ROBERT WILLIE

We study the effects of large diffusivity in all parts of the domain in a linearly damped wave equation subject to standard zero Robin-type boundary conditions. In the linear case, we show in a given sense that the asymptotic behaviour of solutions verifies a second-order ordinary differential equation. In the semilinear case, under suitable dissipative assumptions on the nonlinear term, we pro...

Journal: :J. Nonlinear Science 2013
Matt Holzer Arjen Doelman Tasso J. Kaper

In this article, we analyze traveling waves in a reaction–diffusionmechanics (RDM) system. The system consists of a modified FitzHugh–Nagumo equation, also known as the Aliev–Panfilov model, coupled bidirectionally with an elasticity equation for a deformable medium. In one direction, contraction and expansion of the elastic medium decreases and increases, respectively, the ionic currents and a...

2012
Erkut Erdem

The main theory behind nonlinear diffusion models is to use nonlinear PDEs to create a scale space representation that consists of gradually simplified images where some image features such as edges are maintained or even enhanced. The earliest nonlinear diffusion model proposed in image processing is the so-called anisotropic diffusion1 by Perona and Malik [2]. In their formulation, they repla...

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