scholarly journals Probabilistic representation for solutions of an irregular porous media type equation

2010 ◽  
Vol 38 (5) ◽  
pp. 1870-1900 ◽  
Author(s):  
Philippe Blanchard ◽  
Michael Röckner ◽  
Francesco Russo
Keyword(s):  
Porous Media ◽  
Type Equation ◽  
Probabilistic Representation ◽  
Media Type

ON THE DERIVATION OF REYNOLDS-TYPE EQUATION FOR FLOWS THROUGH POROUS MEDIA DUE TO PRESSURE GRADIENTS

2020 ◽  
Vol 23 (12) ◽  
pp. 1137-1151
Author(s):  
G. E. Pires ◽  
Kumbakonam R. Rajagopal ◽  
Juha H. Videman
Keyword(s):  
Porous Media ◽  
Type Equation ◽  
Pressure Gradients ◽  
Flows Through Porous Media

scholarly journals Pattern formation in a flux limited reaction–diffusion equation of porous media type

2016 ◽  
Vol 206 (1) ◽  
pp. 57-108 ◽  
Author(s):  
J. Calvo ◽  
J. Campos ◽  
V. Caselles ◽  
O. Sánchez ◽  
J. Soler
Keyword(s):  
Porous Media ◽  
Pattern Formation ◽  
Diffusion Equation ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equation ◽  
Media Type

A MATHEMATICAL ANALYSIS OF A MINIMAL MODEL OF NEMATODE MIGRATION IN SOIL

2002 ◽  
Vol 10 (01) ◽  
pp. 15-32 ◽  
Author(s):  
D. L. FELTHAM ◽  
M. A. J. CHAPLAIN ◽  
I. M. YOUNG ◽  
J. W. CRAWFORD
Keyword(s):  
Porous Media ◽  
Steady State ◽  
Experimental Work ◽  
Mathematical Analysis ◽  
Minimal Model ◽  
Large Time ◽  
Chemical Gradient ◽  
Media Type ◽  
Numerical Integrations ◽  
Analytical Results

A minimal model of nematode migration through soil in response to a chemical gradient is presented. We consider Fickian, fractal and porous-media type diffusion of the nematodes, for which the steady-state nematode distributions are found to compare favourably with experimental observations. Analytical results for Fickian nematode diffusion are presented, which are appropriate for the small- and large-time evolution of a nematode distribution. Numerical integrations allow us to compare the three types of nematode diffusion, to provide numerical validation of our analytical results, and to investigate the dependence of the results of our model upon certain key parameters. We conclude with a summary of results and a call for further experimental work.

scholarly journals Incompressible flow in granulated porous media with null initial velocity

1998 ◽  
Vol 20 (20) ◽  
pp. 07
Author(s):  
José Luiz Boldrini ◽  
João Paulo Lukaszczyk
Keyword(s):  
Porous Media ◽  
Incompressible Fluid ◽  
Incompressible Flow ◽  
Initial Velocity ◽  
Type Equation ◽  
Existence Of Solution ◽  
Navier Stokes ◽  
Fixed Type

In this work we study a Navier-Stokes type equation which models the flow of a viscous, homogeneous and incompressible fluid in a isotropic granular (non consolidated) porous media. Using point fixed type arguments we obtain conditions for existence of solution for the equation in Hölder's spaces.

An Adaptable Analytical Ergun-Type Equation For High Porosity Spongelike Porous Media

2010 ◽  
Author(s):  
Sonia Woudberg ◽  
J. Prieur du Plessis ◽  
Kambiz Vafai
Keyword(s):  
Porous Media ◽  
Type Equation ◽  
High Porosity
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