Results 71 to 80 of about 35,041 (167)

Second-Order Gradient Estimates for the Porous Medium Equation on Riemannian Manifolds

Mathematics
In this paper, we derive second-order gradient estimates for positive solutions of the porous medium equation ∂∂tu(x,t)=Δu(x,t)p,p∈1,1+1n−1 on an n-dimensional Riemannian manifold under certain curvature conditions.
Jingjing Yang, Guangwen Zhao
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An Analytical Solution of the Advection Dispersion Equation in a Bounded Domain and Its Application to Laboratory Experiments

Journal of Applied Mathematics, 2011
We study a uniform flow in a parallel plate geometry to model contaminant transport through a saturated porous medium in a semi-infinite domain in order to simulate an experimental apparatus mainly constituted by a chamber filled with a glass beads bed ...
M. Massabó, R. Cianci, O. Paladino
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Regularity properties for the porous medium equation

, 2016
The theory of degenerate/singular nonlinear partial differential equations has gained a great importance over the last decades. In this work, we study a famous equation with these characteristics, the porous medium equation, ut - Δum = 0. m > 1. (PME) We study regularity results for this equation, more especifically we prove the Hölder continuity of ...
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Numerical Methods for a Porous Medium Equation [PDF]

, 1978
The degenerate parabolic equation has been used to model the flow of gas through a porous medium. Error estimates for continuous and discrete time finite element procedures to approximate the solution of this equation are proved and a new regularity result is described.
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Structural stability for Brinkman-Forchheimer equations

Electronic Journal of Differential Equations, 2007
In this paper, we obtain the continuous dependence and convergence results for the Brinkman and Forchheimer coefficients of a differential equation that models the flow of fluid in a saturated porous medium.
Yan Liu, Changhao Lin
doaj  

Well-posedness of a porous medium flow with fractional pressure in Sobolev spaces

Electronic Journal of Differential Equations, 2017
We prove the existence of a non-negative solution for a linear degenerate diffusion transport equation from which we derive the existence and uniqueness of the solution for the fractional porous medium equation in Sobolev spaces $H^\alpha$ with ...
Xuhuan Zhou, Weiliang Xiao
doaj  

Brief Notes: Aligned Magnetic Effects on the Flow Down an Open Inclined Channel with Highly Porous Bed

Engineering Transactions, 1994
The aligned magnetic effects on a steady, laminar, viscous, incompressible, conducting fluid flow down an open inclined rectangular channel, bounded below by a highly porous bed, have been studied.
D.S. Chauhan, P. Vyas
doaj  

Invariant manifolds for the porous medium equation

, 2015
In this paper, we investigate the speed of convergence and higher-order asymptotics of solutions to the porous medium equation posed in $\mathbf{R}^N$. Applying a nonlinear change of variables, we rewrite the equation as a diffusion on a fixed domain with quadratic nonlinearity.
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Lie group analysis for the effects of chemical reaction on MHD stagnation-point flow of heat and mass transfer towards a heated porous stretching sheet with suction or injection

Nonlinear Analysis, 2012
An analysis is carried out to study two dimensional stagnation-point flow of heat and mass transfer of an incompressible, electrically conducting fluid towards a heated porous stretching sheet embedded in a porous medium in the presence of chemical ...
Ahmed A. Afify, Nasser S. Elgazery
doaj  

Flow Stability of Nanofluid Thin Films on Non-Uniformly Heated Porous Slopes. [PDF]

Nanomaterials (Basel)
Li J, Li X, Yue L, Li X, Ding Z.
europepmc   +1 more source