Results 51 to 60 of about 35,041 (167)
Stochastic porous-medium equation in one dimension
Physical Review EWe study the porous medium equation (PME) in one space dimension in presence of additive non-conservative white noise, and interpreted as a stochastic growth equation for the height field of an interface. We predict the values of the two growth exponents $α$ and $β$ using the functional RG.
Maximilien Bernard +3 more
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Water Resources ResearchFractures significantly alter the permeability characteristics of the natural porous media, especially for the multilayered porous medium system. The most direct and effective approach to assess the hydraulic conductivity of a multilayered porous medium ...
Shuai Zhang, Xiaoli Liu
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Wasserstein geometry of porous medium equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2012 We study the porous medium equation with emphasis on q -Gaussian measures, which are generalizations of Gaussian measures by using power-law distribution. On the space of q -Gaussian measures, the porous medium equation is reduced to an ordinary differential equation for covariance matrix ...
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Nonlinear Engineering, 2022 This article is aimed to investigate the peristaltic pumping of a two-layered model in a two-dimensional channel. The core region occupies Casson fluid, while the porous medium occupies the peripheral region.
Rushi Kesava A., Srinivas A. N. S.
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On the stochastic porous medium equation
Journal of Differential Equations, 2006 The author proves existence and uniqueness for the Cauchy problem and the initial-boundary value problem \[ u_{t}=\sum_{i=1}^{n}\partial_{x_{i}}(| u| ^{p-2}\partial_{x_{i}}u)+\sum_{j=1}^{\infty}f_{j}{dB_{j}\over dt},\quad (t,x)\in (0,T)\times G, \] \(u=0\), \((t,x)\in (0,T)\times\partial G\), \(u(0,x)=u_0(x)\), \(x\in G\), where \(G\) is a bounded ...
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Regularity of the interface for the porous medium equation
Electronic Journal of Differential Equations, 2000 We establish the interface equation and prove the C-infinity regularity of the interface for the porous medium equation whose solution is radial symmetry.
Youngsang Ko
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On a regularized porous medium equation
Discrete and Continuous Dynamical Systems - SzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Coclite, Giuseppe Maria +1 more
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ESAIM: Proceedings and Surveys, 2014 In this work, we present a numerical analysis of a method which combines a deterministic and a probabilistic approaches to quantify the migration of a contaminant, under the presence of uncertainty on the permeability of the porous ...
Erhel Jocelyne +2 more
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Engineering Science and Technology, an International Journal, 2016 In this article, combine effects of Magnetohydrodynamics and partial slip on Blood flow of Ree–Eyring fluid through a porous medium have been investigated. The walls of the non-uniform porous channel are considered as compliant. The governing equation of
M.M. Bhatti, M. Ali Abbas, M.M. Rashidi
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On the Solutions of a Porous Medium Equation with Exponent Variable
Discrete Dynamics in Nature and Society, 2019 The paper studies the initial-boundary value problem of a porous medium equation with exponent variable. How to deal with nonlinear term with the exponent variable is the main dedication of this paper.
Huashui Zhan
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