Results 251 to 260 of about 221,531 (271)

Constitutive equations for a thermoelastic porous medium

Doklady Physics, 2007
1. In this paper, we develop the phenomenological approach to the description of a saturated porous medium [1‐3]. The case is considered when phase transformations are absent and the contribution of pulsations to both the stress tensor and the kinetic energy is small.
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Flux diffusion and the porous medium equation

Physica C: Superconductivity, 1997
Abstract Flux-flow problems in slabs and cylinders, and flux-creep problems in slabs, simplified, reduce to the porous medium equation with possible sign changes. The equation's known self-similar solutions apply exactly or asymptotically if the boundary conditions are right.
openaire   +1 more source

The Porous Medium Equation. New Contractivity Results

2005
We review some lines of recent research in the theory of the porous medium equation. We then proceed to discuss the question of contractivity with respect to the Wasserstein metrics: we show contractivity in one space dimension in all distances d p, 1 ≤p ≤ ∞, and show a negative result for the d ∞ metric in several dimensions.
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An Inverse Problem for Porous Medium Equation

1996
An inverse problem for a nonlinear degenerate diffusion equation is considered. We look for unknown coefficient a(u) of the equation u t = (a(u(u x ) x with zero initial values and nonmonotone impulse-like Dirichlet boundary condition. Measurements in an interior point x 0 are taken as overposed data. An optimization approach is used.
openaire   +1 more source

Bound preserving and energy dissipative schemes for porous medium equation

Journal of Computational Physics, 2020
Yiqi Gu, Jie Shen
exaly  

Lie symmetry analysis, conservation laws and separation variable type solutions of the time-fractional porous medium equation

Waves in Random and Complex Media, 2022
Li-zhen Wang
exaly  

Analytical studies of a time-fractional porous medium equation. Derivation, approximation and applications

Communications in Nonlinear Science and Numerical Simulation, 2015
Lukasz Plociniczak
exaly  

The limitations of the Brinkman-Forchheimer equation in modeling flow in a saturated porous medium and at an interface

International Journal of Heat and Fluid Flow, 1991
Da Nield
exaly  

Natural convection of magnetic hybrid nanofluid inside a double-porous medium using two-equation energy model

Journal of Molecular Liquids, 2019
Mikhail A Sheremet, Mohsen Izadi
exaly  

The porous medium equation

1986
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