𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability of the equilibria for spatially periodic flows in porous media

✍ Scribed by Joachim Escher; Georg Prokert

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
163 KB
Volume
45
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis

2

3

4

5

The operator A is symmetric and positive semideΓΏnite with respect to this scalar product. Indeed, for arbitrary (v; g);

πŸ“œ SIMILAR VOLUMES

Prediction of effective diffusivities in
Prediction of effective diffusivities in porous media using spatially periodic models
✍ A. E. SΓ‘ez; J. C. Perfetti; Isak Rusinek πŸ“‚ Article πŸ“… 1991 πŸ› Springer Netherlands 🌐 English βš– 657 KB

Calculations of effective diffusivities in three-dimensional, spatially periodic porous media are performed. For isotropic systems, it is found that, for a given porosity, the predicted value of the effective diffusivity matches experimental results for randomly-packed beds of spheres. Furthermore,

On the spatial stability of free-convect
On the spatial stability of free-convection flows in a saturated porous medium
✍ M. B. Zaturska; W. H. H. Banks πŸ“‚ Article πŸ“… 1987 πŸ› Springer 🌐 English βš– 304 KB

We consider the free-convection boundary-layer flow in a saturated porous medium adjacent to an impermeable vertical surface. It is assumed that the surface is supplying heat to the porous medium in a prescribed way, which varies along the surface. The problem, which relates to the spatial stability

Two-dimensional solute transport for per
Two-dimensional solute transport for periodic flow in isotropic porous media: an analytical solution
✍ R. R. Yadav; Dilip Kumar Jaiswal; Gulrana πŸ“‚ Article πŸ“… 2012 πŸ› John Wiley and Sons 🌐 English βš– 501 KB

## Abstract In this article, a mathematical model is presented for the dispersion problem in finite porous media in which the flow is two‐dimensional, the seepage flow velocity is periodic, and dispersion parameter is proportional to the flow velocity. In addition to these, first‐order decay and ze

Structural Stability for the Brinkman Eq
Structural Stability for the Brinkman Equations of Porous Media
✍ F. Franchi; B. Straughan πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 537 KB

## Communicated by L. Payne Explicit a priori continuous dependence estimates are derived for the Brinkman equations for nonisothermal flow in porous media. Continuous dependence on the cooling coefficient is shown when a boundary condition of Newton cooling type is employed. Continuous dependence