Differential diffusion effects on density-driven instability of reactive flows in porous media

Instability Analysis of Miscible Displacements in Homogeneous Porous Media

High temperature and pressure reactive flows through porous media

Diffusion in Porous Media

Porous media are of considerable interest in a very diverse range of activities. They comprise a wide variety of substances—plastics, ceramics, cements, clays, rocks, porous glasses, carbons, silica gels, zeolites, the recently emerging metal–organic frameworks and coordination polymers, and many more. Even biological tissues may share many features of porous media. Depending on the given natur...

Diffusion in Deforming Porous Media

We report on some recent progress in the mathematical theory of nonlinear fluid transport and poro-mechanics, specifically, the design, analysis and application of mathematical models for the flow of fluids driven by the coupled pressure and stress distributions within a deforming heterogeneous porous structure. The goal of this work is to develop a set of mathematical models of coupled flow an...

Diffusion-Driven Instability in Reaction Diffusion Systems

For a stable matrix A with real entries, sufficient and necessary conditions for A D to be stable for all non-negative diagonal matrices D are obtained. Implications of these conditions for the stability and instability of constant steadystate solutions to reaction diffusion systems are discussed and an example is given to show applications. 2001 Academic Press