For a stable matrix A with real entries, sufficient and necessary conditions for A y 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
Instability in diffusing fluid layers
✍ Scribed by W. K. Sartory
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1969
- Tongue
- English
- Weight
- 589 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0006-3525
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✦ Synopsis
A small perturbation analysis is carried out to determine the stability of a fluid containing two layers of dBusing solutes in a common solvent and acted upon by a uniform gravitational field. It is found that instability can arise even though the unperturbed diffusion does not lead to the formation of a density inversion within the fluid.
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