An operative method to obtain sharp nonlinear stability for systems with spatially dependent coefficients

DOI10.1098/RSPA.2011.0137zbMath1364.76213OpenAlexW2133800503MaRDI QIDQ5345911

M. S. Malashetty, Antony A. Hill

Publication date: 7 June 2017

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2011.0137

Mathematics Subject Classification ID

Diffusion (76R50) Flows in porous media; filtration; seepage (76S05)

Related Items (8)

Horizontally isotropic bidispersive thermal convection ⋮ Resonant penetrative convection with an internal heat source/sink ⋮ A reaction-diffusion model for competing languages ⋮ Nonlinear stability in microfluidic porous convection problems ⋮ Nonlinear stability of convection in a porous layer with solid partitions ⋮ Nonlinear stability for a simple model of a protoplanetary disc ⋮ Stability of double-diffusive convection induced by selective absorption of radiation in a fluid layer ⋮ Magnetic effect on instability and nonlinear stability of double-diffusive convection in a reacting fluid

Cites Work

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• A differential constraint approach to obtain global stability for radiation-induced double-diffusive convection in a porous medium
• Nonlinear Stability for Diffusion Models in Biology
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• A nonlinear stability analysis for magnetized ferrofluid heated from below
• An operative method to obtain necessary and sufficient stability conditions for double diffusive convection in porous media
• Convection due to the selective absorption of radiation in a porous medium

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