Intermediate asymptotics for convergent viscous gravity currents

DOI10.1063/1.868722zbMath0832.76020OpenAlexW2075557753MaRDI QIDQ4851134

D. G. Aronson, Sigurd B. Angenent

Publication date: 22 October 1995

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868722

zbMATH Keywords

self-similar solutionnonlinear diffusion equationvery viscous liquid

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99)

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The focusing problem for the porous medium equation: experiment, simulation and analysis ⋮ Hole-closing model reveals exponents for nonlinear degenerate diffusivity functions in cell biology ⋮ Non-axial self-similar hole filling for the porous medium equation ⋮ Focusing of an elongated hole in porous medium flow ⋮ Self-similarity in the post-focussing regime in porous medium flows ⋮ Converging gravity currents of power-law fluid ⋮ Renormalization study of two-dimensional convergent solutions of the porous medium equation ⋮ Influence of heterogeneity on second-kind self-similar solutions for viscous gravity currents

Cites Work

• Self-similar solutions of the second kind of nonlinear diffusion-type equations
• A selfsimilar solution to the focusing problem for the porous medium equation
• Self-similar viscous gravity currents: phase-plane formalism
• Solutions of the One-Dimensional Porous Medium Equation are Determined by Their Free Boundary

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