Evolution of self-similarity, and other properties of waiting-time solutions of the porous medium equation: the case of viscous gravity currents

DOI10.1017/S095679259700329XzbMath0939.76093WikidataQ128252783 ScholiaQ128252783MaRDI QIDQ4236538

Claudio L. M. Vigo, Julio Gratton

Publication date: 31 May 1999

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptoticsinitial value problemwaiting-time solutionsone-dimensional porous medium equationfront motion delay

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45)

Related Items (4)

Asymptotic regimes of ridge and rift formation in a thin viscous sheet model ⋮ Numerical methods for porous medium equation by an energetic variational approach ⋮ Exact solutions for two-dimensional steady flows of a power-law liquid on an incline ⋮ Bounds of waiting-time in nonlinear diffusion.

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