Exact solution of the Muskat-Leibenzon problem for a growing elliptic bubble

DOI10.1134/S0015462816050100zbMath1354.76175MaRDI QIDQ505945

M. M. Alimov

Publication date: 26 January 2017

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

growing elliptic bubbleMuskat-Leibenzon problemtwo-phase time-dependent Hele-Shaw problem

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items

Exact solution for capillary waves on the surface of a liquid of finite depth ⋮ Dynamics and stability of air bubbles in a porous medium

Cites Work

• Bubble growth in a Hele-Shaw cell
• Construction of exact solutions to the Muskat problem
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• EXACT SOLUTIONS FOR THE GROWTH OF FINGERS FROM A FLAT INTERFACE BETWEEN TWO FLUIDS IN A POROUS MEDIUM OR HELE-SHAW CELL
• Exact solutions to the unsteady two-phase Hele-Shaw problem
• Fingering in Hele-Shaw cells
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