Hele–Shaw flows with a free boundary produced by multipoles

DOI10.1017/S0956792500001029zbMath0780.76024OpenAlexW3023607203MaRDI QIDQ3140523

Vladimir Entov, Pavel I. Etingof, Dmitry Kleinbock

Publication date: 26 January 1994

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

Full work available at URL: https://doi.org/10.1017/s0956792500001029

zbMATH Keywords

variational problempotential theorysurface tensionfinite time intervalcomplex variable approachone-parameter families of stationary solutionssingle multipole

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Conformal mappings of special domains (30C20) Capillarity (surface tension) for incompressible viscous fluids (76D45)

Related Items (6)

Unnamed Item ⋮ Optimal control by multipoles in the Hele-Shaw problem ⋮ Determination of the velocity field of doubly periodic potential flows ⋮ Hele-Shaw flows with anisotropic surface tension ⋮ Exact solution of the Muskat-Leibenzon problem for a growing elliptic bubble ⋮ Construction of exact solutions to the Muskat problem

Cites Work

• Unnamed Item
• The analytic continuation of solutions to elliptic boundary value problems in two independent variables
• Confromal invariants and function-theoretic null-sets
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• A NOTE ON THE MOTION OF BUBBLES IN A HELE-SHAW CELL AND POROUS MEDIUM
• SINGULARITY DEVELOPMENT IN MOVING-BOUNDARY PROBLEMS
• Cusp Development in Hele–Shaw Flow with a Free Surface
• Bubble growth in porous media and Hele–Shaw cells
• Some Hele Shaw flows with time-dependent free boundaries
• BUBBLE CONTRACTION IN HELE-SHAW CELLS
• Inverse problems for a class of schwarz functions
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel

This page was built for publication: Hele–Shaw flows with a free boundary produced by multipoles