Evolution of the perturbation of a circle in the Stokes-Leibenson problem for the Hele-Shaw flow

DOI10.1023/B:JOTH.0000040301.53259.05zbMath1072.76025OpenAlexW4245950956MaRDI QIDQ2487405

A. S. Demidov

Publication date: 5 August 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:joth.0000040301.53259.05

zbMATH Keywords

Sobolev spacenonlinear integro-differential equationunique solvabilityHelmholtz-Kirchhoff function

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35) Complex variables methods applied to problems in fluid mechanics (76M40) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (2)

Stokes-Leibenson problem for Hele-Shaw flow: a critical set in the space of contours ⋮ Attractors-repellers in the space of contours in the Stokes-Leibenson problem for Hele-Shaw flows

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