Stability of self-similar extinction solutions for a 3D Darcy flow suction problem

DOI10.1017/S0956792509007906zbMath1205.35232OpenAlexW2121693956MaRDI QIDQ3183153

Georg Prokert, E. Vondenhoff

Publication date: 19 October 2009

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

Full work available at URL: https://doi.org/10.1017/s0956792509007906

zbMATH Keywords

stabilityfree boundary problemDarcy flowHele-Shaw problembifurcation solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Bifurcations in context of PDEs (35B32) Other free boundary flows; Hele-Shaw flows (76D27) Moving boundary problems for PDEs (35R37) Self-similar solutions to PDEs (35C06)

Cites Work

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• Bifurcation for a Free Boundary Problem Modeling Tumor Growth by Stokes Equation
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
• The Theory of Vector Spherical Harmonics

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