On the existence of finger solutions of the Hele-Shaw equation

DOI10.1088/0951-7715/14/1/309zbMath0973.76026OpenAlexW2009060253MaRDI QIDQ2707009

Jianzhong Su

Publication date: 28 March 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/14/1/309

zbMATH Keywords

existenceHilbert transformtravelling-wave solutionsfixed-point argumentHele-Shaw equationsfinger solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Other free boundary flows; Hele-Shaw flows (76D27)

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