A bubble in ideal fluid with gravity

DOI10.1016/0022-0396(89)90181-2zbMath0686.35111OpenAlexW2009235409MaRDI QIDQ1262470

Xinfu Chen, Avner Friedman

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90181-2

zbMATH Keywords

existenceregularity of solutionsBernoulli's lawgas bubbles in ideal fluids

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35)

Related Items

On the three-dimensional Euler equations with a free boundary subject to surface tension

Cites Work

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• Analyticity for the Navier-Stokes equations governed by surface tension on the free boundary
• The collapse of a non-hemispherical bubble attached to a solid wall
• APPLICATION OF A NON-LINEAR BOUNDARY-VALUE PROBLEM FOR LAPLACE'S EQUATION TO GRAVITY AND GEOMAGNETIC INTENSITY SURVEYS