The Lifetime of Shape Oscillations of a Bubble in an Unbounded, Inviscid, and Compressible Fluid with Surface Tension

DOI10.1137/120892659zbMath1282.35293arXiv1210.0487OpenAlexW2963391928MaRDI QIDQ2870595

Saleh Tanveer, Ovidiu Costin, Michael I. Weinstein

Publication date: 21 January 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0487

zbMATH Keywords

radiation dampingscattering resonancebubble shape oscillations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Waves and radiation in optics and electromagnetic theory (78A40) Scattering theory of linear operators (47A40) Moving boundary problems for PDEs (35R37)

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Free boundary problem for a gas bubble in a liquid, and exponential stability of the manifold of spherically symmetric equilibria ⋮ Radiative decay of the nonlinear oscillations of an adiabatic spherical bubble at small Mach number

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