Radiative Decay of Bubble Oscillations in a Compressible Fluid

DOI10.1137/100803602zbMath1230.35105arXiv1004.0924OpenAlexW2962724626MaRDI QIDQ3174627

A. M. Shapiro, Michael I. Weinstein

Publication date: 11 October 2011

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

Full work available at URL: https://arxiv.org/abs/1004.0924

zbMATH Keywords

surface tensioncapillary wavesdynamic boundary conditionssmall Mach numberradiation dampingscattering resonanceNeumann to Dirichlet mapspherical equilibrium

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Gas dynamics (general theory) (76N15)

Related Items (3)

Free boundary problem for a gas bubble in a liquid, and exponential stability of the manifold of spherically symmetric equilibria ⋮ Thermal relaxation toward equilibrium and periodically pulsating spherical bubbles in an incompressible liquid ⋮ Radiative decay of the nonlinear oscillations of an adiabatic spherical bubble at small Mach number

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