The viscous damping of three dimensional spherical gas bubble inside unbounded compressible liquid
Analysis of PDEs
2022-12-02 v1
Abstract
The present paper considers a homogeneous bubble inside an unbounded polytropic compressible liquid with viscosity. The system is governed by the Navier-Stokes equation with free boundary which is determined by the kinematic and dynamic boundary conditions on the bubble-liquid interface. The global existence of solution is proved, and the asymptotic stability of the spherical equilibrium in terms of viscous damping together with a explicit decay rate is given in bare energy methods.
Keywords
Cite
@article{arxiv.2212.00299,
title = {The viscous damping of three dimensional spherical gas bubble inside unbounded compressible liquid},
author = {Lifeng Zhao and Liangchen Zou},
journal= {arXiv preprint arXiv:2212.00299},
year = {2022}
}