论文标题
三维球形气泡在无限制压缩液体内部的三维球形气泡的粘性阻尼
The viscous damping of three dimensional spherical gas bubble inside unbounded compressible liquid
论文作者
论文摘要
本文认为，具有粘度的无界多层压缩液体内部的均匀气泡。该系统由带有自由边界的Navier-Stokes方程来控制，该方程由气泡 - 液体界面上的运动学和动态边界条件确定。证明了解决方案的全局存在，并以裸露的能量方法给出了球形平衡的$ \ dot {h}^1 $渐近稳定性与粘性阻尼以及显式衰减率的稳定性。
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 $\dot{H}^1$ asymptotic stability of the spherical equilibrium in terms of viscous damping together with a explicit decay rate is given in bare energy methods.
