论文标题
关于阻尼时谐波的Galbrun方程和恒星振荡的方程
On the well-posedness of the damped time-harmonic Galbrun equation and the equations of stellar oscillations
论文作者
论文摘要
我们研究了在稳定的背景流程存在下描述声音传播的时间谐波的Galbrun方程。使用其他旋转和重力术语，这些方程在Helio和Asterosemology中也是基础，作为恒星振荡的模型。对于一个简单的阻尼模型，我们证明了这些方程的适当性，即在轻度条件下在参数（基本上是亚音速流）下解决方案的唯一性，存在和稳定性。我们分析的主要工具是广义的Helmholtz分解。
We study the time-harmonic Galbrun equation describing the propagation of sound in the presence of a steady background flow. With additional rotational and gravitational terms these equations are also fundamental in helio- and asteroseismology as a model for stellar oscillations. For a simple damping model we prove well-posedness of these equations, i.e. uniqueness, existence, and stability of solutions under mild conditions on the parameters (essentially subsonic flows). The main tool of our analysis is a generalized Helmholtz decomposition.
