论文标题
在可压缩Navier-Stokes方程的分散关系上
On the dispersion relation for compressible Navier-Stokes Equations
论文作者
论文摘要
在本文中，我们因Stokes [5]，1845年和Kirchhoff [3]，1868年的经典声音分散和衰减理论，以在非理想的流体中传播声音。特别是，我们重新制定了1974年弗莱彻（Fletcher）[2]引起的分析，显示了声音以等温速度传播的条件。同样，我们提出了渐近发展的渐近发展，使得使用不同的分散和衰减公式的物理状况。本杰伦和Ghidaglia [1]解决了两流体流动的更复杂的情况。
In this paper we revisit the classical sound dispersion and attenuation theory due to Stokes [5], 1845, and Kirchhoff [3], 1868, for the propagation of sound in non-ideal fluids. In particular we reformulate the analysis due to Fletcher[2], 1974, showing conditions for which the sound propagates at the isothermal speed of sound. Also we presents asymptotic developments making precise the physical conditions under which the different dispersion and attenuation formulas apply.The more complex case of two-fluid flow is addressed by Benjelloun and Ghidaglia [1] to which the reader is referred.
