1·This paper is concerned with the decay rates of the solution to the strong planar rarefaction waves for scalar conservation laws with degenerate viscosity in several space dimensions.
本文主要研究高维空间中带有退化粘性的标量守恒律方程的光滑解的整体存在性，以及该解逼近强平面稀疏波的衰减率。
2·This is called a rarefaction and is represented by widely spaced dots.
这个区域称为稀疏区，并用疏散的小点表示。
3·After gaseous detonation reflects on the right wall, the right-traveling rarefaction waves accelerate the reflected shock.
气相爆轰波在右壁面反射后，右行稀疏波加速反射激波。
4·The asymptotic stability of the rarefaction wave has been established for the impermeable wall problem under small perturbation conditions and non-isothermal conditions.
讨论了半空间中满足无渗透边界条件的一维黏性可压缩热传导流体的流动，给出了在小扰动和非等温条件下稀疏波的渐进稳定性。
5·After discussing the conditions under which this approximation could be used, it is applied to study various 1-dimensional flows: continuous flows, rarefaction, compression waves and shock waves.
在讨论了这种近似的适用条件后，分别用它就一维流的情况研究了连续流、稀疏波和压缩波以及激波等运动形态。