悬浮液沿斜面流动模型的数学分析
Toward a mathematical analysis for a model of suspension flowing down an inclined plane
摘要：
我们考虑来自悬浮液的完整模型的具有时空相关体积分数的稀近似方程的黎曼问题，其中颗粒沉降到固体基底并且透明液体膜流过沉积物[Murisic等人，J.流体。{ \bf{717} }，203- 231（2013）]。我们提出了一种方法来寻找这个系统的黎曼问题的激波，稀疏波。我们的方法主要基于[Smoller，Springer-Verlag，New York，第二版，（1994）]。
英文摘要：
We consider the Riemann problem of the dilute approximation equations with spatiotemporally dependent volume fractions from the full model of suspension, in which the particles settle to the solid substrate and the clear liquid film flows over the sediment [Murisic et al., J. Fluid. Mech. {\bf{717}}, 203--231 (2013)]. We present a method to find shock waves, rarefaction waves for the Riemann problem of this system. Our method is mainly based on [Smoller, Springer-Verlag, New York, second edition, (1994)].
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