Dust plays a central role in several astrophysical processes. Hence, the need of dust/gas numerical solutions, and analytical problems to benchmark them. In the seminal dustywave problem, we discover a regime where sound waves cannot propagate through the mixture above a large critical dust fraction. We characterize this regime analytically, making it of use for testing accuracy of numerical solvers at large dust fractions.

中文翻译：

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大的灰尘分数可以阻止声波的传播

尘埃在几个天体物理过程中起着核心作用。因此，需要粉尘/气体数值解和分析问题来对它们进行基准测试。在开创性的尘埃波问题中，我们发现了一种情况，即声波不能通过大临界尘埃分数以上的混合物传播。我们以分析的方式描述了这一制度，使其可用于测试数值求解器在大尘埃分数下的准确性。