Abstract We study the quasi-mode of Stokes system posed on a smooth bounded domain Ω with Dirichlet boundary condition. We prove that the semi-classical defect measure associated with a sequence of solutions concentrates on the bicharacteristics of Laplacian as a matrix-valued Radon measure. Moreover, we show that the support of the measure is invariant under the Melrose-Sjöstrand flow.

中文翻译：

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Stokes 系统奇点的半经典传播

摘要 我们研究了在具有狄利克雷边界条件的光滑有界域Ω 上构成的Stokes 系统的准模态。我们证明了与一系列解相关的半经典缺陷度量集中在拉普拉斯算子的双特性上，作为矩阵值氡度量。此外，我们表明，在 Melrose-Sjöstrand 流下，度量的支持是不变的。