Semi-classical propagation of singularity for Stokes system

Chenmin Sun

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arXiv · 1710.07996

Semi-classical propagation of singularity for Stokes system

Chenmin Sun

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Abstract

We study the quasi-mode of Stokes system posed on a smooth bounded domain with Dirichlet boundary condition. We prove that the high energy L2 norm of solutions concentrate on the bi-characteristic of Laplace operator as matrix-valued Radon measure. Moreover, we prove that the support of such measure is invariant under Melrose-Sj\"ostrand flow.

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Chenmin Sun. 2017-10-22. Semi-classical propagation of singularity for Stokes system. https://arxiv.org/abs/1710.07996

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