arXiv:1710.07996 Abstract | arXiv Analytics

arXiv:1710.07996 [math.AP]Abstract References Reviews Resources

Semi-classical propagation of singularity for Stokes system

Published 2017-10-22Version 1

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.

Categories: math.AP

Keywords: stokes system, semi-classical propagation, high energy l2 norm, singularity, dirichlet boundary condition

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