Semi-classical propagation of singularity for Stokes system

2017/10/22 by Chenmin Sun, Sun, Chenmin · 1 citation
Computer Science · Mathematics · Engineering · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1710.07996

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-Sjöstrand flow.

Citations

• Singularities of boundary value problems. I

Cited by

• On the stabilization of a hyperbolic Stokes system under geometric control condition

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