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Semi-classical propagation of singularity for Stokes system
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Semi-classical propagation of singularity for Stokes system
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math.AP
keywords
measureprovestokessystembi-characteristicboundaryboundedconcentrate
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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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