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Uniform Boundary Controllability and Homogenization of Wave Equations

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arxiv 1904.12172 v2 pith:IOMHSJWM submitted 2019-04-27 math.AP

Fanghua Lin , Zhongwei Shen This is my paper · ORCID
classification math.AP
keywords boundarycontrollabilityepsilonequationssolutionsuniformwavebounded
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abstract

We obtain sharp convergence rates, using Dirichlet correctors, for solutions of wave equations in a bounded domain with rapidly oscillating periodic coefficients. The results are used to prove the exact boundary controllability that is uniform in $\epsilon$ - the scale of the microstructure, for the projection of solutions to the subspace generated by the eigenfunctions with eigenvalues less that $C\epsilon^{-1/2}$.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues

    math.NA 2019-09 accept novelty 3.0 of 10

    Nonlocality is a generic outcome of homogenization and model reduction, and Bloch dispersion relations provide a practical route to construct nonlocal effective kernels.

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