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arXiv 1402.6493math.AP
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Helmholtz谐振腔谐振宽度的最佳下界

Optimal lower bound of the resonance widths for the Helmholtz Resonator

Martinez André, Nédélec Laurence

摘要:

在颈部附近区域的几何假设下,我们证明了一般二维亥姆霍兹共振器共振宽度的一个最佳指数下界。将所得结果推广到n小于12的n维情形。

英文摘要:

Under a geometric assumption on the region near the end of its neck, we prove an optimal exponential lower bound on the widths of resonances for a general two-dimensional Helmholtz resonator. An extension of the result to the n-dimensional case, n smaller than 12, is also obtained.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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