Optimal lower bound of the resonance widths for the Helmholtz Resonator
| Autor: | André Martinez, Laurence Nedelec |
|---|---|
| Přispěvatelé: | Martinez, ANDRE' GEORGES, Nédélec, Laurence |
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Physics
Nuclear and High Energy Physics 010102 general mathematics Resonance Statistical and Nonlinear Physics 010103 numerical & computational mathematics Extension (predicate logic) 01 natural sciences Upper and lower bounds law.invention Exponential function Mathematics - Analysis of PDEs 81Q20 35P15 35B34 law Quantum mechanics 0101 mathematics Helmholtz resonator Mathematical Physics Statistical and Nonlinear Physic Nuclear and High Energy Physic |
| Popis: | 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. Comment: 25 pages, 2 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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