| EXISTENCE AND UNIQUENESS OF A SOLUTION TO AN AEROACOUSTIC MODEL |
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| 作者姓名： | Ph. DESTUYNDER E. GOUT D'HENIN |
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| 作者单位： | PH. DESTUYNDER，E. GOUT D'HENIN Cnam-Dpartment de Mathmatiques/IAT Chaire de Calcul Scientifique，292，rue Saint-Martin 75003，Paris，France. |
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| 摘 要： | 6O. IntroductionA new challenge is arising in the mechanical enginecring community. lt concerns themodelIing of aeroacoustic waves when fluid-structure interactions occur. As a matter of factthe main difficulty is due to a localization of the energy at the intcrface between the structureand the fluid. This phenomenon is well know in geophysics and is usually attributed to theso-called Stonley waves. But it can only appear if the sound cclcrity in the structure issmaller than the one in thc f…
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| 关 键 词： | 存在性 唯一性 解 空气声学模型 铃结构 稳定性 压力波 能量 Neumann问题 势函数 边界条件 先验估计 |
| 收稿时间： | 6/1/2011 12:00:00 AM |
EXISTENCE AND UNIQUENESS OF A SOLUTION TO AN AEROACOUSTIC MODEL |
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| Ph. DESTUYNDER,E. GOUT D''HENIN.EXISTENCE AND UNIQUENESS OF A SOLUTION TO AN AEROACOUSTIC MODEL[J].Chinese Annals of Mathematics,Series B,2002,23(1):11-24. |
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| Authors: | Ph DESTUYNDER and E GOUT D'HENIN |
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| Institution: | Cnam-Dpartment de Mathmatiques/IAT Chaire de Calcul Scientifique, 292, rue Saint-Martin 75003,Paris, France. |
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| Abstract: | A linear modelling of aeroacoustic waves propagation is discussed. The first point is an existence and uniqueness, theorem. But restrictive assumptions are required on the velocity of the flow. Then a counter example proves that they are necessary. |
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| Keywords: | Fluid-structure Stability Wave propagation Localization of energy Numerical scheme |
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