Acoustic Limit for the Boltzmann equation in Optimal Scaling

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Based on a recent $L^{2}{-}L^{\infty}$ framework, we establish the acoustic limit of the Boltzmann equation for general collision kernels. The scaling of the fluctuations with respect to Knudsen number is optimal. Our approach is based on a new analysis of the compressible Euler limit of the Boltzmann equation, as well as refined estimates of Euler and acoustic solutions.

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Analysis of PDEs, Mathematical Physics, 76P05

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http://salesiana.dossiersoluciones.com/handle/123456789/216161

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.2290
 http://arxiv.org/abs/0901.2290

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arXiv