Acoustic limit for the Boltzmann equation in optimal scaling
Acoustic limit for the Boltzmann equation in optimal scaling
Abstract Based on a recent L 2 − L ∞ framework, we establish the acoustic limit of the Boltzmann equation for general collision kernels. The scaling of the fluctuations with respect to the Knudsen number is optimal. Our approach is based on a new analysis of the compressible Euler limit …