澳门蒲京娱乐场

科学研究
报告题目:

Hydrodynamic limit of the Boltzmann equation to the planar rarefaction wave in three dimensional space

报告人:

王勇 教授(中国科学院数学与系统科学研究院)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

We establish the global in time hydrodynamic limit of Boltzmann equation to the planar rarefaction wave of compressible Euler system in three dimensional space $x\in\mathbb R^3$ for general collision kernels. Our approach is based on a generalized Hilbert expansion, and a recent $L^2$−$L^\infty$ framework. In particular, we improve the $L^2$-estimate to be a localized version because the planar rarefaction wave is indeed a one-dimensional wave which makes the source terms to be not integrable in the $L^2$ energy estimate of three dimensional problem. We also point out that the wave strength of rarefaction may be large.