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数学学科现代分析及其应用研究所学术报告(王勇 中国科学院数学与系统科学研究院)

发布者:数学与计算机科学学院   发布时间:2020-01-03  浏览次数:237

报 告 人:王勇 中国科学院数学与系统科学研究院副研究员

报告题目:HYDRODYNAMIC LIMIT OF THE BOLTZMANN EQUATION TO THE PLANAR RAREFACTION WAVE IN THREE DIMENSIONAL SPACE

报告时间:202016上午1000-11:00

报告地点:20-306

 

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 for general collision kernels. Our approch is based on a generalized Hilbert expansion, and a recent  framework. In particular, we improve the -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  energy estimate of three dimensional problem. We also point out that the wave strength of rarefaction may be large.


邀请人:姜在红