学术报告：Hydrodynamic limit of the Boltzmann equation to the planar rarefaction wave in three dimensional space
发布时间：2020-10-14 浏览次数：775
报告人：王勇（中科院数学与系统科学研究院）
报告人简介：王勇2012年博士毕业于中科院数学与系统科学研究院，现任中科院数学与系统科学研究院副研究员。主要研究非线性双曲守恒律、可压缩Navier-Stokes方程、Boltzmann方程等方程的适定性和流体动力学极限。公开发表SCI论文20余篇，主要论文发表在 Advances in Mathematics、Archive Rational Mechanics Analysis 和 SIAM Journal in Mathematics Analysis 等国际著名刊物上。曾获中科院数学与系统科学研究院“重要科研进展奖、入选中科院数学与系统科学研究院“陈景润未来之星”计划、入选中科院青年创新促进会。目前主持国家自然科学基金面上项目一项；2020年9月获国家优秀青年科学基金资助。
报告摘要： In this talk, we shall show the global in time hydrodynamic limit of Boltzmann equation to the planar rarefaction wave of compressible Euler system in three dimensional space $R^3$ for general collision kernels. Our approch is based on the 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. This talk is based on a joint work with Guanfa Wang and Jiawei Zhou.
报告时间：2020年10月23日下午16：00-17:00
报告地点：育才校区数学楼201会议室