2019年信息与数学学院学术报告(四十一)

题目The Vlasov-Possion-Landau system near a local Maxwellian

报告专家喻洪俊(华南师范大学数学科学学院教授、博士生导师,广东省珠江学者特聘教授)

报告时间: 20191120日(周三)上午10:00-11:30

报告地点: 东校区8406

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摘要In this talk, we discuss about the global solutions near a local Maxwellian to the  Vlasov-Poisson-Landau system with the physical Coulomb interaction. The macroscopic components of this local Maxwellian are the approximate rarefaction wave of the one dimensional compressible Euler equations. We also prove that the rarefaction waves for this system are time asymptotic stable and tend to the rarefaction waves of the  compressible Euler and Navier-Stokes equations. In addition, the nonlinear stability of the same rarefaction waves to the Landau equation is also proved.

个人简介:喻洪俊华南师范大学数学科学学院教授、博士生导师,广东省珠江学者特聘教授,长期从事非线性偏微分方程的研究,在《Advances in Mathematics》、《Archive for Rational Mechanics and Analysis》、《Communications in Mathematical Physics》、   SIAM on  Mathematical Analysis》 等国际重要数学杂志发表论文30余篇多次应邀访问意大利台湾及香港的国际著名大学和研究机构分别入选教育部新世纪优秀人才计划广东省千百十工程省级培养对象曾获得全国百篇优秀博士论文并四次主持国家自然科学基金项目.