报告人:喻洪俊 教授(华南师范大学)
报告题目:The Euler limit of the relativistic Boltzmann equation
报告摘要:In this talk we discuss about the existence and uniqueness theorems of the solutions to the relativistic Boltzmann equation for analytic initial fluctuations on a time interval independent of the Knudsen number $\epsilon>0$. As $\epsilon\to 0$, we prove that the solution of the relativistic Boltzmann equation tends to the local relativistic Maxwellian, whose fluid-dynamical parameters solve the relativistic Euler system and the convergence rate is obtained.As a by-product, an existence theorem for the relativistic Euler system without the assumption of the non-vacuum fluid states is obtained.
报告人简介:喻洪俊,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。
报告时间:2019年11月21日(星期四)下午2:30-4:30
报告地点:科技楼南602室