勷勤数学•专家报告

题      目：Development of shock wave in piston problem

报  告  人：许刚 教授  (邀请人：李进开)

                                              南京师范大学

时      间：6月5日  09：30-10：30

地     点：数科院西楼114教室

报告人简介:

           许刚，南京师范大学数学科学学院教授，博士生导师。南京大学博士毕业，香港中文大学博士后。主要研究方向为有非线性偏微分方程及流体动力学中的数学问题等。特别关注于可压缩流体中的激波问题和真空问题，部分解决了超音速流经过一个锥形或楔形障碍物所产生的跨音速激波不稳定性的公开猜测，相关工作发表在Advances in Mathematics，Archive for Rational Mechanics and Analysis，SIAM Journal on Mathematical Analysis，Journal of Differential Equations 等学术刊物上，主持研究国家自然科学基金多项。

摘      要：

       As indicated in Sections 48 and 76 of Courant and Friedrichs's book [Supersonic Flow and Shock Waves, Interscience, New York, 1948], if a piston is moved into the gas-filled tube, then a simple compression or condensation wave originates at the piston. And a discontinuity may arise in a compression wave. The wave form may gradually steepen so much that an infinite slope occurs at some point, and at this point a shock will develop. In this talk, we will focus on the development of shock wave which formed due to the impetus of the piston.

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