On the damping effect and the global existence of smooth solutions to the M-D hyperbolic equations or systems

发布时间:2020-10-30发布部门:理学院

主题:   On the damping effect and the global existence of smooth solutions to the M-D hyperbolic equations or systems主讲人:   尹会成地点:   腾讯会议 475 278 772时间:   2020-11-03 15:00:00组织单位:   理学院

主讲人简介

尹会成,南京师范大学数学科学学院教授,博士生导师,研究领域是非线性偏微分方程。在流体动力学中的超音速流和跨音速激波理论、非线性双曲方程解的奇性结构和奇性传播、退化双曲方程或可压缩Euler方程组的整体解和爆破问题等领域取得了系列成果。尹会成教授是国家杰出青年基金获得者、全国优秀博士论文指导教师。曾获国家教委科技进步二等奖、教育部优秀青年教师奖等。目前共发表论文90多篇,如发表在Comm.Pure Appl.Math.,Comm.Math.Phys.,Arch.Ration.Mech. Anal.,Advances in Math., SIAM J.Math.Anal.等。

内容摘要

In this talk, for the multi-demensional hyperbolic equations or systems, we will discuss the global existence or blowup of smooth solutions due to the damping effect under some suitable transformations.Our results are: establish the global existence and blowup of smooth solutions to the M-D compressible Euler equations with time depending damping; establish the global existence and blowup of weak solutions to a class of semilinear generalized Tricomi equations; establish the global existence of 3-D supersonic Euler flows in the infinite long divergent nozzles. These works are joint with Hou Fei, He Daoyin, Ingo Witt and Xu Gang, respectively.

报告主持人

秦玉明 教授


视频:   摄影: 撰写:秦玉明  信息员:唐晓亮  编辑:朱一超

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