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