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中国科学院数学与系统科学研究院黄飞敏研究员学术报告
发布时间:2015-05-31

 

学术报告

报告时间:2015年6月1日(周一)下午3:00
报告地点:复杂系统研究所 报告厅
报告题目:Sonic-Subsonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations 
报告人:黄飞敏 研究员
 


报告摘要:A compactness framework is established for approximate solutions to sonic-subsonic flows governed by the steady full Euler equations for compressible fluids in arbitrary dimension. The existing compactness frameworks for the two-dimensional irrotational case do not directly apply for the steady full Euler equations in higher dimensions. The new compactness framework we develop in this paper applies for both non-isentropic and rotational flows. One of our main observations is that the compactness can be achieved by using only natural weak estimates for the mass balance and the vorticity, along with the Bernoulli law and the entropy relation, through a more delicate analysis on the phase space. As direct applications, we establish two existence theorems for multidimensional sonic-subsonic full Euler flows through infinitely long nozzles.

报告人简介:黄飞敏,中国科学院数学与系统科学研究院华罗庚首席研究员,研究领域:偏微分方程,主要从事流体力学方程组的数学研究,2008年获国家杰出青年基金,2013年获国家自然科学二等奖。

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