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【理学院讲坛】中国科学院数学与系统科学研究院王勇副研究员学术报告
发布时间:2019-05-12【告诉好友】 【关闭窗口】
 

主题: Uniform Regularity and Vanishing Dissipation Limit for the Full Compressible Navier–Stokes System in Three Dimensional Bounded Domain

时间:20190513日下午15:00

地点:理学院数学统计楼213

主讲:王勇 副研究员

摘要:

In this talk, we will consider the uniform regularity and vanishing dissipation limit for the full compressible Navier–Stokes system whose viscosity and heat conductivity are allowed to vanish at different orders. The problem is studied in a three dimensional bounded domain with Navier-slip type boundary conditions. It is shown that there exists a unique strong solution to the full compressible Navier–Stokes system with the boundary conditions in a finite time interval which is independent of the viscosity and heat conductivity. The solution is uniformly boundedin W^{1, \infty} and is a conormal Sobolev space. Based on such uniform estimates, we prove the convergence of the solutions of the full compressible Navier–Stokes to the corresponding solutions of the full compressible Euler system.

报告人简介:

王勇,副研究员,博士毕业于中国科学院数学与系统科学研究院,现任职于中国科学院数学与系统科学研究院应用数学所。主要研究领域是流体力学和动力学模型的数学理论。公开发表SCI论文20余篇,部分研究结果发表在本领域国际顶尖学术期刊 Advances in MathematicsArchive for Rational Mechanics and AnalysisSIAM Journal on Mathematical Analysis等。研究成果获中科院数学与系统科学研究院重要科研进展奖"并入选陈景润未来之星"计划。

      
      
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