报告题目：Analysis of a Diffuse Interface Model for Compressible Flows with van der Waals Equation of State
报告人：施小丁 教授
报告时间：2018年11月10日（星期六）上午9：30-10：30
报告地点：创新园大厦A1101
校内联系人：王文栋 联系电话：84708351-8139
摘要: This talk is concerned with a diffuse interface model for the gas-liquid phase transition. The model consists the compressible Navier-Stokes equations with van der Waals equation of state and a modified Allen-Cahn equation. The global existence and the sharp interface limit of the strong solution is considered. Furthermore, the phase variable and the density of the gas-liquid mixture are proved to stay in the physical reasonable interval. The proofs are based on the elementary energy method and the method of matched asymptotic expansion, but with new development, where some techniques are introduced to establish the uniform bounds of the density and to treat the non-convexity of the pressure function.
报告人介绍：
施小丁，北京化工大学教授。博士毕业于中国科学院数学与系统科学研究院。主要研究流体力学方程部分成果发表在数学领域著名杂志Comm. Math. Phys., SIAM J. Math. Anal., Indiana Univ. Math. J., Nonlinearity，J. Differential Equations. 等。 多次主持国家自然 科学基金项目。
