CHINA·77779193永利(集团)有限公司-Official website

题目：The initial boundary value problem for relaxed compressible Navier-Stokes equations

报告人：胡玉玺 中国矿业大学（北京）

摘要：We investigate an initial boundary value problem for the relaxed one-dimensional compressible Navier-Stokes-Fourier equations. By transforming the system into Lagrangian coordinates, the resulting formulation exhibits a uniform characteristic boundary structure. We first construct an approximate system with non-characteristic boundaries and establish its local well-posedness by verifying the maximal nonnegative boundary conditions. Subsequently, through the construction of a suitable weighted energy functional and careful treatment of boundary terms, we derive uniform a priori estimates, thereby proving the global well-posedness of smooth solutions for the approximate system. Utilizing these uniform estimates and standard compactness arguments, we further obtain the existence and uniqueness of global solutions for the original system. In addition, the global relaxation limit is established. The analysis is fundamentally based on energy estimates

报告人简介：胡玉玺，中国矿业大学（北京）理学院，副教授，博士生导师，主要研究领域是双曲型或双曲抛物型方程组强解和弱解的整体适定性，长时间行为，小参数奇异极限等，在国际知名期刊SIMA, JDE等发表论文20余篇，主持国家自然科学基金青年项目以及北京市自然科学基金青年项目等。

报告时间：2025年6月28日（星期六） 9:30-10：30

报告地点：教二楼527

联系人：牛冬娟