报告题目:Free Boundary problems for the cylindrical symmetric compressible fluids
报告时间:2025年12月9日下午19:00
腾讯会议ID:785-899-980
主办单位:数学与统计学院
报告人:麦拉苏
报告人简介:麦拉苏,内蒙古大学数学科学学院教授、博士生导师,内蒙古自治区杰青和英才兴蒙第五类专家,主持国家自然科学基金地区项目及内蒙古杰青项目各一项,完成国家自然科学基金面上及青年项目各一项。研究方向为相对论与非相对论可压流体的适定性、非相对论极限及松弛极限,在Math. Models Methods Appl. Sci.、Journal of Differential Equations等高水平期刊上发表论文10多篇。
摘要:In this talk, we will discuss the local well-posedness of smooth solutions to the free boundary problem for relativistic and nonrelativistic compressible fluids in vacuum. This includes the relativistic Euler equations, as well as the classical and time-dependent compressible Euler equations with damping. We will also present key ideas for establishing the well-posedness of global smooth solutions under small perturbations around certain affine solutions.