报告题目：The Cattaneo-Christov approximation of Fourier heat-conductive compressible fluids

报告人：徐江 教授  南京航空航天大学

报告时间：2026.10.23(周五) 下午 3:00-4:30

报告地点：逸夫楼1537

报告摘要：We investigate the Navier-Stokes-Cattaneo-Christov system (NSC), a model of heat-conductive compressible flows used as a finite speed of propagation approximation of the Navier-Stokes-Fourier system (NSF). Due to the presence of Oldroyd’s upper-convected derivatives, the system (NSC) exhibits a lack of hyperbolicity which makes it challenging to establish the well-posedness, especially in multi-dimensional contexts. First, within a critical regularity setting, we prove the global-in-time well-posedness of (NSC) for initial data being small perturbations of constant equilibria, uniformly with respect to the relaxation parameter. Then, we obtain the large-time asymptotic behavior of (NSC), and finally, for all times, we deduce sharp quantitative error estimates between the solutions of (NSC) and (NSF) in the case of ill-prepared data. 

报告人简介：徐江，南京航空航天大学教授、博士生导师，现担任数学学院副院长。2007年在浙江大学获得博士学位，主要从事流体力学偏微分方程的理论及应用。在Adv. Math.、ARMA、CMP、JFA、Math. Ann.等国际数学期刊上发表80余篇SCI论文。先后主持5项国家级项目，2019年入选教育部国家重大人才工程青年学者。2023年获得教育部高等学校科学研究优秀成果奖（科学技术）二等奖。2024 年入选江苏省“333 高层次人才培养工程”中青年领军人才。