一、报告题目：Stability of basic waves to a hyperbolic system with Cattaneo’s law
二、报告人：何躏 四川大学副教授
三、时 间：2025年10月28日（周二）19:30-20:30
四、腾讯会议：157-334-103
报告摘要：In this talk, we consider the nonlinear stability of basic waves to a scalar conservation law with an artificial heat flux satisfying Cattaneo’s law. For the case that the initial perturbation belongs to H^2, we can deduce that the solution is time asymptotically stable under a kind of “large” perturbation; for the case that the initial data has space periodic perturbation at infinity, we can deduce that the solution time-asymptotically stable to a viscous shock wave with a constant shift or rarefaction wave respectively. And the constant shift in viscous shock wave depends on both the periodic perturbation and the mass of localized perturbation.
报告人简介：何躏，四川大学数学学院副教授。主要研究兴趣为可压缩流体力学方程组解的整体适定性及其物理参数极限问题，在《Communications on Pure and Applied Mathematics》《SIAM Journal on Mathematical Analysis》《Journal of Differential Equations》《Science China Math》等国际学术期刊发表论文十余篇。
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