Asymptotic Stability of the Composite
Wave of Rarefaction Wave and Contact Wave to
Nonlinear Viscoelasticity Model
with Non-convex Flux
报告专家：侯美晨 博士（西北大学）
报告时间：6月27日（周六）9:30-10:30
报告地点：国家天元数学西南中心401
报告摘要：
We study wave propagation in viscoelastic materials based on a system of viscous conservation laws derived from the viscoelastic dynamic system with fading memory. In this model, the stress is a non-convex function of the strain, in contrast to the Euler equations of gas dynamics, which possess a convex constitutive relation. The non-convex nature of the viscoelastic model permits composite wave patterns within the same characteristic family, which greatly complicates the analysis of wave behavior. To address this challenge, we establish a new weighted Poincaré type inequality for the study of the nonlinear stability of such composite wave patterns.
邀请人：何躏
