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题目：3D compressible viscoelastic flows with zeroshear yiscosity and general pressure law
报告人：张挺 教授 （浙江大学）
摘要：In this talk, we study the three dimensional compressible viscoelastic flows with zero shear viscosity, and a general class of pressure laws. We do not need the monotonically increasing pressure law with the help of the elasticity coefficient $\theta$ of the fluid, only need the condition $P^\prime (1)+\theta>0$. We shall reformulate the systems with the new perturbation variables $(\rho-1,u,F-\frac{1}{\rho}I)$ and $(\rho-1,u,F-I)$ to deal with the compressible and incompressible parts, separately. For the compressible parts, we shall use the vector fields methods to derive the weighted energy decay. For the incompressible parts, a local energy decay will be applied to derive the weighted estimates. To overcome the difficulty of the lack of dissipation for the incompressible parts, we shall introduce ``good unknowns'', and use the implicit structure of the nonlinearities. With the help of vector fields, we derive the weighted $L^2$ energy to prove global stability around a constant equilibrium.

报告时间：2025年7月9日（星期三）14：00-15：00

报告地点：教二楼613教室

联系人：酒全森