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张挺: 粘弹性流体方程的适定性问题

发布时间:2026-10-09
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报告时间:2026年10月9日(星期五)11:00-12:00

报告地点:翡翠湖校区科教楼B座1711室

报 告 人:张挺 教授

工作单位:浙江大学

举办单位:数学学院

报告简介:

In this talk, we mainly focus on the multi-dimensional viscoelastic flows of Oldroyd-B type. First, considering 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 θ of the fluid, only need the condition P'(1)+θ>0. We shall reformulate the systems to the compressible and incompressible parts. 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.

报告人简介:

张挺,浙江大学数学科学学院教授,博士生导师。长期从事Navier-Stokes方程组及其相关流体力学方程组的数学理论研究,发表论文一百余篇。曾入选国家万人计划青年拔尖人才支持计划,教育部新世纪优秀人才支持计划,浙江省杰出青年科学基金项目获得者,教育部自然科学奖二等奖(第三完成人),浙江省教学成果奖一等奖(6/8)等。

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