数学系 Seminar 第 2025 期
数学系“60周年”系庆系列报告
报告主题：Global existence of solutions for the coupled Vlasov and inhomogeneous non-Newtonian fluids
报告人：郭真华教授 （西北大学数学学院）
报告时间：2020年10月22日（周四） 10:30-11:30
参会方式：腾讯会议
会议ID：938 973 7719
主办部门：理学院数学系
报告摘要：This paper is dedicated to the construction of global weak solutions to the Naiver-Stokes-Vlasov equations for particles coupled with an inhomogeneous non-Newtonian fluid with the stress tensor of a power-law structure for $p\geqslant\frac{12}{5}$ in the three-dimensional spaces. The coupling is performed through a drag force in the fluid equations and the acceleration in the Vlasov equation. An initial-boundary value problem is studied in a bounded domain with large initial data. The existence of global weak solution is established through an approximation scheme, with the aid of a truncation method and a monotone operator technique.
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