Global existence of weak solutions for 3D incompressible inhomogeneous asymmetric fluids
数学专题报告
报告题目(Title)：Global existence of weak solutions for 3D incompressible inhomogeneous asymmetric fluids
报告人(Speaker)：张挺 教授 （浙江大学数学科学学院）
地点(Place)：后主楼1124
时间(Time)：2023年9月9日下午2:30-3:30
邀请人(Inviter)：许孝精
报告摘要
In this paper, we study the global existence of weak solutions and the lifespan of strong solutions to 3D inhomogeneous incompressible asymmetric fluids equations. By using the energy method and decomposing technique, the global Fujita–Kato solutions for the asymmetric fluids with initial velocity being sufficiently small in the critical Besov space and with initial density in the bounded function space and have positive lower bounded is obtained. Besides, the estimate of the lifespan of strong solutions to 3D inhomogeneous incompressible asymmetric fluids equations is investigated. This result corresponds to the celebrated Leray estimate on the lifespan of strong solutions to the classical Navier–Stokes equations in Leray (Acta Math, 63:193–248, 1934) and the interesting results for 3Dinhomogeneous incompressibleNavier–Stokes equations in Zhang (Adv Math, 363:107007, 2020). (Joint work with Chenyin Qian, Hui Chen)
