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题目： Global solutions for 3D incompressible inhomogeneous asymmetric fluids in critical space

报告人：潜陈印（浙江师范大学）

时间：2021年12月30日19：00-20：00

地点：腾讯会议  会议ID：747 698 593

摘要：In this talk, we study the 3D inhomogeneous incompressible asymmetric fluids system in critical space in $R^3$. We first obtain the global well-posedness for the system with density-dependent viscosity in case the initial density and velocity in the critical Besov spaces. Our goal is to remove the smallness assumption for density and such that the integration exponent of Besov spaces for velocity is optimal. Besides, we also discuss the global existence of weak solution and the lifespan of strong solution to 3D inhomogeneous incompressible asymmetric fluids equations. By using of 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. This result corresponds to the celebrated Leray estimate on lifespan of strong solutions to the classical Navier-Stokes equations and the interesting results for 3D inhomogeneous incompressible Navier-Stokes equations by P.Zhang (Adv. Math.2020). This work is joint with Y.Qu，H. Chen and T. Zhang.

联系人： 牛冬娟

主办单位：首都师范大学77779193永利官网