Research-Global well-posedness of one class of new initial-boundary value problem on incompressible Navier-Stokes equations and the related models

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Global well-posedness of one class of new initial-boundary value problem on incompressible Navier-Stokes equations and the related models

Speaker: WANG Shu (Beijing University of Technology and Guangzhou University)
Time: Aug 9, 2022, 10:00-11:00
Location: Tencent Meeting ID 302 740 740, Passcode 888888


	Abstract

The global well-posedness of one class of new initial-boundary value problem on incompressible Navier-Stokes equations and the related models in the domain with the boundary is studied. The global existence of a class of weak solution to the initial boundary value problem to two/three-dimensional incompressible Navier-Stokes equation with the pressure-velocity relation at the boundary is obtained, and the global existence and uniqueness of the smooth solution to the corresponding problem in two-dimensional case is also established. Some extends to the corresponding incompressible fluid models such as Boussinesq equation and fluid-structure interaction models etc. are given.