WorkshopsA Liouville theorem for the planar Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion
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In this talk, we establish a Liouville type result for a backward global solution to the Navier-Stokes equations in the half plane with the no- slip boundary condition. No assumptions on spatial decay for the vorticity nor the velocity field are imposed. We study the vorticity equations instead of the original Navier-Stokes equations. As an application, we extend the geometric regularity criterion for the Navier - Stokes equations in the three dimensional half space under the no-slip boundary condition. This is a joint work with Yoshikazu Giga (University of Tokyo) and Yasunori Maekawa (Tohoku University).
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Pen-Yuan Hsu
2014-12-31
14:20:00 - 15:10:00
101 , Mathematics Research Center Building (ori. New Math. Bldg.)
In this talk, we establish a Liouville type result for a backward global solution to the Navier-Stokes equations in the half plane with the no- slip boundary condition. No assumptions on spatial decay for the vorticity nor the velocity field are imposed. We study the vorticity equations instead of the original Navier-Stokes equations. As an application, we extend the geometric regularity criterion for the Navier - Stokes equations in the three dimensional half space under the no-slip boundary condition. This is a joint work with Yoshikazu Giga (University of Tokyo) and Yasunori Maekawa (Tohoku University).