Singularity Formation in 3D Euler Equations and Related Models

Thomas Hou, Ordway Vsitor
Caltech
Thursday, May 2, 2019 - 3:35pm to 4:35pm
Vincent Hall 16

Whether the 3D incompressible Euler equations can develop a finite time singularity from smooth initial data is a long-standing open question in mathematical fluid dynamics. Recent computations have provided strong numerical evidence that the 3D Euler equations develop a finite time singularity from smooth initial data. I will report some recent progress in providing a rigorous justification of the singularity formation in the 3D Euler equations and related models.