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CNA Working Group Seminar
Xiao Xu Carnegie Melllon University Title: Vorticity growth in the Euler Equations Abstract: In this talk, we discuss the small scale creation and possible singularity formation in PDEs of fluid mechanics, especially the Euler equations and the related models. Recently, Tom Hou and Guo Luo proposed a new scenario, so called the hyperbolic flow scenario, for the development of a finite time singularity in solutions to 3D incompressible Euler equation. We first give a clear and understandable picture of hyperbolic flow restricted in 1D. Then, based on the recent work by Alexander Kiselev and Vladimir Sverak, we look into the hyperbolic geometry in 2D. Finally, we go back to 3D problem, and analyze a simplified 1D model for the potential singularity of the 3D Euler equation by Tom Hou and Guo Luo. This talk is based on the work joint with Tam Do, Alexander Kiselev, Vu Hoang and Maria Radosz. Date: Tuesday, November 8, 2016 Time: 2:30 pm Location: Wean Hall 7218 Submitted by: Gautam Iyer |
