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Center for Scientific Computation and Mathematical Modeling

Research Activities > Programs > Incompressible Flows 2006> Dongho Chae

Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number

CSIC Building (#406), Seminar Room 4122.
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Nonexistence of Self-Similar Singularities in the Euler Equations


Dongho Chae

                                 Department of Mathematics, Sungkyunkwan University

Abstract: In this talk show that there exists no self-similar finite time blowing up solution to the 3D incompressible Euler equations if the vorticity decays or grows sufficiently fast near infinity in . We also rule out the possibilities of asymptotically self-similar singularities for both of the 3D Euler and the 3D Navier-Stokes equations.