Kyudong Choi (ULSAN)

Title: On the blow-up of some 1D models from incompressible fluids

Abstract:

We review simplified model equations from incompressible fluid equations such as 3D Euler. Then, motivated by the recent numerical simulation by Lou and Hou, we study some one-dimensional models for the dynamics at the boundary and show that they exhibit a finite-time blow-up from smooth data. This is joint work with T. Hou, A. Kiselev, G. Luo, V. Sverak, and Y. Yao.