Special Session 80: Nonlinear dynamics of particle systems and fluids

Liouville-type theorems for the stationary Navier-Stokes equations

Youseung Cho
Yonsei University
Korea
Co-Author(s):    Jiri Neustupa, Minsuk Yang
Abstract:
In this talk, we consider the Liouville-type theorems for the stationary Navier-Stokes equations. The classical Liouville theorem states that any bounded and entire holomorphic function must be constant. In recent times, the Liouville theorem has been developed for elliptic equations. We discuss the conditions that guarantees the triviality of the solution of the Navier-Stokes equations. This talk is based on the joint work with Professor Ji\v{r}\`{\i} Neustupa and Minsuk Yang.