Title and Abstract
Title and Abstract
Plenary Lecture
In-Jee Jeong (Seoul National Univ.)
Title : Long time dynamics of incompressible Euler equations on the plane
Abstract : In the first part, we consider conserved quantities of the incompressible Euler equations on the plane, and the monotone quantities under the odd symmetry and vorticity sign condition. Then, we introduce the variational principle which selects the Lamb dipole as the unique energy maximizer. We explain how dynamical stability of the Lamb dipole follows from the variational principle.
In the second part, we introduce the Lagrangian approach for the incompressible Euler equations, which tracks locations of the fluid particles in time. Then we explain how dynamical stability of the Lamb dipole can be combined with the Lagrangian argument to prove occurrence of filamentation for perturbations of the Lamb dipole.
Invited Talk
Jae-Hwan Choi (KIAS)
Title : Inviscid limit for the two-dimensional Navier–Stokes equation: Stochastic Lagrangian approach
Abstract : I will discuss recent progress on the vanishing-viscosity limit of the two-dimensional Navier–Stokes equation. Our approach is Lagrangian and probabilistic:
1. We develop a stochastic counterpart of the DiPerna–Lions theory to construct and control stochastic Lagrangian flows for the viscous dynamics.
2. We also establish a large-deviation principle that quantifies convergence to the Euler dynamics.
This talk is based on joint work with Chanwoo Kim, Dohyun Kwon, and Jinsol Seo.
Sungho Han (KAIST)
Title : TBA
Abstract :
Dong-ha Kim (Ajou Univ.)
Title : TBA
Abstract : TBA
Joonhyun La (KIAS.)
Title : TBA
Abstract : TBA
Chanhong Min (Yonsei Univ.)
Title : TBA
Abstract : TBA
Young-Jin Sim (UNIST)
Title : TBA
Abstract : TBA