Stability of stratified density under incompressible flows
임덕우(연구원)
129동 301호
0
6382
2025.02.18 14:34
| 구분 | 편미분방정식 |
|---|---|
| 일정 | 2025-03-19 15:00 ~ 16:00 |
| 강연자 | 박재민 (연세대학교) |
| 기타 | |
| 담당교수 | 정인지 |
- In this talk, I will discuss asymptotic stability in the incompressible porous media equation in a periodic channel. It is well known that a stratified density, which strictly decreases in the vertical direction, is asymptotically stable under sufficiently small, smooth perturbations. We achieve improvements in the regularity assumptions on the perturbation and in the convergence rate. We apply a similar idea to the Stokes transport system. Instead of relying on the linearized equations, we directly address the nonlinear problem, and the decay of solutions will be obtained from the gradient flow structure of the equation.
