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UID:news1890@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20250707T174340
DTSTART;TZID=Europe/Zurich:20250716T173000
SUMMARY:An afternoon of analysis talks: Jaemin Park (Yonsei University)
DESCRIPTION:In this talk\, I will discuss asymptotic stability in the incom
 pressible porous media equation in a periodic channel. It is well known th
 at a stratified density\, which strictly decreases in the vertical directi
 on\, is asymptotically stable under sufficiently small\, smooth perturbati
 ons. We achieve improvements in the regularity assumptions on the perturba
 tion and in the convergence rate. We apply a similar idea to the Stokes tr
 ansport system. Instead of relying on the linearized equations\, we direct
 ly address the nonlinear problem\, and the decay of solutions will be obta
 ined from the gradient flow structure of the equation.
X-ALT-DESC:<p>In this talk\, I will discuss asymptotic stability in the inc
 ompressible porous media equation in a periodic channel. It is well known 
 that a stratified density\, which strictly decreases in the vertical direc
 tion\, is asymptotically stable under sufficiently small\, smooth perturba
 tions. We achieve improvements in the regularity assumptions on the pertur
 bation and in the convergence rate. We apply a similar idea to the Stokes 
 transport system. Instead of relying on the linearized equations\, we dire
 ctly address the nonlinear problem\, and the decay of solutions will be ob
 tained from the gradient flow structure of the equation.</p>
DTEND;TZID=Europe/Zurich:20250716T183000
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