7–11 Apr 2025
Lecture and Conference Centre
Europe/Warsaw timezone

Sharp interface dynamics in viscous two-phase flows: stability and long-time behavior

7 Apr 2025, 17:50
20m
Room 8

Room 8

Speaker

Elena Salguero

Description

We investigate the dynamics of two immiscible viscous fluids in a two-dimensional domain, governed by the Stokes-transport system. Our focus lies on the evolution of the free interface separating the fluids. Using a contour dynamics approach, we derive a nonlinear, nonlocal equation for the free boundary and exploit it to study the stability and long-time behavior of the system. This work is in collaboration with F. Gancedo and R. Granero-Belinchón.

Co-author

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