asymptotic stability 1computer-assisted proof 1conformal mapping 1critical regularity 1elastic membrane 1global bifurcation 1global well-posedness 1overhanging profiles 1peskin problem 1stokes flow 1water waves 1
From the 2 of 3 linked papers with an AI index.
3 papers
math.AP2026
Global Bifurcation and the Constructive Existence of Overhanging Periodic Steady Water Waves
Matthieu Cadiot, Susanna Haziot
The paper gives a constructive proof that overhanging periodic gravity water waves with constant vorticity exist, using a conformal mapping and global bifurcation methods combined…
math.AP2026
On the global asymptotic stability for the 3D Peskin Problem at critical regularity
Eduardo GarcÃa-Juárez, Susanna V. Haziot, Po-Chun Kuo +2
The paper proves that a three‑dimensional elastic membrane immersed in a Stokes fluid (the Peskin problem) has globally well‑posed solutions that become smooth instantly and conver…
math.AP2024
Amplitude bounds of steady rotational water waves
Susanna V. Haziot, Walter A. Strauss
We consider classical steady water waves with a free surface, a flat bottom and constant vorticity . In the adverse case we prove that there is an absolute upper bound o…