Water waves with contact angles and surface tension

fluid dynamics
partial differential equations
grenoble
institut fourier
fluid mechanic
eem2023
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]
[PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn]
Surface tension
Contact angles
Water waves

Appears in collection : Summer School 2023 - New trends in mathematical fluid dynamics

We prove the local well-posedness of the water waves problem in a 2D domain with contact angles and surface tension. The geometric formulation by Shatah-Zeng is used and adapted here to our case. The contact angle is between $(0, \pi/2)$ and the singularities from related elliptic systems are considered. This talk is based on joint works with Chao Wang.