2 papers
math.AP2026
Uniform in gravity estimates for 2D water waves
Siddhant Agrawal
We consider the 2D gravity water waves equation on an infinite domain. We prove a local wellposedness result which allows interfaces with corners and cusps as initial data and whic…
math.AP2026
Self-Similar Solutions to the Hele-Shaw Problem with Surface Tension
Siddhant Agrawal, Neel Patel
We consider the Hele-Shaw problem with surface tension in an infinite domain. We prove the existence of a family of self-similar solutions. At , these solutions have a corner…