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math.AP2023
Uniqueness of the 2D Euler equation on rough domains
Siddhant Agrawal, Andrea R. Nahmod
We consider the 2D incompressible Euler equation on a bounded simply connected domain . We give sufficient conditions on the domain so that for all initial vorticity $ω_0 \i…
math.AP2023
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…