Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner Journal Article uri icon

Overview

abstract

  • Abstract; We consider the 2D incompressible Euler equation on a corner domain Ω with angle νπ with ; ; ; ; ; 1; ; ; 2; ; ; <; ν; <; 1; ; ; . We prove that if the initial vorticity ω; 0 ∈ L; 1(Ω) ∩ L; ∞(Ω) and if ω; 0 is non-negative and supported on one side of the angle bisector of the domain, then the weak solutions are unique. This is the first result which proves uniqueness when the velocity is far from Lipschitz and the initial vorticity is non-constant around the boundary.

publication date

  • June 6, 2022

has restriction

  • green

Date in CU Experts

  • December 18, 2024 4:42 AM

Full Author List

  • Agrawal S; Nahmod AR

author count

  • 2

Other Profiles

International Standard Serial Number (ISSN)

  • 0951-7715

Electronic International Standard Serial Number (EISSN)

  • 1361-6544

Additional Document Info

start page

  • 2767

end page

  • 2808

volume

  • 35

issue

  • 6