Remark on single exponential bound of the vorticity gradient for the two-dimensional Euler flow around a corner

2014/10/01 by Itoh, Tsubasa, Miura, Hideyuki, Yoneda, Tsuyoshi
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.0120

Abstract

In this paper, the two dimensional Euler flow under a simple symmetry condition with hyperbolic structure in a unit square D=\(x₁,x₂):0

Related

• The growth of the vorticity gradient for the two-dimensional Euler flows on domains with corners
• No Local Double Exponential Gradient Growth in Hyperbolic Flow for the Euler equation
• Double exponential growth of the vorticity gradient for the two-dimensional Euler equation
• Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow
• Uniqueness of the 2D Euler equation on a corner domain with non-constant vorticity around the corner