Non-Uniform Dependence on Initial Data of Solutions to the
logarithmically regularized 2D Euler equations
Non-Uniform Dependence on Initial Data of Solutions to the
logarithmically regularized 2D Euler equations
In this paper, we study the logarithmically regularized 2D Euler equations, which are derived by regularizing the Euler equation for the vorticity have been studied recently to get better understanding of the Euler equations. It was shown that the local well-posedness in the critical Sobolev space $H^1(\mathbb{R}^2)\cap H^{-1}(\mathbb{R}^2)$ can be …