Global $\dot H^1 \cap \dot H^{-1}$ solutions to a logarithmically regularized 2D Euler equation

preprint2012arXivOpen access

We construct global $\dot H^1\cap \dot H^{-1}$ solutions to a logarithmically modified 2D Euler vorticity equation. Our main tool is a new logarithm interpolation inequality which exploits the $L^{\infty-}$ -conservation of the vorticity.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

Global $\dot H^1 \cap \dot H^{-1}$ solutions to a logarithmically regularized 2D Euler equation

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0

Global H˙1∩H˙−1\dot H^1 \cap \dot H^{-1}H˙1∩H˙−1 solutions to a logarithmically regularized 2D Euler equation

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0

Global $\dot H^1 \cap \dot H^{-1}$ solutions to a logarithmically regularized 2D Euler equation