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arXiv · 1709.07422

Well-posedness of the 2D Euler equations when velocity grows at infinity

Elaine Cozzi·James P. Kelliher
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Abstract

We prove the uniqueness and finite-time existence of bounded-vorticity solutions to the 2D Euler equations having velocity growing slower than the square root of the distance from the origin, obtaining global existence for more slowly growing velocity fields. We also establish continuous dependence on initial data.

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Elaine Cozzi, James P. Kelliher. 2017-09-21. Well-posedness of the 2D Euler equations when velocity grows at infinity. https://arxiv.org/abs/1709.07422

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