Local well posedness of the Euler-Korteweg equations on $ \mathbb T^d $

Massimiliano Berti; Alberto Maspero; Federico Murgante

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arXiv · 2007.11275

Local well posedness of the Euler-Korteweg equations on $ \mathbb T^d $

Massimiliano Berti·Alberto Maspero·Federico Murgante

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Abstract

We consider the Euler-Korteweg system with space periodic boundary conditions $ x \in \mathbb T^d $. We prove a local in time existence result of classical solutions for irrotational velocity fields requiring natural minimal regularity assumptions on the initial data.

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Massimiliano Berti, Alberto Maspero, Federico Murgante. 2020-07-22. Local well posedness of the Euler-Korteweg equations on $ \mathbb T^d $. https://arxiv.org/abs/2007.11275

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