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

2020/07/22 by Berti, Massimiliano, Maspero, Alberto, Murgante, Federico
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2007.11275

Abstract

We consider the Euler-Korteweg system with space periodic boundary conditions x ∈ \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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