%0 Journal Article %D 2021 %T Local Well Posedness of the Euler–Korteweg Equations on $$\mathbb T}^d}$$ %A Massimiliano Berti %A Alberto Maspero %A Federico Murgante %X

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.

%V 33 %P 1475 - 1513 %8 2021/09/01 %@ 1572-9222 %G eng %U https://doi.org/10.1007/s10884-020-09927-3 %N 3 %! Journal of Dynamics and Differential Equations