00820nas a2200169 4500008004100000020001400041245008400055210007100139260001500210300001600225490000700241520028700248100002400535700002100559700002300580856004700603 2021 eng d a1572-922200aLocal Well Posedness of the Euler–Korteweg Equations on $${{\mathbb {T}}^d}$$0 aLocal Well Posedness of the Euler–Korteweg Equations on mathbb T c2021/09/01 a1475 - 15130 v333 a
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.
1 aBerti, Massimiliano1 aMaspero, Alberto1 aMurgante, Federico uhttps://doi.org/10.1007/s10884-020-09927-3