| Title | Local well posedness of the Euler-Korteweg equations on {$\Bbb T^d$} |
| Publication Type | Journal Article |
| Year of Publication | 2021 |
| Authors | Berti, M, Maspero, A, Murgante, F |
| Journal | Journal of Dynamics and Differential Equations |
| Volume | 33 |
| Issue | 3 |
| Pagination | 1475 - 1513 |
| Date Published | 2021/09/01 |
| ISBN Number | 1572-9222 |
| 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. |
| URL | https://doi.org/10.1007/s10884-020-09927-3 |
| DOI | 10.1007/s10884-020-09927-3 |
| Short Title | Journal of Dynamics and Differential Equations |
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