Local Well Posedness of the Euler-Korteweg Equations on Td

被引：0

作者：

Berti, M. ^{[1
]}

Maspero, A. ^{[1
]}

Murgante, F. ^{[1
]}

机构：

[1] Int Sch Adv Studies SISSA, Via Bonomea 265, I-34136 Trieste, Italy

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2021年 / 33卷 / 03期

关键词：

Euler-Korteveg equations; Local well-posedness; Energy estimates; Para-differential calculus;

D O I：

10.1007/s10884-020-09927-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Euler-Korteweg system with space periodic boundary conditions x is an element of 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.

引用

页码：1475 / 1513

页数：39

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