Large time existence of Euler–Korteweg equations and two-fluid Euler–Maxwell equations with vorticity
نویسندگان
چکیده
The aim of this paper is to study the influence vorticity on existence time in fluid systems for which global smoothness and decay are known case small irrotational data. We focus two examples: Euler–Korteweg system two-fluid Euler–Maxwell system. prove that lower bound lifespan these no less than inverse Hs (s>5∕2) norm rotational part initial velocity. Our approach based energy estimates fast results solutions with
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ژورنال
عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications
سال: 2021
ISSN: ['1873-5215', '0362-546X']
DOI: https://doi.org/10.1016/j.na.2021.112273