Global well-posedness of 2D Hyperbolic perturbation of the Navier-Stokes system in a thin strip

被引：2
|
作者：
Aarach, Nacer [1 ]
机构：
[1] Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 76卷
关键词：
Hyperbolic Perturbation Of NS; Littlewood-Paley theory; Well-posedness; ZERO-VISCOSITY LIMIT; PRANDTL SYSTEM; EQUATIONS; EXISTENCE; SPACE; PROPAGATION; ATMOSPHERE; REGULARITY;
D O I：
10.1016/j.nonrwa.2023.104014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a hyperbolic version of the Navier-Stokes equations, obtained by using the approximation by relaxation of the Euler system, evolving in a thin strip domain. The formal limit of these equations is a hyperbolic Prandtl type equation, our goal is to prove the existence and uniqueness of a global solution to these equations for analytic initial data in the tangential variable, under a uniform smallness assumption. Then we justify the limit from the anisotropic hyperbolic Navier-Stokes system to the hydrostatic hyperbolic Navier-Stokes system with small analytic data.(c) 2023 Elsevier Ltd. All rights reserved.
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页数：63
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