GEVREY SOLUTIONS OF QUASI-LINEAR HYPERBOLIC HYDROSTATIC NAVIER-STOKES SYSTEM

被引：2
|
作者：
Li, Wei-Xi [1 ,2 ]
Paicu, Marius [3 ]
Zhang, Ping [4 ,5 ,6 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[2] Wuhan Univ, Hubei Key Lab, Computat Sci, Wuhan 430072, Peoples R China
[3] Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France
[4] Chinese Acad Sci, Acad Math, Syst Sci, Beijing 100190, Peoples R China
[5] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
[6] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2023年 / 55卷 / 06期
基金：
国家重点研发计划; 中国国家自然科学基金;
关键词：
hyperbolic hydrostatic Navier-Stokes system; quasi-linear system; well-posedness; Gevrey class; GLOBAL EXISTENCE; WELL-POSEDNESS; EQUATIONS; PROPAGATION; EULER; LIMIT; SPACE;
D O I：
10.1137/22M1526290
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the well-posedness of a hyperbolic quasi-linear version of hydrostatic Navier-Stokes system in R X T and prove the global well-posedness of the system with initial data which are small and analytic in both variables. We also prove the convergence of such analytic solutions to that of the classical hydrostatic Navier-Stokes system when the delay time converges to zero. Furthermore, we obtain a local well-posedness result in Gevrey class 2 when the initial datum is a small perturbation of some convex function.
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页码：6194 / 6228
页数：35
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