旋转浅水和欧拉方程的渐近极限  

Asymptotic Limit of the Rotating Shallow Water and Euler Equations

作　　者：刘梦雨 杨建伟 LIU Mengyu;YANG Jianwei(School of Mathematics and Statistics,North China University of Water Resources and Electric Power,Zhengzhou 450046,Henan)

机构地区：[1]华北水利水电大学数学与统计学院,河南郑州450046

出　　处：《四川师范大学学报（自然科学版）》2023年第5期623-627,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：河南省自然科学基金重点项目(232300421143)。

摘　　要：基于测度值解的概念,研究了旋转浅水和欧拉方程的渐近极限问题.在好初值条件下,证明了当弗劳德数趋近于零时,旋转浅水和欧拉方程的测度值解收敛于旋转湖方程的经典解.In this paper,we study the asymptotic limit of the rotating shallow water and Euler equations based on the concept of measure-valued solutions.In the case of well-prepared initial data,we prove that the measure-valued solutions of the rotating shallow water and Euler equations converge to the classical solution of the rotating lake equations when the Froued number tends to zero.

关 键 词：旋转浅水和欧拉方程 测度值解 渐近极限 

分 类 号：O175.2[理学—数学]