Global classical solutions to equatorial shallow-water equations-Reference-Cited by-同舟云学术

Global classical solutions to equatorial shallow-water equations

Published:2023-09-21 Issue:01-?? Volume:2023 Page:62
ISSN:1072-6691
Container-title:Electronic Journal of Differential Equations
language:
Short-container-title:ejde

Author:

Fang Yue,Li Kaiqiang,Xu Xin

Abstract

In this article, we study the equatorial shallow-water equations with slip boundary condition in bounded domain. By exploring the dissipative structures of the system, we obtaining a priori estimates of the solution for small initial data. Then the existence of classical global solutions and exponential stability results are given. For more inofrmation see https://ejde.math.txstate.edu/Volumes/2023/62/abstr.html

Publisher

Texas State University

Subject

Analysis

Reference20 articles.

1. D. Bresch; Shallow-water equations and related topics, in: Handbook of Differential Equations: Evolutionary Equations, vol. V, in: Handb. Differ. Equ., Elsevier, North-Holland, Amsterdam, 2009, pp. 1-104.

2. D. Bresch, B. Desjardins, G. Metivier; Recent mathematical results and open problems about shallow water equations, in: Analysis and Simulation of Fluid Dynamics, i n: Adv. Math. Fluid Mech., Birkhauser, Basel, 2007, pp. 15{31.

3. B. Cheng, P. Qu, C. Xie; Singularity formation and global existence of classical solutions for one-dimensional rotating shallow water system, SIAM Journal on Mathematical Analysis, 50(3) (2018), 2486-2508.

4. B. Cheng, C. Xie; On the classical solutions of two dimensional inviscid rotating shallow water system, Journal of Differential Equations, 250(2) (2011), 690-709.

5. A. Dutrifoy, A. Majda; The dynamics of equatorial long waves: a singular limit with fast variable coeficients, Communications in Mathematical Sciences, 4(2) (2006), 375-397.