Global Attractor of a 3D Tropical Climate Model With Damping-Reference-Cited by-同舟云学术

Global Attractor of a 3D Tropical Climate Model With Damping

Published:2025-05-11 Issue:12 Volume:48 Page:11976-11989
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Mao Rongyan¹,Liu Hui¹²^ORCID,Lin Lin³,Xin Jie⁴^ORCID

Affiliation:

1. School of Mathematical Sciences Qufu Normal University Qufu China

2. School of Mathematical Sciences University of Jinan Jinan China

3. School of Arts and Sciences Shanghai Dianji University Shanghai China

4. School of Information Engineering Shandong Youth University of Political Science Jinan China

Abstract

ABSTRACTIn this paper, we consider the three‐dimensional (3D) tropical climate model with damping term . Firstly, we obtain some uniform estimates of strong solutions. Secondly, we get the continuity of the semigroup in case of . Finally, system (1.1) is shown to possess a ‐global attractor and a ‐global attractor.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.11008

Reference55 articles.

1. TheH¹-compact global attractor for the solutions to the Navier-Stokes equations in two-dimensional unbounded domains

2. On the uniqueness of strong solution to the incompressible Navier–Stokes equations with damping

3. Regularity and uniqueness for the 3D incompressible Navier–Stokes equations with damping

4. Attractors for the three-dimensional incompressible Navier-Stokes equations with damping

5. Uniform attractors for three-dimensional Navier–Stokes equations with nonlinear damping