FINITE-DIMENSIONAL GLOBAL ATTRACTOR FOR THE THREE-DIMENSIONAL VISCOUS CAMASSA-HOLM EQUATIONS WITH FRACTIONAL DIFFUSION ON BOUNDED DOMAINS

被引：0

作者：

Tinh, Le tran ^{[1
]}

机构：

[1] Hong Duc Univ, Fac Nat Sci, Thanhhoa, Vietnam

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2024年 / 29卷 / 07期

关键词：

Fractional Camassa-Holm equations; well-posedness; weak solutions; global attractor; fractal dimension; determining modes; NAVIER-STOKES EQUATIONS; WELL-POSEDNESS; NUMERICAL SIMULATIONS; DETERMINING MODES; VOLUME ELEMENTS; MANIFOLDS; EXISTENCE; SYSTEMS; NUMBER; FAMILY;

D O I：

10.3934/dcdsb.2023205

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

. The paper deals with the well-posedness and long-time behavior of solutions for a class of viscous Camassa-Holm equations with fractional diffusion on bounded domains via the global attractor approach. We first prove the existence and uniqueness of weak solutions. Next, we point out the existence of a finite fractal dimensional global attractor and derive upper bounds for the fractal dimension of the global attractor. Finally, the number of determining modes is also studied here.

引用

页码：2880 / 2902

页数：23

共 52 条

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