The attractors for the regularized Benard problem with fractional Laplacian

被引:0
|
作者
Yue, Gaocheng [1 ]
Wang, Jintao [1 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Peoples R China
基金
中国国家自然科学基金;
关键词
Benard equations; Global attractor; Exponential attractor; Fractional; Laplacian operator; CAMASSA-HOLM EQUATIONS; 2D BOUSSINESQ EQUATIONS; GLOBAL WELL-POSEDNESS; EXISTENCE; CHANNEL; MODEL;
D O I
10.1016/j.amc.2020.125640
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we will study the existence of the global and exponential attractors for the regularized Benard equations with fractional Laplacian in the three-dimensional case. This system depends on three parameters beta, gamma and delta, which affect the regularity of the solution. (c) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页数:19
相关论文
共 50 条
  • [21] The obstacle problem for a higher order fractional Laplacian
    Donatella Danielli
    Alaa Haj Ali
    Arshak Petrosyan
    Calculus of Variations and Partial Differential Equations, 2023, 62
  • [22] Epiperimetric inequalities in the obstacle problem for the fractional Laplacian
    Carducci, Matteo
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2024, 63 (06)
  • [23] PULLBACK ATTRACTORS OF A STRAIN GRADIENT POROUS ELASTIC SYSTEM WITH FRACTIONAL LAPLACIAN DISSIPATIONS
    Li, Haiyan
    Cabanillas, Victor r.
    Feng, Baowei
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [24] Fractional potential: A new perspective on the fractional Laplacian problem on bounded domains
    Feng, Libo
    Turner, Ian
    Moroney, Timothy
    Liu, Fawang
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 125
  • [25] BLOW UP LIMITS OF THE FRACTIONAL LAPLACIAN AND THEIR APPLICATIONS TO THE FRACTIONAL NIRENBERG PROBLEM
    Du, Xusheng
    Jin, Tianling
    Xiong, Jingang
    Yang, Hui
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 151 (11) : 4693 - 4701
  • [26] Existence theory and strong attractors for the Rayleigh-Benard problem with a large aspect ratio
    Birnir, B
    Svanstedt, N
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2004, 10 (1-2) : 53 - 74
  • [27] Pullback attractors for nonautonomous 2D Benard problem in some unbounded domains
    Cung The Anh
    Dang Thanh Son
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (13) : 1664 - 1684
  • [28] On the regularized Laplacian eigenmaps
    Cao, Ying
    Chen, Di-Rong
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2012, 142 (07) : 1627 - 1643
  • [29] The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary
    Ros-Oton, Xavier
    Serra, Joaquim
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2014, 101 (03): : 275 - 302
  • [30] On a Nonlocal Fractional p(., .)-Laplacian Problem with Competing Nonlinearities
    K. B. Ali
    M. Hsini
    K. Kefi
    N. T. Chung
    Complex Analysis and Operator Theory, 2019, 13 : 1377 - 1399