Finite-Dimensionality and Determining Modes of the Global Attractor for 2D Boussinesq Equations with Fractional Laplacian

Huang Aimin; Huo Wenru; Jolly Michael

doi:10.1515/ans-2017-6036

Advanced Nonlinear Studies (Aug 2018)

Finite-Dimensionality and Determining Modes of the Global Attractor for 2D Boussinesq Equations with Fractional Laplacian

Huang Aimin,
Huo Wenru,
Jolly Michael

Affiliations

Huang Aimin: Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 East Third Street, Rawles Hall, Bloomington, IN 47405, USA
Huo Wenru: Department of Mathematics, Indiana University, 831 East Third Street, Rawles Hall, Bloomington, IN 47405, USA
Jolly Michael: Department of Mathematics, Indiana University, 831 East Third Street, Rawles Hall, Bloomington, IN 47405, USA

DOI: https://doi.org/10.1515/ans-2017-6036
Journal volume & issue: Vol. 18, no. 3
pp. 501 – 515

Abstract

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We prove the finite dimensionality of the global attractor and estimate the numbers of the determining modes for the 2D Boussinesq system in a periodic domain with fractional Laplacian in the subcritical case.

Published in Advanced Nonlinear Studies

ISSN: 1536-1365 (Print); 2169-0375 (Online)
Publisher: De Gruyter
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://www.degruyter.com/journal/key/ans/html

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