Upper estimates on Hausdorff and fractal dimensions of global attractors for the 2D Navier–Stokes–Voight equations with a distributed delay

Article type: Research Article

Authors: Qin, Yuming^{a; *} | Su, Keqin^{b; c}

Affiliations: [a] Department of Applied Mathematics, Donghua University, Shanghai 201620, P.R. China. E-mail: [email protected] | [b] School of Information Science and Technology, Donghua University, Shanghai 201620, P.R. China | [c] College of Information and Management Science, Henan Agricultural University, Zhengzhou 450046, P.R. China. E-mail: [email protected]

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: This paper is concerned with the dynamics of 2D Navier–Stokes–Voight equations which govern an incompressible fluid flow. By virtue of energy estimates and compact embedding technique, we establish the existence of finite fractal dimensional global attractor for the 2D Navier–Stokes–Voight equations with a distributed delay.

Keywords: Navier–Stokes–Voight equations, distributed delay, global attractor, fractal dimension

DOI: 10.3233/ASY-181492

Journal: Asymptotic Analysis, vol. 111, no. 3-4, pp. 179-199, 2019