%0 Journal Article
%T Estimate on the Dimension of Global Attractor for Nonlinear Higher-Order Coupled Kirchhoff Type Equations
%A Guoguang Lin
%A Lingjuan Hu
%J Advances in Pure Mathematics
%P 11-24
%@ 2160-0384
%D 2018
%I Scientific Research Publishing
%R 10.4236/apm.2018.81002
%X <span style=\"font-size:10.0pt;font-family:;\" \"=\"\">In this paper, we investigate the finite dimensions
of the global attractor for nonlinear higher-order coupled Kirchhoff type
equations with strong linear damping in Hilbert spaces <span style=\"white-space:nowrap;\">&lt;i&gt;E&lt;/i&gt;&lt;SUB&gt;0&lt;/SUB&gt;</span></span><span style=\"font-size:10.0pt;font-family:;\" \"=\"\"><span></span></span><span style=\"font-size:10.0pt;font-family:;\" \"=\"\">&nbsp;and <span style=\"white-space:nowrap;\">&lt;i&gt;E&lt;/i&gt;&lt;SUB&gt;1&lt;/SUB&gt;</span></span><span style=\"font-size:10.0pt;font-family:;\" \"=\"\"><span></span></span><span style=\"font-size:10.0pt;font-family:;\" \"=\"\">. Under the appropriate assumptions, we acquire a
precise estimate of the upper bound for its Hausdorff and Fractal dimensions.</span>
%K Higher-Order
%K Kirchhoff-Type Equations
%K Global Attractor
%K Hausdorff Dimension
%K Fractal Dimension
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=81618