Rodriguez-Bernal, A. Inertial manifolds, symmetry and applications to PDE’s. (English) Zbl 0819.35075 Diaz, J.-I. (ed.) et al., Mathematics, climate and environment. Paris: Masson. Res. Notes Appl. Math. 27, 296-306 (1993). Nonlinear parabolic equations in a small or thin bounded domain in \(\mathbb{R}^ 2\) with periodic, Neuman or Dirichlet boundary conditions are considered. Using inertial manifolds (under the spectral gap condition) and the group of symmetries of the equation the asymptotic behavior of the solutions of the equation is studied.For the entire collection see [Zbl 0782.00023]. Reviewer: H.D.Voulov (Sofia) MSC: 35K55 Nonlinear parabolic equations 35B40 Asymptotic behavior of solutions to PDEs 58J70 Invariance and symmetry properties for PDEs on manifolds Keywords:thin bounded domain in \(\mathbb{R}^ 2\); inertial manifolds; spectral gap condition PDFBibTeX XMLCite \textit{A. Rodriguez-Bernal}, Res. Notes Appl. Math. 27, 296--306 (1993; Zbl 0819.35075)