EXACT INERTIAL MANIFOLDS FOR DYNAMICAL SYSTEMS
In this paper, a new approach is proposed for finding inertial manifolds of dynamical systems, based on the concepts of Lie algebras and symmetry groups of differential equations. The method used is capable of providing exact inertial manifolds that have been calculated numerically and approximately. Also, due to the concept of optimal systems, used tact leads to the reduction of differential equation systems and their easier solution.
inertial manifold, symmetry group, optimal system, Navier-Stokes equation.