Strange attractors for Overbeck -Boussinesq model
Abstract
In this paper, we consider dynamics defined by the Navier-Stokes equations in the Oberbeck-Boussinesq approximation in a two dimensional domain. This model of fluid dynamics involve fundamental physical effects: convection, and diffusion. The main result is as follows: local semiflows, induced by this problem, can generate all possible structurally stable dynamics defined by smooth vector fields on compact smooth manifolds (up to an orbital topological equivalency). To generate a prescribed dynamics, it is sufficient to adjust some parameters in the equations, namely, the viscosity coefficient, an external heat source, some parameters in boundary conditions and the small perturbation of the gravitational force.
Keywords
Cite
@article{arxiv.1901.01254,
title = {Strange attractors for Overbeck -Boussinesq model},
author = {Sergey Vakulenko},
journal= {arXiv preprint arXiv:1901.01254},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1511.02047