Definition of Strange Attractor in Benard problem for Generalized Couette Cell

TL;DR

This paper analyzes the dynamic behavior of viscous flows in a generalized Couette cell, deriving a system that characterizes the central limiting behavior, which may relate to strange attractors in the Benard problem.

Contribution

It introduces a new dynamic system model for viscous flow in generalized Couette cells, expanding understanding of complex flow behaviors like strange attractors.

Findings

Derived a dynamic system for viscous flow in generalized Couette cell.

Identified conditions for strange attractors in the Benard problem.

Provides a mathematical framework for analyzing flow stability.

Abstract

For movements of the viscous continuous flow in generalized Couette cell the dynamic system describing the central limiting variety is received.