Quadratic friction effect in multilevel nonlinear systems
Abstract
Consideration is given to a multilevel nonlinear system with a small number of degrees of freedom, whose equations of motion, in the absence of external forces and dissipation, have the general properties of the hydrodynamic equations of an incompressible fluid. Energy flux to smaller scales is modeled by quadratic friction. Steady state flow solutions are obtained and their stability is examined.
 Publication:

Akademiia Nauk SSSR Fizika Atmosfery i Okeana
 Pub Date:
 September 1977
 Bibcode:
 1977FizAO..13..917G
 Keywords:

 Cascade Flow;
 Flow Stability;
 Friction Drag;
 Hydrodynamic Equations;
 Incompressible Fluids;
 Nonlinear Systems;
 Degrees Of Freedom;
 Energy Dissipation;
 Mathematical Models;
 Quadratic Equations;
 Rotating Fluids;
 Steady Flow;
 Systems Stability