Topological stability and patterns of traveling wave for a micro-polar non-Newtonian fluid model
Xin Wang
Abstract
A nonlinear micro-polar non-Newtonian fluid model is investigated. By the complete discrimination system for polynomial method, we give the classification of the traveling wave patterns and analysis of topological stability and dynamical behaviors. We also discuss the physical realizations and the conditions of existence of these patterns. As a result, when some of parameters are not intrinsic parameters we show that in general only two stable patterns will be observed.
Topics & Concepts
PolarStability (learning theory)Newtonian fluidNonlinear systemPolynomialTopology (electrical circuits)Traveling wavePhysicsStatistical physicsClassical mechanicsMathematical analysisMathematicsComputer scienceQuantum mechanicsCombinatoricsMachine learningNonlinear Waves and SolitonsFluid Dynamics and Thin FilmsFractional Differential Equations Solutions