Set of steady-state traveling waves on the surface of a liquid film flowing down an inclined plane

1990 ◽  
Vol 24 (6) ◽  
pp. 926-930
Author(s):  
Yu. Ya. Trifonov ◽  
O. Yu. Tsvelodub
Keyword(s):  
Steady State ◽  
Liquid Film ◽  
Traveling Waves ◽  
Inclined Plane

STABILITY OF STEADY STATE AND TRAVELING WAVES SOLUTIONS IN COUPLED MAP LATTICES

2008 ◽  
Vol 18 (01) ◽  
pp. 219-225 ◽  
Author(s):  
DANIEL TURZÍK ◽  
MIROSLAVA DUBCOVÁ
Keyword(s):  
Steady State ◽  
Essential Spectrum ◽  
Traveling Waves ◽  
Traveling Wave ◽  
Traveling Wave Solutions ◽  
Linear Operators ◽  
Coupled Map Lattices ◽  
Basic Tool ◽  
Wave Solutions ◽  
The Stability

We determine the essential spectrum of certain types of linear operators which arise in the study of the stability of steady state or traveling wave solutions in coupled map lattices. The basic tool is the Gelfand transformation which enables us to determine the essential spectrum completely.

The flow of a micropolar liquid layer down an inclined plane

1968 ◽  
Vol 64 (2) ◽  
pp. 513-526 ◽  
Author(s):  
A. J. Willson
Keyword(s):  
Thin Films ◽  
Steady State ◽  
Liquid Layer ◽  
Stability Criterion ◽  
Long Waves ◽  
Inclined Plane ◽  
The Stability ◽  
Micropolar Liquid

AbstractConsideration is given to the flow of a micropolar liquid down an inclined plane. The steady state is analysed and Yih's technique is employed in an investigation of the stability of this flow with respect to long waves. Detailed calculations are given for thin films and it is shown that the micropolar properties of the liquid play an important role in the stability criterion.

Viscous damping and instabilities in stratified liquid film flowing down a slightly inclined plane

1997 ◽  
Vol 9 (1) ◽  
pp. 23-30 ◽  
Author(s):  
Igor L. Kliakhandler ◽  
Gregory I. Sivashinsky
Keyword(s):  
Liquid Film ◽  
Viscous Damping ◽  
Inclined Plane ◽  
Stratified Liquid
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