THE ECKHAUS INSTABILITY FOR TRAVELING WAVES

Publication Type:

Journal Article

Source:

PHYSICA D, ELSEVIER SCIENCE BV, Volume 55, Number 3-4, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, p.269-286 (1992)

Keywords:

BOUNDARY-CONDITIONS; COMPETITION; CONTAINER; CONVECTIVE ROLLS; COUETTE-TAYLOR FLOW; DYNAMICS; NUMBER SELECTION; PATTERN SELECTION; SYSTEMS; THRESHOLD

Abstract:

The Eckhaus instability for traveling waves is studied experimentally, theoretically and numerically. The existence of stable compression pulses is established in a certain domain of parameters. For the experimental parameters, these pulses are transients and are predicted to develop finite time phase slips, corresponding to the annihilation of two cells.