Wavy stripes and squares in zero P number convection

Details Wavy stripes and squares in zero P number convection Wavy stripes and squares in zero P number convection

2001-03-29

arxiv.org/abs/nlin/0103056v1

Nonlinear Sciences

Pattern Formation and Solitons

8 pages and 3 figures, latex

Scientific paper

10.1103/PhysRevE.65.047302

A simple model to explain numerically observed behaviour of chaotically varying stripes and square patterns in zero Prandtl number convection in Boussinesq fluid is presented. The nonlinear interaction of mutually perpendicular sets of wavy rolls, via higher mode, may lead to a competition between the two sets of wavy rolls. The appearance of square patterns is due to the secondary forward Hopf bifurcation of a set of wavy rolls.

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