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Nonpotential effects in dynamics of fronts between convection patterns
1Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel.
Abstract:
The dynamics of fronts between hexagonal convection patterns and a mechanical equilibrium state are investigated in the cases where the hexagons are stable and the equilibrium is either stable or unstable. The Newell-Whitehead-Segel, equations with additional nonpotential terms are used. The velocity of the domain boundary between two competing convection patterns and the wave number selected in the presence of the front are calculated.