Journal
PHYSICA D-NONLINEAR PHENOMENA
Volume 237, Issue 8, Pages 1139-1150Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physd.2007.11.024
Keywords
doubly diffusive instability; localized states; numerical continuation
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Numerical continuation is used to follow branches of steady doubly diffusive convection in a vertical slot driven by imposed horizontal temperature and concentration gradients. No-slip boundary conditions are used on the lateral walls; periodic boundary conditions with large spatial period are used in the vertical direction. A variety of different states, both spatially periodic and spatially localized, are identified and the profusion of the resulting solution branches is linked to a phenomenon known as homoclinic snaking. (C) 2007 Elsevier B.V. All rights reserved.
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