SPATIOTEMPORAL BEHAVIOR OF CONVECTIVE TURING PATTERNS IN POROUS-MEDIA

We investigate the effects of convection on Turing patterns in porous media. We show that convectionless patterns can only exist confined to small domains. These patterns are unstable to convection if the densi ty gradients are large enough. The numerical solution of the Schnacken berg model coupled to Darcy's law shows that the convective pattern is either steady, oscillatory, or reverses direction, depending on the d ensity gradient. In larger domains, we find that convection leads to a n oscillatory state which becomes steady for large density gradients. (C) 1997 American Institute of Physics.