Convective instability induced by nonlocality in nonlinear diffusive systems
Physical Review Letters 94, 243903 (1-4) (2005)
We consider a large class of nonlinear diffusive systems with nonlocal coupling. By using a nonperturbative analytical approach we are able to determine the convective and absolute instabilities of all the uniform states of these systems. We find a huge window of convective instability that should provide a great opportunity to study experimentally and heoretically noise sustained patterns.