Convective instability induced by nonlocality in nonlinear diffusive systems

Details Convective instability induced by nonlocality in nonlinear diffusive systems Convective instability induced by nonlocality in nonlinear diffusive systems

2005-03-30

arxiv.org/abs/nlin/0503064v2

Nonlinear Sciences

Pattern Formation and Solitons

5 pages, accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.94.243903

We consider a large class of nonlinear diffusive systems with nonlocal coupling. By using a non-perturbative 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 theoretically noise sustained patterns.

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