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Spatiotemporal patterns near a codimension-2 Turing-Hopf point of the one-dimensional
superdiffusive Brusselator model are analyzed. The superdiffusive Brusselator model
differs from its regular counterpart in that the Laplacian operator of the regular model
is replaced by ∂α/∂|ξ|α, 1 < α
< 2, an integro-differential operator that reflects the nonlocal behavior of
superdiffusion. The order of the operator, α, is a measure of the rate of
...
Nous précisons, dans le contexte microlocal Sobolev, les résultats de propagations de singularités obtenus par N. Hanges dans le contexte microlocal pour les opérateurs pseudo-differentiels à symbole principal réel et dont la variété caractéristique est la réunion de deux hypersurfaces lisses d’intersection non involutive. Nous obtenons également un résultat de propagation dans un cas non linéaire. Nos démonstrations consistent essentiellement à étudier l’action des paramétrices constantes par...
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