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Abstract: We study a nonlocal equation, analogous to the Kuramoto-Sivashinsky equation, in which short waves are stabilized by a possibly fractional diffusion of order less than or equal to two, and long waves are destabilized by a backward fractional diffusion of lower order. We prove the global existence, uniqueness, and analyticity of solutions of the nonlocal equation and the existence of a compact attractor. Numerical results show that the equation has chaotic solutions whose spatial structure consists of interacting travelling waves resembling viscous shock profiles. © 2015 IOP Publishing Ltd & London Mathematical Society.
Fuente: Nonlinearity, 2015, 28, 1103-1133
Editorial: Institute of Physics
Fecha de publicación: 01/04/2015
Nº de páginas: 31
Tipo de publicación: Artículo de Revista
DOI: 10.1088/0951-7715/28/4/1103
ISSN: 0951-7715,1361-6544
Proyecto español: MTM2011-26696
Url de la publicación: https://doi.org/10.1088/0951-7715/28/4/1103
Consultar en UCrea Leer publicación
RAFAEL GRANERO BELINCHON
HUNTER, JOHN K
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