@article{10902/29547,
year = {2015},
month = {4},
url = {https://hdl.handle.net/10902/29547},
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.},
organization = {The first author receives financial support by the grant MTM2011-26696 from the former Ministerio de Ciencia e Innovación (MICINN, Spain). The second author was partially supported by the NSF under grant number DMS-1312342.},
publisher = {Institute of Physics},
publisher = {Nonlinearity, 2015, 28, 1103-1133},
title = {On a nonlocal analog of the kuramoto-sivashinsky equation},
author = {Granero Belinchón, Rafael and Hunter, John K},
}