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- W2029792495 abstract "The Kuramoto-Sivashinsky equations model pattern formations on unstable flame fronts and thin hydrodynamic films. They are characterized by the coexistence of coherent spatial structures with temporal chaos. We investigate some global dynamical properties, including nonlinear stability. We demonstrate their low modal behavior, in terms of determining modes; and that the fractal dimension of all attractors is bounded by a universal constant times ≈L138, where ≈L is a dimensionless pattern cell size (in the one-dimensional case). Such equations are indeed a paradigm of low-dimensional behavior for infinite-dimensional systems." @default.
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- W2029792495 date "1985-06-01" @default.
- W2029792495 modified "2023-10-11" @default.
- W2029792495 title "Some global dynamical properties of the Kuramoto-Sivashinsky equations: Nonlinear stability and attractors" @default.
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- W2029792495 doi "https://doi.org/10.1016/0167-2789(85)90056-9" @default.
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