A global attracting set for the Kuramoto-Sivashinsky equation
The authors give new bounds for the \(L^ 2\)-norm of the solution of the Kuramoto-Sivashinsky equation. This new bound is obtained by adapting a technique first initiated by \textit{R. Temam} [Infinite-dimensional dynamical systems in mechanics and physics (Springer, 1988; Zbl 0662.35001)]. This bound is equal to a constant multiplied by \(L^{8/5}\).
scientific article; zbMATH DE number 222068