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Small scale properties of the stochastic stabilized Kuramoto-Sivashinsky equation

✍ Scribed by J. Buceta; J.M. Pastor; M.A. Rubio; F.J. de la Rubia

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
492 KB
Volume
113
Category
Article
ISSN
0167-2789

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✦ Synopsis

We present analytical and numerical results about the scaling properties at short times and small length scales of the stochastic version of the stabilized KuramotcAivashinky equation (SSKS) in 1 + 1 dimensions, recently considered to model the slow compact growth in electrodeposition. By using the linearized fluctuation theory we obtain several relevant quantities related to the scaling properties. We compare these results with numerical simulations and find that the SSKS equation has an anomalous scaling behaviour.

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✍ Panagiotis D. Christofides; Antonios Armaou 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 211 KB

This work addresses the problem of global exponential stabilization of the Kuramoto-Sivashinsky equation (KSE) subject to periodic boundary conditions via distributed static output feedback control. Under the assumption that the number of measurements is equal to the total number of unstable and cri