A new mode reduction strategy for the generalized Kuramoto-Sivashinsky equation

DOI10.1093/imamat/hxt041zbMath1328.35238arXiv1111.2269OpenAlexW2126580485MaRDI QIDQ5257947

Markus Schmuck, Serafim Kalliadasis, Marc Pradas, Grigorios A. Pavliotis

Publication date: 24 June 2015

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2269

zbMATH Keywords

renormalization group methodgeneralized Kuramoto-Sivashinsky equationstochastic mode reduction

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) Renormalization group methods in equilibrium statistical mechanics (82B28) PDEs in connection with relativity and gravitational theory (35Q75) Measures of information, entropy (94A17)

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Linear response based parameter estimation in the presence of model error ⋮ Data-based stochastic model reduction for the Kuramoto-Sivashinsky equation ⋮ Dynamics and control of the modified generalized Korteweg-de Vries-Burgers equation with periodic boundary conditions ⋮ A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation ⋮ Amplitude equation for the generalized Swift-Hohenberg equation with noise ⋮ Generalization of Gegenbauer wavelet collocation method to the generalized Kuramoto-Sivashinsky equation ⋮ Nonlinear adaptive boundary control of the modified generalized Korteweg-de Vries-Burgers equation ⋮ Variational approach to closure of nonlinear dynamical systems: autonomous case ⋮ Modelling and nonlinear boundary stabilization of the modified generalized Korteweg-de Vries-Burgers equation

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