Analyticity for Kuramoto-Sivashinsky type equations and related systems
Date
2013Source
Procedia IUTAMIUTAM Symposium on Nonlinear Interfacial Wave Phenomena from the Micro- to the Macro-Scale
Volume
11Pages
69-80Google Scholar check
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We study the analyticity properties of solutions of Kuramoto-Sivashinsky type equations and related systems, with periodic initial data. In order to do this, we explore the sharpness of the method developed in Collet et al. 5, by investigating its applicability to other models. We prove that the solutions of a variety of dissipative-dispersive systems, which possess a global attractor, are analytic with respect to the spatial variable in a strip around the real axis and a lower bound for the width of the strip of analyticity is obtained in each case. © 2013 The Authors.