Analyticity for Kuramoto-Sivashinsky type equations and related systems

被引：2

作者：

Ioakim, Xenakis ^{[1
]}

Smyrlis, Yiorgos-Sokratis ^{[1
]}

机构：

[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus

来源：

IUTAM SYMPOSIUM ON NONLINEAR INTERFACIAL WAVE PHENOMENA FROM THE MICRO- TO THE MACRO-SCALE | 2014年 / 11卷

关键词：

Kuramoto-Sivashinsky equation; dissipative-dispersive evolutionary equations; dispersive pseudo-differential operators; analyticity of solutions of partial differential equations; GLOBAL ATTRACTING SET; WAVES; STABILITY; FILMS; PROPAGATION; DYNAMICS; PLANE;

D O I：

10.1016/j.piutam.2014.01.049

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

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. (C) 2013 The Authors. Published by Elsevier B.V.

引用

页码：69 / 80

页数：12

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