Decay of solutions and structural stability for the coupled Kuramoto-Sivashinsky-Ginzburg-Landau equations

被引：5

作者：

Celebi, Okay A. ^{[1
]}

Kalantarov, Varga K. ^{[2
]}

机构：

[1] Yedi Tepe Univ, Dept Math, Istanbul, Turkey

[2] Koc Univ, Dept Math, Istanbul, Turkey

来源：

APPLICABLE ANALYSIS | 2015年 / 94卷 / 11期

关键词：

structural stability; continuous dependence; Kuramoto-Sivashinsky-Ginzburg-Landau equations; decay estimate; 35B30; 35K55; 35Q35; CONTINUOUS DEPENDENCE; MARANGONI CONVECTION;

D O I：

10.1080/00036811.2014.983489

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that solutions of the initial boundary value problem for the coupled system of Kuramoto-Sivashinsky and Ginzburg-Landau (KS-GL) equations continuously depend on parameters of the system, and under some restrictions on parameters all solutions of initial boundary value problem for KS-GL equations tend to zero as <inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="gapa_a_983489_ilm0001.gif"></inline-graphic> with an exponential rate.

引用

页码：2342 / 2354

页数：13

共 4 条

[1] Bifurcation Analysis of a Coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-Type Model
Shi, Lei
JOURNAL OF APPLIED MATHEMATICS, 2013,
[2] Structural stability and decay estimate for marine riser equations
Celebi, A. O.
Gur, S.
Kalantarov, V. K.
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (11-12) : 3182 - 3188
[3] Spatial decay bound and structural stability for the double-diffusion perturbation equations
Li, Yuanfei
Chen, Xuejiao
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (02) : 2998 - 3022
[4] Structural stability of non-ground state traveling waves of coupled nonlinear Schrodinger equations
Li, YA
Promislow, K
PHYSICA D-NONLINEAR PHENOMENA, 1998, 124 (1-3) : 137 - 165

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