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

作者：Celebi Okay A; Kalantarov Varga K^*

来源：APPLICABLE ANALYSIS, 2015, 94(11): 2342-2354.

DOI：10.1080/00036811.2014.983489

• structural stability
• continuous dependence
• Kuramoto-Sivashinsky-Ginzburg-Landau equations
• decay estimate
• 35B30
• 35K55
• 35Q35

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 with an exponential rate.

• 出版日期2015-11-2