摘要
文章主要研究了随机Kuramoto-Sivashinsky方程的行波解的非线性稳定性.利用随机相位变换法和分裂时间变量,验证了当随机系统的噪声强度足够小并且其初始值足够接近所对应确定系统的行波时,该随机系统所对应的确定系统的行波解保持非线性稳定性.
This work is concerned with the nonlinear stability of traveling wave for the stochastic Kuramoto-Sivashinsky equation.By stochastic phase shift method and splitting time argument,we prove that the traveling wave solution of the deterministic system retain the nonlinear stability when the noise intensity of the stochastic system is small enough and its initial value is sufficiently close to the traveling wave of the corresponding deterministic system.
作者
刘羽
陈光淦
李树勇
Yu Liu;Guanggan Chen;Shuyong Li(School of Mathematical Science and V.C.&V.R.Key Lab,Sichuan Normal University,Chengdu 610068;College of Mathematics and Physics,Mianyang Teachers'College,Sichuan Mianyang 621000)
出处
《数学物理学报(A辑)》
北大核心
2025年第3期790-806,共17页
Acta Mathematica Scientia
基金
国家自然科学基金(12171343)
四川省科技计划(2022JDTD0019)。
