随机 Kuramoto-Sivashinsky 方程行波解的非线性稳定

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Nonlinear Stability of Traveling Waves for Stochastic Kuramoto-Sivashinsky Equation

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Abstract:

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.

Key words: stochastic Kuramoto-Sivashinsky equation, traveling wave, phase shift, nonlinear stability

CLC Number:

O175.2

Yu Liu, Guanggan Chen, Shuyong Li. Nonlinear Stability of Traveling Waves for Stochastic Kuramoto-Sivashinsky Equation[J].Acta mathematica scientia,Series A, 2025, 45(3): 790-806.

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