On the stochastic Kuramoto-Sivashinsky equation

被引：33

作者：

Duan, JQ ^{[1
]}

Ervin, VJ ^{[1
]}

机构：

[1] Clemson Univ, Dept Math Sci, Clemson, SC 29634 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 44卷 / 02期

关键词：

random forcing; Kuramoto-Sivashinsky;

D O I：

10.1016/S0362-546X(99)00259-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence and uniqueness of the solution to the Kuramoto-Sivashinsky (K-S) equation is investigated subject to a random forcing term. The solution of du+(uxxxx+uxx+uux)dt-dw = 0 is analyzed, where w is a Q-Wiener process in the probability space (Ω, F, P). The Wiener process w takes value in a Hilbert space. The distribution derivative of w(t) represents an external random force.

引用

页码：205 / 216

页数：12

共 20 条

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[2]

[Anonymous], 1988, APPL MATH SCI

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