随机Benjamin-Ono 方程初值问题及对河口区域生物分布的应用

华东师范大学学报(自然科学版) ›› 2003, Vol. 2003 ›› Issue (2): 22-26.

随机Benjamin-Ono 方程初值问题及对河口区域生物分布的应用

李英；汪礼礽

华东师范大学数学系，上海 200062

收稿日期:2001-04-11 修回日期:2002-01-06 出版日期:2003-04-15 发布日期:2003-04-15

Initial Problem for Stochastic Benjamin-Ono Equation and Application to Biological Population in Estuarial Areas

LI Ying; WANG Li-reng

Department of Mathematics, East China Normal University, Shanghai 200062,China

Received:2001-04-11 Revised:2002-01-06 Online:2003-04-15 Published:2003-04-15

摘要/Abstract

摘要： 该文对具梯度耦合噪声的随机Benjamin-Ono 方程（以下简记为B-O方程）的初值问题导出了解得积分表达式，并将它应用于河口区域生物分布问题，得到了一维空间的分布表达式。

关键词: 随机iB-O方程, 初值问题, 河口区域, 生物分布, 随机iB-O方程, 初值问题, 河口区域, 生物分布

Abstract: In this paper,we obtain the integral representationof the solutionof initial value problem for stochastic Benjamin-Ono equation with gradient coupled noise, and give its application to the distribution of the biological population in estuarial areas, and then obtain distribution representation of 1-space.

Key words: initial value problem, estuarial areas, biological distribution, stochastic Benjamin-Ono equation, initial value problem, estuarial areas, biological distribution

李英;汪礼礽. 随机Benjamin-Ono 方程初值问题及对河口区域生物分布的应用[J]. 华东师范大学学报(自然科学版), 2003, 2003(2): 22-26.

LI Ying;WANG Li-reng. Initial Problem for Stochastic Benjamin-Ono Equation and Application to Biological Population in Estuarial Areas[J]. Journal of East China Normal University(Natural Sc, 2003, 2003(2): 22-26.