赤道β-平面近似的无量纲线性浅水方程组的边值问题  

Boundary value problems for the non-dimensional linear shallow-water equations on an equatorial β-plane

作　　者：沈春[1] 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264025

出　　处：《纯粹数学与应用数学》2007年第1期21-27,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金重大研究计划(90411006)

摘　　要：应用分层理论所提供的方法,研究了赤道β-平面近似的无量纲线性浅水方程组的边值问题的适定性以及相应的识别方法.对于在超平面{x=f(y,t)}和{y=g(x,t)}的边值问题,分别给出了它们局部解的解空间构造.Based on the theory of stratification, the well-posedness of the boundary value problems for the linear shallow-water equations on an equatorial β -plane was discussed and the corresponding discriminating ways was given. The local solution space was constructed respectively for the boundary value problems on the hyper-surface {x = f（y, t）} and on the hyper-surface {y=g （x ,t ） }.

关 键 词：分层 边值问题 适定性 浅水方程 

分 类 号：O175.29[理学—数学]