{"title":"On correct statement of singular BVPs for autonomous systems of nonlinear ODEs with the applications to hydrodynamics","authors":"N. Konyukhova, A. I. Sukov","doi":"10.1109/DD.2003.238181","DOIUrl":null,"url":null,"abstract":"This paper deals with some autonomous systems (ASs) of nonlinear ordinary differential equations (ODEs) arising from incompressible fluid mechanics. For these systems defined on a (semi)infinite interval and having in a phase space an infinite set of pseudohyperbolic equilibrium points, we discuss an approach to correct statement of singular boundary value problems (BVPs) and their reduction to equivalent regular ones. The associated stable numerical methods are proposed and the results of their application are illustrated.","PeriodicalId":332604,"journal":{"name":"International Seminar Day on Diffraction, 2003. Proceedings.","volume":"46 ","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Seminar Day on Diffraction, 2003. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2003.238181","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
This paper deals with some autonomous systems (ASs) of nonlinear ordinary differential equations (ODEs) arising from incompressible fluid mechanics. For these systems defined on a (semi)infinite interval and having in a phase space an infinite set of pseudohyperbolic equilibrium points, we discuss an approach to correct statement of singular boundary value problems (BVPs) and their reduction to equivalent regular ones. The associated stable numerical methods are proposed and the results of their application are illustrated.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
