{"title":"非线性ode自治系统奇异bvp的正确表述及其在流体力学中的应用","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":"{\"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}","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}
On correct statement of singular BVPs for autonomous systems of nonlinear ODEs with the applications to hydrodynamics
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.
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