具有一般反照率边界条件的动能中子输运问题的存在性结果

Transport Theory and Statistical Physics Pub Date : 2011-09-01 DOI:10.1080/00411450.2011.596607

R. Sánchez, L. Bourhrara

{"title":"具有一般反照率边界条件的动能中子输运问题的存在性结果","authors":"R. Sánchez, L. Bourhrara","doi":"10.1080/00411450.2011.596607","DOIUrl":null,"url":null,"abstract":"We present an existence result for the kinetic neutron transport equation with a general albedo boundary condition. The proof is constructive in the sense that we build a sequence that converges to the solution of the problem by iterating on the albedo term. Both nonhomogeneous and albedo boundary conditions are studied.","PeriodicalId":49420,"journal":{"name":"Transport Theory and Statistical Physics","volume":"40 1","pages":"69 - 84"},"PeriodicalIF":0.0000,"publicationDate":"2011-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/00411450.2011.596607","citationCount":"6","resultStr":"{\"title\":\"Existence Result for the Kinetic Neutron Transport Problem with a General Albedo Boundary Condition\",\"authors\":\"R. Sánchez, L. Bourhrara\",\"doi\":\"10.1080/00411450.2011.596607\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present an existence result for the kinetic neutron transport equation with a general albedo boundary condition. The proof is constructive in the sense that we build a sequence that converges to the solution of the problem by iterating on the albedo term. Both nonhomogeneous and albedo boundary conditions are studied.\",\"PeriodicalId\":49420,\"journal\":{\"name\":\"Transport Theory and Statistical Physics\",\"volume\":\"40 1\",\"pages\":\"69 - 84\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/00411450.2011.596607\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transport Theory and Statistical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00411450.2011.596607\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transport Theory and Statistical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00411450.2011.596607","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 6

摘要

给出了具有一般反照率边界条件的中子输运方程的一个存在性结果。这个证明是建设性的，因为我们通过迭代反照率项建立了一个收敛于问题解的序列。研究了非均匀边界条件和反照率边界条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Existence Result for the Kinetic Neutron Transport Problem with a General Albedo Boundary Condition

We present an existence result for the kinetic neutron transport equation with a general albedo boundary condition. The proof is constructive in the sense that we build a sequence that converges to the solution of the problem by iterating on the albedo term. Both nonhomogeneous and albedo boundary conditions are studied.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Transport Theory and Statistical Physics 物理-物理：数学物理

自引率

0.00%

发文量

审稿时长

>12 weeks