{"title":"On the neutron thermalization in an in-definite homogeneous multiplicative medium","authors":"Franco Bogani","doi":"10.1016/0022-3107(73)90043-9","DOIUrl":null,"url":null,"abstract":"<div><p>Existence and uniqueness of the solution of the initial value problem for the Boltzmann transport equation in an indefinite homogeneous multiplicative medium are proved. Moreover, the existence of at least one real eigenvalue of the transport operator is displayed. Finally, the asymptotic behavior of the neutron density is indicated as t → + ∞.</p></div>","PeriodicalId":100811,"journal":{"name":"Journal of Nuclear Energy","volume":"27 2","pages":"Pages 101-113"},"PeriodicalIF":0.0000,"publicationDate":"1973-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0022-3107(73)90043-9","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nuclear Energy","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0022310773900439","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Existence and uniqueness of the solution of the initial value problem for the Boltzmann transport equation in an indefinite homogeneous multiplicative medium are proved. Moreover, the existence of at least one real eigenvalue of the transport operator is displayed. Finally, the asymptotic behavior of the neutron density is indicated as t → + ∞.
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