{"title":"不确定均匀倍增介质中的中子热化问题","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":null,"pages":null},"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":"{\"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\":null,\"pages\":null},\"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}","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}
On the neutron thermalization in an in-definite homogeneous multiplicative medium
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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