{"title":"凸有界区域上Vlasov-Poisson系统的渐近生长界","authors":"A. Albukhuttar","doi":"10.12988/NADE.2016.5933","DOIUrl":null,"url":null,"abstract":"We consider smooth compactly supported solutions to the classical threedimensional Vlasov-Poisson system in convex bounded domains. In the plasma physics case, we show that the size of the velocity support of the distribution function grows at most t 16 21 + for any > 0.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Asymptotic growth bounds for the Vlasov-Poisson system in convex bounded domains\",\"authors\":\"A. Albukhuttar\",\"doi\":\"10.12988/NADE.2016.5933\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider smooth compactly supported solutions to the classical threedimensional Vlasov-Poisson system in convex bounded domains. In the plasma physics case, we show that the size of the velocity support of the distribution function grows at most t 16 21 + for any > 0.\",\"PeriodicalId\":315586,\"journal\":{\"name\":\"Nonlinear Analysis and Differential Equations\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/NADE.2016.5933\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2016.5933","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Asymptotic growth bounds for the Vlasov-Poisson system in convex bounded domains
We consider smooth compactly supported solutions to the classical threedimensional Vlasov-Poisson system in convex bounded domains. In the plasma physics case, we show that the size of the velocity support of the distribution function grows at most t 16 21 + for any > 0.