{"title":"三维双极可压缩纳维-斯托克斯-泊松系统中的质量集中现象","authors":"","doi":"10.1007/s11868-023-00582-y","DOIUrl":null,"url":null,"abstract":"<h3>Abstract</h3> <p>In this paper, we investigate the blow-up mechanism to the bipolar compressible Navier–Stokes–Poisson system in three dimensions. It is essentially shown that the mass of the model will concentrate in some spatial points, even if the initial density contains vacuum states, provided that the smooth solution develops singularity in finite time.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mass concentration phenomenon in the 3D bipolar compressible Navier–Stokes–Poisson system\",\"authors\":\"\",\"doi\":\"10.1007/s11868-023-00582-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3>Abstract</h3> <p>In this paper, we investigate the blow-up mechanism to the bipolar compressible Navier–Stokes–Poisson system in three dimensions. It is essentially shown that the mass of the model will concentrate in some spatial points, even if the initial density contains vacuum states, provided that the smooth solution develops singularity in finite time.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-02-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s11868-023-00582-y\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s11868-023-00582-y","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mass concentration phenomenon in the 3D bipolar compressible Navier–Stokes–Poisson system
Abstract
In this paper, we investigate the blow-up mechanism to the bipolar compressible Navier–Stokes–Poisson system in three dimensions. It is essentially shown that the mass of the model will concentrate in some spatial points, even if the initial density contains vacuum states, provided that the smooth solution develops singularity in finite time.
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