{"title":"具有软势的两种Vlasov-Poisson-Boltzmann系统稀疏波的稳定性","authors":"Dongcheng Yang, Hongjun Yu","doi":"10.4310/maa.2022.v29.n1.a4","DOIUrl":null,"url":null,"abstract":"In this paper, we construct the global solutions near a local Maxwellian for the onedimensional two-species Vlasov-Poisson-Boltzmann system with soft potentials. The macroscopic components of this local Maxwellian are the approximate rarefaction wave solutions to the associated one-dimensional compressible Euler system. Then we prove the stability of the rarefaction waves for the two-species Vlasov-Poisson-Boltzmann system in the weighted function space. Moreover, some time decay rates of the disparity between two species and the electric field are obtained.","PeriodicalId":18467,"journal":{"name":"Methods and applications of analysis","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability of rarefaction waves for the two-species Vlasov–Poisson–Boltzmann system with soft potentials\",\"authors\":\"Dongcheng Yang, Hongjun Yu\",\"doi\":\"10.4310/maa.2022.v29.n1.a4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we construct the global solutions near a local Maxwellian for the onedimensional two-species Vlasov-Poisson-Boltzmann system with soft potentials. The macroscopic components of this local Maxwellian are the approximate rarefaction wave solutions to the associated one-dimensional compressible Euler system. Then we prove the stability of the rarefaction waves for the two-species Vlasov-Poisson-Boltzmann system in the weighted function space. Moreover, some time decay rates of the disparity between two species and the electric field are obtained.\",\"PeriodicalId\":18467,\"journal\":{\"name\":\"Methods and applications of analysis\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Methods and applications of analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4310/maa.2022.v29.n1.a4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Methods and applications of analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4310/maa.2022.v29.n1.a4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Stability of rarefaction waves for the two-species Vlasov–Poisson–Boltzmann system with soft potentials
In this paper, we construct the global solutions near a local Maxwellian for the onedimensional two-species Vlasov-Poisson-Boltzmann system with soft potentials. The macroscopic components of this local Maxwellian are the approximate rarefaction wave solutions to the associated one-dimensional compressible Euler system. Then we prove the stability of the rarefaction waves for the two-species Vlasov-Poisson-Boltzmann system in the weighted function space. Moreover, some time decay rates of the disparity between two species and the electric field are obtained.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
