{"title":"等压流体动力学方程中δ激波的相互作用","authors":"Yu Zhang, Yan Zhang","doi":"10.7153/DEA-2021-13-05","DOIUrl":null,"url":null,"abstract":". The interactions among delta shock waves, vacuum states and contact discontinuities for the equations of constant pressure fl uid dynamics are analyzed. By solving the Riemann problem with initial data of three piecewise constant states case by case, the global structures of solutions with four different con fi gurations are constructed. Furthermore, the numerical simula-tions completely coinciding with theoretical analysis are presented.","PeriodicalId":51863,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Interactions of delta shock waves for the equations of constant pressure fluid dynamics\",\"authors\":\"Yu Zhang, Yan Zhang\",\"doi\":\"10.7153/DEA-2021-13-05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The interactions among delta shock waves, vacuum states and contact discontinuities for the equations of constant pressure fl uid dynamics are analyzed. By solving the Riemann problem with initial data of three piecewise constant states case by case, the global structures of solutions with four different con fi gurations are constructed. Furthermore, the numerical simula-tions completely coinciding with theoretical analysis are presented.\",\"PeriodicalId\":51863,\"journal\":{\"name\":\"Differential Equations & Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Differential Equations & Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7153/DEA-2021-13-05\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/DEA-2021-13-05","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Interactions of delta shock waves for the equations of constant pressure fluid dynamics
. The interactions among delta shock waves, vacuum states and contact discontinuities for the equations of constant pressure fl uid dynamics are analyzed. By solving the Riemann problem with initial data of three piecewise constant states case by case, the global structures of solutions with four different con fi gurations are constructed. Furthermore, the numerical simula-tions completely coinciding with theoretical analysis are presented.