{"title":"可压缩分层流体动力学中的初边值问题","authors":"S.A. Gabov, A.T. Sundukova","doi":"10.1016/0041-5553(90)90080-C","DOIUrl":null,"url":null,"abstract":"<div><p>An initial-boundary value problem is considered which describes the linear vibrations of a compressible stratified fluid with a free surface in a bounded vessel. A generalized system of equations is considered for which a theorem concerned with the existence and uniqueness of the solution is proved.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 2","pages":"Pages 79-85"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90080-C","citationCount":"0","resultStr":"{\"title\":\"On an initial-boundary value problem which arises in the dynamics of a compressible stratified fluid\",\"authors\":\"S.A. Gabov, A.T. Sundukova\",\"doi\":\"10.1016/0041-5553(90)90080-C\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>An initial-boundary value problem is considered which describes the linear vibrations of a compressible stratified fluid with a free surface in a bounded vessel. A generalized system of equations is considered for which a theorem concerned with the existence and uniqueness of the solution is proved.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 2\",\"pages\":\"Pages 79-85\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90080-C\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090080C\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090080C","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On an initial-boundary value problem which arises in the dynamics of a compressible stratified fluid
An initial-boundary value problem is considered which describes the linear vibrations of a compressible stratified fluid with a free surface in a bounded vessel. A generalized system of equations is considered for which a theorem concerned with the existence and uniqueness of the solution is proved.