{"title":"一个与navier-stokes问题相关的反例","authors":"A. G. Ramm","doi":"10.17654/0972096023012","DOIUrl":null,"url":null,"abstract":"It is proved that the solution to the Navier-Stokes problem (NSP) in the whole space does not exist if the smooth rapidly decaying data are not equal to zero identically. This solves the millennium problem concerning the NSP. It also proves that the NSP is contradictory.","PeriodicalId":89368,"journal":{"name":"Far east journal of applied mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A COUNTEREXAMPLE RELATED TO THE NAVIER-STOKES PROBLEM\",\"authors\":\"A. G. Ramm\",\"doi\":\"10.17654/0972096023012\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is proved that the solution to the Navier-Stokes problem (NSP) in the whole space does not exist if the smooth rapidly decaying data are not equal to zero identically. This solves the millennium problem concerning the NSP. It also proves that the NSP is contradictory.\",\"PeriodicalId\":89368,\"journal\":{\"name\":\"Far east journal of applied mathematics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Far east journal of applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17654/0972096023012\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Far east journal of applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17654/0972096023012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A COUNTEREXAMPLE RELATED TO THE NAVIER-STOKES PROBLEM
It is proved that the solution to the Navier-Stokes problem (NSP) in the whole space does not exist if the smooth rapidly decaying data are not equal to zero identically. This solves the millennium problem concerning the NSP. It also proves that the NSP is contradictory.
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