{"title":"热导率高且自由边界速度系数小时相场系统的渐近解","authors":"V. Rudnev","doi":"10.1109/DD.2013.6712815","DOIUrl":null,"url":null,"abstract":"We consider the phase field system in the case of a stationary solution. We construct the corresponding weak asymptotic solution which becomes the classical solution of the Stefan-Gibbs-Thomson problem in the case of dynamics of the free boundary. Using numerical simulation we verify correctness of asymptotic solution constructed.","PeriodicalId":340014,"journal":{"name":"Proceedings of the International Conference Days on Diffraction 2013","volume":"41 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Asymptotic solution of the phase field system in the case of the high thermal conductivity and the small coefficient of the velocity of the free boundary\",\"authors\":\"V. Rudnev\",\"doi\":\"10.1109/DD.2013.6712815\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the phase field system in the case of a stationary solution. We construct the corresponding weak asymptotic solution which becomes the classical solution of the Stefan-Gibbs-Thomson problem in the case of dynamics of the free boundary. Using numerical simulation we verify correctness of asymptotic solution constructed.\",\"PeriodicalId\":340014,\"journal\":{\"name\":\"Proceedings of the International Conference Days on Diffraction 2013\",\"volume\":\"41 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-05-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the International Conference Days on Diffraction 2013\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD.2013.6712815\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the International Conference Days on Diffraction 2013","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2013.6712815","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Asymptotic solution of the phase field system in the case of the high thermal conductivity and the small coefficient of the velocity of the free boundary
We consider the phase field system in the case of a stationary solution. We construct the corresponding weak asymptotic solution which becomes the classical solution of the Stefan-Gibbs-Thomson problem in the case of dynamics of the free boundary. Using numerical simulation we verify correctness of asymptotic solution constructed.
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