分形介质中广义传递方程的实现

R. Nigmatullin
{"title":"分形介质中广义传递方程的实现","authors":"R. Nigmatullin","doi":"10.1002/PSSB.2221330150","DOIUrl":null,"url":null,"abstract":"It is shown that in a medium representing an example of “Koch's tree”-type fractional structure the diffusion process is described by a generalized transfer equation in partial derivations. Such a structure can serve as a model of a porous medium where the diffusion process takes place. The geometry of an inhomogeneous medium can serve as the dicisive factor in the explanation of the “universal response” phenomenon. A range of frequencies is found where such “superslow” diffusion process can be observed. \n \n \n \n[Russian Text Ignored].","PeriodicalId":11087,"journal":{"name":"Day 1 Tue, January 11, 2022","volume":"16 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"1986-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"623","resultStr":"{\"title\":\"The Realization of the Generalized Transfer Equation in a Medium with Fractal Geometry\",\"authors\":\"R. Nigmatullin\",\"doi\":\"10.1002/PSSB.2221330150\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that in a medium representing an example of “Koch's tree”-type fractional structure the diffusion process is described by a generalized transfer equation in partial derivations. Such a structure can serve as a model of a porous medium where the diffusion process takes place. The geometry of an inhomogeneous medium can serve as the dicisive factor in the explanation of the “universal response” phenomenon. A range of frequencies is found where such “superslow” diffusion process can be observed. \\n \\n \\n \\n[Russian Text Ignored].\",\"PeriodicalId\":11087,\"journal\":{\"name\":\"Day 1 Tue, January 11, 2022\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1986-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"623\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Day 1 Tue, January 11, 2022\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1002/PSSB.2221330150\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Day 1 Tue, January 11, 2022","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/PSSB.2221330150","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 623

摘要

结果表明,在具有“科赫树”型分数阶结构的介质中,扩散过程可以用偏导数的广义传递方程来描述。这种结构可以作为扩散过程发生的多孔介质的模型。非均匀介质的几何结构可以作为解释“普遍响应”现象的决定性因素。在一定频率范围内,可以观察到这种“超慢”扩散过程。[忽略俄语文本]。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
The Realization of the Generalized Transfer Equation in a Medium with Fractal Geometry
It is shown that in a medium representing an example of “Koch's tree”-type fractional structure the diffusion process is described by a generalized transfer equation in partial derivations. Such a structure can serve as a model of a porous medium where the diffusion process takes place. The geometry of an inhomogeneous medium can serve as the dicisive factor in the explanation of the “universal response” phenomenon. A range of frequencies is found where such “superslow” diffusion process can be observed. [Russian Text Ignored].
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Foreign Language Motivation in Distance Learning A Study on Academic FL Online Activities During the COVID-19 Outbreak in Italy Why are Variation and English as a Lingua Franca Important Tools within the EFL Class? Writing in Italian L2 A Study on the Referential Movement and the Mechanisms of Cohesion in Descriptive and Narrative Texts The Functional Learning of Imperative Constructions in Portuguese as Foreign Language The Didactisation of Authentic Injunctive Materials Bibliography of Language Education in Italy 2021 Update
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1