Global Zero-relaxation Limit Problem of the Electro-diffusion Model Arising in Electro-Hydrodynamics |
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作者姓名: | Ming-hua YANG Si-ming HUANG Jin-yi SUN |
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作者单位: | 1. Department of Mathematics, Jiangxi University of Finance and Economics;2. School of Public Administration, Guangdong University of Foreign Studies;3. College of Mathematics and Statistics, Northwest Normal University |
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基金项目: | partial supported by the National Natural Science Foundation of China (Grant Nos. 12161041, 11801236);;Training Program for academic and technical leaders of major disciplines in Jiangxi Province (Grant No.20204BCJL23057);;Natural Science Foundation of Jiangxi Province (Grant Nos.20212BAB201008 and 20232BAB201013);;partial supported by the National Natural Science Foundation of China (Grant Nos. 12001435, 12361050); |
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摘 要: | In this paper,we study a global zero-relaxation limit problem of the electro-diffusion model arising in electro-hydrodynamics which is the coupled Planck-Nernst-Poisson and Navier-Stokes equations.That is,the paper deals with a singular limit problem of■ involving with a positive,large parameter ■.The present work show a case that(u■,n■,c■) stabilizes to(u∞,n∞,c∞):=(u,n,c) uniformly with respect to the time variable as ■→+∞ with r...
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