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QUASI-NEUTRAL LIMIT AND THE initial layer PROBLEM OF THE DRIFT-DIFFUSION MODEL

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Acta Mathematica Scientia 2020年第4期40卷 1152-1170页

作者： Shu WANG Limin JIANG School of Mathematics and Inform ation Sciences Guangzhou UniversityGuangzhou 510006China College of Applied Sciences Beijing University of TechnologyBeijing 100124China College of Science Zhongyuan University of TechnologyZhengzhou 450007China

In this article we study quasi-neutral limit and the initial layer problem of the drift-diffusion *** from others studies,we consider the physical case that the mobilities of the charges are different..The quasi-neutral limit with an initial layer structure is rigorously proved by using the weighted energy method coupled with multi-scaling asymptotic expansions.

关键词： initial layer weighted energy functional multiple scaling asymptotic expansions

On the initial layer and the Limit Behavior for Chemotaxis System with the Effect of Fluid in Fourier Space

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Acta Mathematicae Applicatae Sinica 2024年第4期40卷 1015-1024页

作者： Jian-xiang WAN Hai-ping ZHONG Department of Mathematics Jiangxi University of Finance and EconomicsNanchang 330032China School of Mathematics and Computer Yuzhang Normal UniversityNanchang 330103China

The paper deals with a Cauchy problem for the chemotaxis system with the effect of fluid■where d≥*** is known that for each∈>0 and all sufficiently small initial data(u_(0),n_(0),c_(0))belongs to certain Fourier space,the problem possesses a unique global solution(u^(∈),n^(∈),c^(∈))in Fourier *** present work asserts that these solutions stabilize to(u^(∞),n^(∞),c^(∞))as∈^(-1)→***,we show that c^(∈)(t)has the initial layer as∈^(-1)→*** one expects its limit behavior maybe give a new viewlook to understand the system.

关键词： chemotaxis system initial layer limit behavior Fourier space

Compositional and structural study of ash deposits spatially distributed in superheaters of a large biomass-fired CFB boiler

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Frontiers in Energy 2021年第2期15卷 449-459页

作者： Yishu XU Xiaowei LIU Jiuxin QI Tianpeng ZHANG Minghou XU Fangfang FEI Dingqing LI State Key Laboratory of Coal Combustion Huazhong University of Science and TechnologyWuhan 430074China School of Energy and Power Engineering Huazhong University of Science and TechnologyWuhan 430074China Guangdong Yudean Zhanjiang Biomass Power Plant Zhanjiang 524300China

Recognizing the nature and formation progress of the ash deposits is essential to resolve the deposition problem hindering the wide application of large-scale biomass-fired ***,the ash deposits in the superheaters of a 220 t/h biomass-fired CFB boiler were studied,including the platen(PS),the high-temperature(HTS),the upper and the lower low-temperature superheaters(LTS).The results showed that the deposits in the PSs and HTSs were thin(several millimeters)and compact,consisting of a yellow outer layer and snow-white inner layer near the tube *** deposits in the upper LTS appeared to be toughly sintered ceramic,while those in the lower LTS were composed of dispersive coarse ash particles with an unsintered *** characterization of the cross-section and the initial layers in the deposits revealed that the dominating compositions in both the PSs and the HTSs were Cl and K(approximately 70%)in the form of ***,the cross-section of the deposition in the upper LTS exhibited a unique lamellar structure with a major composition of Ca and *** contents of Ca and Si increased from approximately 10%to approximately 60%in the deposits from the high temperature surfaces to the low temperature *** was concluded that the vaporized mineral matter such as KCl played the most important role in the deposition progress in the PS and the *** addition,although the condensation of KCl in the LTSs also happened,the deposition of ash particles played a more important role.

关键词： ash deposition biomass combustion circulating fluidized bed initial layer structure analysis

Singularly perturbed solution to semilinear reaction diffusion equations with two parameters

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Applied Mathematics and Mechanics(English Edition) 2009年第5期30卷 653-658页

作者：莫嘉琪刘树德 Department of Mathematics Anhui Normal University Division of Computational Science E-Institute of Shanghai Universities at SJTU

A class of singularly perturbed initial boundary value problems for semilinear reaction diffusion equations with two parameters is considered, Under suitable conditions and using the theory of differential inequalitie... 详细信息

关键词： nonlinear two parameters singular perturbation reaction diffusion initial layer boundary layer

CONVERGENCE FROM AN ELECTROMAGNETIC FLUID SYSTEM TO THE FULL COMPRESSIBLE MHD EQUATIONS

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Acta Mathematica Scientia 2018年第3期38卷 805-818页

作者： Xin XU Institute of Applied Physics and Computational Mathematics Institute of Applied Physics and Computational Mathematics Beijing 100088China

We are concerned with the zero dielectric constant limit for the full electromagneto-fluid dynamics in this article. This singular limit is justified rigorously for global smooth solution for both well-prepared and ill-prepared initial data. The explicit convergence rate is also obtained by a elaborate energy estimate. Moreover, we show that for the wellprepared initial data, there is no initial layer, and the electric field always converges strongly to the limit function. While for the ill-prepared data case, there will be an initial layer near t = 0. The strong convergence results only hold outside the initial layer.

关键词： Zero dielectric constant limit full compressible magnetohydrodynamic equation initial layer

The Relaxation Limits of the Two-Fluid Compressible Euler-Maxwell Equations

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Journal of Partial Differential Equations 2018年第1期31卷 17-28页

作者： WANG Shu ZHENG Lin College of Applied Science Beijing University of Technology Beijing 100124 China.

In this paper we consider the relaxation limits of the two-fluid Euler-Maxwellsystems with initial layer. We construct an asymptotic expansion with initial layerfunctions and prove the convergence between the exact so... 详细信息

关键词： Euler-Maxwell equation relaxation limit initial layer asymptotic expansion.