Chemical diffusion coefficient of oxygen in thoria based fuel with 3 and 8 weight % urania

2018 ◽  
Vol 512 ◽  
pp. 31-36
Author(s):  
Aaron D. Quastel ◽  
Catherine M. Thiriet
Keyword(s):  
Diffusion Coefficient ◽  
Chemical Diffusion ◽  
Chemical Diffusion Coefficient ◽  
Diffusion Coefficient Of Oxygen

scholarly journals Boundary layer analysis for a 2-D Keller-Segel model

2020 ◽  
Vol 18 (1) ◽  
pp. 1895-1914
Author(s):  
Linlin Meng ◽  
Wen-Qing Xu ◽  
Shu Wang
Keyword(s):  
Boundary Layer ◽  
Diffusion Coefficient ◽  
Approximate Solution ◽  
Chemical Diffusion ◽  
Singular Perturbation Theory ◽  
Energy Estimates ◽  
Chemical Diffusion Coefficient ◽  
Boundary Layer Problem ◽  
Classical Energy ◽  
Layer Analysis

Abstract We study the boundary layer problem of a Keller-Segel model in a domain of two space dimensions with vanishing chemical diffusion coefficient. By using the method of matched asymptotic expansions of singular perturbation theory, we construct an accurate approximate solution which incorporates the effects of boundary layers and then use the classical energy estimates to prove the structural stability of the approximate solution as the chemical diffusion coefficient tends to zero.

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