Art

J-GLOBAL ID：201002250809987352   Reference number：10A0163743

Equation of Motion for Incompressible Mixed Fluid Driven by Evaporation and Its Application to Online Rankings

蒸発の駆動を受ける非圧縮性混合流体に対する運動方程式と,オンライン等級づけへの応用

Author (2)： HATTORI Kumiko (Tokyo Metropolitan Univ.) ,  HATTORI Tetsuya (Keio Univ.)
Material： Funkcialaj Ekvacioj. International Series  (Funkcialaj Ekvacioj)
Volume： 52  Issue： 3  Page： 301-319 (J-STAGE)  Publication year： 2009 
JST Material Number： L4931A  ISSN： 0532-8721  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *partial differential equation ,  nonlinear equation ,  *incompressible fluid ,  initial value problem ,  evaporation ,  data analysis ,  *grading(ranking) ,  existence ,  *stochastic model ,  online system ,  uniqueness
Semi thesaurus term： mixed flow ,  Pareto distribution

JST classification (3)： Mathematical physics  (BA03000W) ,  Fluid dynamics in general  (BC02010G) ,  Fluctuation phenomena,random process,Brownian motion,and transport process  (BA08020B)

Reference (7)：

• [1] Anderson, C., The Long Tail: Why the Future of Business Is Selling Less of More, Hyperion Books, 2006.
• [2] Brynjolfsson, E., Hu, Y. and Smith, M. D., Consumer surplus in the digital economy: Estimating the value of increased product variety at online booksellers, Management Science, 49 (2003), 1580-1596.
• [3] Chevalier, J. and Goolsbee, A., Measuring prices and price competition online: Amazon.com and BarnesandNoble.com, Quantitative Marketing and Economics, 1 (2003), 203-222.
• [4] Hattori, K. and Hattori, T., Existence of an infinite particle limit of stochastic ranking processes, Stochastic Process. Appl., 119 (2009), 966-979.
• [5] Hattori, K. and Hattori, T., Mathematical analysis of long tail economy using stochastic ranking processes, preprint, http://arxiv.org/abs/0804.0321

Terms in the title (7)： 蒸発 ,  非圧縮性 ,  混合流体 ,  運動方程式 ,  オンライン ,  等級づけ ,  応用