Physics – Mathematical Physics
Scientific paper
2008-04-02
Funkcialaj Ekvacioj 52 (2009) 301-319
Physics
Mathematical Physics
13 pages, LaTeX; Main theorem refined (uniqueness proved)
Scientific paper
We give a unique classical solution to initial value problem for a system of partial differential equations for the densities of components of one dimensional incompressible fluid mixture driven by evaporation. Motivated by the known fact that the solution appears as an infinite particle limit of stochastic ranking processes, which is a simple stochastic model of time evolutions of e.g., Amazon Sales Ranks, we collected data from the web and performed statistical fits to our formula. The results suggest that the fluid equations and solutions may have an application in the analysis of online rankings.
Hattori Kumiko
Hattori Tetsuya
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