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

スポンサーリンク

概要

• 論文の詳細を見る

• We consider a system of partial differential equations for the densities of components of one dimensional incompressible fluid mixture whose motion is driven by evaporation. We prove existence and give explicit form of unique global classical non-negative solution to initial value problem for the system. The solution is known to be an infinite particle limit of stochastic ranking processes, which is a simple stochastic model of time evolutions of Amazon Sales Ranks. As a practical application, we collected data from the web and performed statistical fits to our formula. The results suggest that the system of equations and solutions, though very simple, may have applications in the analysis of online rankings.

著者

• Hattori Kumiko

  Tokyo Metropolitan University

• Hattori Tetsuya

  Keio University

関連論文

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

スポンサーリンク