Display Abstract

Title Large time behavior of solutions for Double-diffusive convection systems based on Brinkman-Forchheimer equation

Name Shun Uchida
Country Japan
Email u-shun@suou.waseda.jp
Co-Author(s) Mitsuharu \^{O}tani
Submit Time 2014-03-24 05:41:59
Session
Special Session 86: Nonlinear evolution equations and related topics
Contents
Double-diffusive convection is one of fluid phenomena reflecting the interaction between temperature and concentration of solute. In particular, the model of double-diffusive convection in a porous medium has a large area of application, for instance, the behavior of polluted water in the soil. In order to describe the behavior of the fluid velocity under these situations, it is appropriate to apply so called Brinkman-Forchheimer equation, which is derived from a modified Darcy's law. In previous researches, we have obtained some result for global solvability of double-diffusive convection systems. In this talk, we consider the large time behavior of those solutions.