Time decay estimates of solutions to a two-phase flow model in the whole space

Abstract

In this article, we aim to establish the optimal time decay rates of strong solutions to a two-phase flow model derived from a type of coupled fluid-kinetic equation. It is proved that the strong solutions converge to the given constant states with algebraic time decay rates under some additional assumptions on the initial data.

Keywords

• two-phase flow model
• navier-stokes equations
• negative sobolev space
• decay rate
• 35q35
• 76n10
• 35b40