Displacement of oil by water in a single elastic capillary

Boundary value problems

OV Galtsev¹  RN Zimin²  AM Meirmanov³ 

[1] Belgorod National Research University, Belgorod, Russia;Kazakh-British Technical University, Almaty, Kazakhstan;Yachay Tech University, San Miguel de Urcuqui, Ecuador

关键词: free boundary problems;    Stokes and Lamé equations;    Muskat problem;   

DOI  :  10.1186/s13661-017-0814-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we consider the evolution of a free boundary separating two immiscible viscous fluids with different constant densities. The joint motion of liquids in the solid skeleton is described by Stokes equations coupled with Lamé equations, driven by the input pressure and the force of gravity. We prove the existence and uniqueness of classical solutions global in time, and we emphasize the study of the properties of the moving boundary separating the two fluids.

【 授权许可】

CC BY