LIQUID DROPS SLIDING DOWN AN INCLINED PLANE

被引：10

作者：

Kim, Inwon ^{[1
]}

Mellet, Antoine ^{[2
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 366卷 / 11期

关键词：

MOTION; MODEL; HOMOGENIZATION;

D O I：

10.1090/S0002-9947-2014-06236-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a one-dimensional model describing the motion of liquid drops sliding down an inclined plane (the so-called quasi-static approximation model). We prove existence and uniqueness of a solution and investigate its long-time behavior for both homogeneous and inhomogeneous media (i.e. constant and non-constant contact angle). We also obtain some homogenization results.

引用

页码：6119 / 6150

页数：32

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