A ONE DIMENSIONAL FREE BOUNDARY PROBLEM FOR ADSORPTION PHENOMENA

被引：5

作者：

Sato, Naoki ^{[1
]}

Aiki, Toyohiko ^{[2
]}

Murase, Yusuke ^{[3
]}

Shirakawa, Ken ^{[4
]}

机构：

[1] Nagaoka Natl Coll Technol, Div Gen Educ, Nagaoka, Niigata 9408532, Japan

[2] Japan Womens Univ, Fac Sci, Dept Math & Phys Sci, Bunkyo Ku, Tokyo 1128681, Japan

[3] Meijo Univ, Fac Sci & Technol, Dept Math, Tenpaku Ku, Nagoya, Aichi 4688502, Japan

[4] Chiba Univ, Fac Educ, Dept Math, Chiba 2638522, Japan

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2014年 / 9卷 / 04期

关键词：

Free boundary problem; drying and wetting process; CONCRETE CARBONATION; LAW;

D O I：

10.3934/nhm.2014.9.655

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we deal with a one-dimensional free boundary problem, which is a mathematical model for an adsorption phenomena appearing in concrete carbonation process. This model was proposed in line of previous studies of three dimensional concrete carbonation process. The main result in this paper is concerned with the existence and uniqueness of a time-local solution to the free boundary problem. This result will be obtained by means of the abstract theory of nonlinear evolution equations and Banach's fixed point theorem, and especially, the maximum principle applied to our problem will play a very important role to obtain the uniform estimate to approximate solutions.

引用

页码：655 / 668

页数：14

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