Naoki Sato
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Naoki Sato has a total of 6 co-authors. Here are the top co-authors by number of shared publications:
Japan Women’s University
1 shared publication- Ken Shirakawa1 shared publication
National Institute of Technology
1 shared publication- Toyohiko Aiki
Japan Womens Univ, Fac Sci, Dept Math, Tokyo 1128681, Japan
1 shared publication - Toyohiko Aiki
Department of Mathematics Physics and Computer Science Faculty of Science Japan Women's University 2-8-1 Mejirodai Bunkyo-ku 112-8681 Tokyo Japan
1 shared publication - Yusuke Murase1 shared publication
Latest Publications
- Open Access
- 1 January 2018
- Published by Irkutsk State University in The Bulletin of Irkutsk State University. Series Mathematics
- Vol. 25, 3-18
Existence of periodic solution to one dimensional free boundary problems for adsorption phenomena
In this paper we consider a drying and wetting process in porous medium to create a mathematical model for concrete carbonation. The process is assumed to be characterized by the growth of the air zone and a diffusion of moisture in the air zone. Under the assumption we proposed a one-dimensional free boundary problem describing adsorption phenomena in a porous medium. The free boundary problem it to find a curve representing the air zone and the relative humidity of the air zone. For the problem we also established existence, uniqueness and a large time behavior of solutions. Here, by improving the method for uniform estimates we can show the existence of a periodic solution of the problem. Also, the extension method is applied in the proof. This idea is quite important and new since the value of the humidity on the free boundary is unknown.
- 1 January 2018
- Published by Irkutsk State University in The Bulletin of Irkutsk State University. Series Mathematics
- Vol. 25, 3-18
Open AccessExistence of periodic solution to one dimensional free boundary problems for adsorption phenomena
In this paper we consider a drying and wetting process in porous medium to create a mathematical model for concrete carbonation. The process is assumed to be characterized by the growth of the air zone and a diffusion of moisture in the air zone. Under the assumption we proposed a one-dimensional free boundary problem describing adsorption phenomena in a porous medium. The free boundary problem it to find a curve representing the air zone and the relative humidity of the air zone. For the problem we also established existence, uniqueness and a large time behavior of solutions. Here, by improving the method for uniform estimates we can show the existence of a periodic solution of the problem. Also, the extension method is applied in the proof. This idea is quite important and new since the value of the humidity on the free boundary is unknown.
- Open Access
- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 9 (4) , 655-668
A one dimensional free boundary problem for adsorption phenomena
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.
- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 9 (4) , 655-668
Open AccessA one dimensional free boundary problem for adsorption phenomena
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.