Kota Kumazaki
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Kota Kumazaki has a total of 1 co-authors. Here are the top co-authors by number of shared publications:
- Toyohiko Aiki
Japan Womens Univ, Fac Sci, Dept Math, Tokyo 1128681, Japan
1 shared publication
Latest Publications
- Open Access
- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 9 (4) , 683-707
Uniqueness of solutions to a mathematical model describing moisture transport in concrete materials
When dealing with concrete materials it is always a big issue how to deal with the moisture transport. Here, we consider a mathematical model for moisture transport, which is given as a system consisting of the diffusion equation for moisture and of the ordinary differential equation which describes a hysteresis operator. In [3] we already proved the existence of a time global solution of an initial boundary value problem of this system, however, the uniqueness is obtained only for one dimensional domains. The main purpose of this paper is to establish the uniqueness of a solution of our problem in three dimensional domains under the assumption of the smooth boundary and initial data.
- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 9 (4) , 683-707
Open AccessUniqueness of solutions to a mathematical model describing moisture transport in concrete materials
When dealing with concrete materials it is always a big issue how to deal with the moisture transport. Here, we consider a mathematical model for moisture transport, which is given as a system consisting of the diffusion equation for moisture and of the ordinary differential equation which describes a hysteresis operator. In [3] we already proved the existence of a time global solution of an initial boundary value problem of this system, however, the uniqueness is obtained only for one dimensional domains. The main purpose of this paper is to establish the uniqueness of a solution of our problem in three dimensional domains under the assumption of the smooth boundary and initial data.
- Open Access
- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems - S
- Vol. 7 (1) , 113-125
A mathematical model of carbon dioxide transport in concrete carbonation process
In this paper we prove the existence of a solution for a mathematical model of carbon dioxide transport in concrete carbonation process. This model is a parabolic type equation with a nonlinear perturbation such that a coefficient of the time derivative contains a non-local term depending on the unknown function itself.
- 1 January 2014
- Published by American Institute of Mathematical Sciences (AIMS) in Discrete and Continuous Dynamical Systems - S
- Vol. 7 (1) , 113-125
Open AccessA mathematical model of carbon dioxide transport in concrete carbonation process
In this paper we prove the existence of a solution for a mathematical model of carbon dioxide transport in concrete carbonation process. This model is a parabolic type equation with a nonlinear perturbation such that a coefficient of the time derivative contains a non-local term depending on the unknown function itself.