| Abstract: |
| In this talk, we propose a mathematical model for water swelling process in concrete materials. Concrete material has infinite microscopic holes, and water swelling occurs in each hole by the influence of moisture in the whole material. As the first investigation of this process, we focus on water swelling process in one hole. Our model is a free boundary problem consisting of a diffusion equation for water in a one microscopic hole and an ordinary differential equation describing the growth rate of the front of water region. In this talk, we discuss the existence and uniqueness of a solution for this problem. |
|