| Abstract: |
| In cold regions, buildings that are exposed to extremely low temperatures undergo freezing and build microscopic ice lenses that lead to the mechanical damage of the material. In this talk, we consider a free boundary problem as a mathematical model describing swelling of water to understand the ice lenses formation growing inside of porous materials. Our problem is posed on a halfine with a moving boundary at one of the ends, and the moving boundary conditions encode the swelling mechanism, while a diffusion equation provides water content for the swelling to take place. In this talk, we discuss the global existence and uniqueness of a solution to our problem and give the result of the large time behavior of a solution as time goes to infinity. |
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