| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
|
|---|
| Outline of Final Research Achievements |
In a study for the system of nonlinear partial differential equations describing concrete carbonation process and dynamics of shape memory alloy material it was not easy to obtain the well posedness of the system because of the difficulty of mathematical treatment for hysteresis. In this research project by applying the classical theory for nonlinear partial differential equations we can show the uniqueness of a solution to the initial boundary value problem for the system. Also, we obtain the well posedness and a result on large time behavior of a solution to a mathematical multi-scale model describing a concrete corrosion process. We have an idea to deal with hysteresis by using multi-scale modeling motivated by the study for concrete corrosion problem so that we have proposed a free boundary problem as a mathematical model for adsorption phenomenon, and proved the global existence in time and the uniqueness of a solution to the problem.
|
