Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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Outline of Final Research Achievements |
In this research, I succeeded to construct the new stability theory for the symmetric hyperbolic system with relaxation term. To this end, I first studied the physical models called the system of Plate equations and Euler-Maxwell system. These models have the weak dissipative structure and it is difficult to get the decay estimate for the solutions. Inspired by the argument for physical models, I introduced the artificial mathematical models to analyze the weak dissipative structure. Furthermore, I extended the classical stability condition for the symmetric hyperbolic system with relaxation and got the new dissipative structure which comes from the dissipative Bresse system.
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