2017 Fiscal Year Final Research Report
Research for the dissipative structure of the differential equations with relaxation and its application
Project/Area Number |
25800078
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Mathematical analysis
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Research Institution | Kobe University |
Principal Investigator |
Ueda Yoshihiro 神戸大学, 海事科学研究科, 准教授 (50534856)
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Project Period (FY) |
2013-04-01 – 2018-03-31
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Keywords | 偏微分方程式 / 安定性解析 / 双曲型方程式系 |
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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Free Research Field |
偏微分方程式論
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