Research for the dissipative structure of the differential equations with relaxation and its application
Project/Area Number |
25800078
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Multi-year Fund |
Research Field |
Mathematical analysis
|
Research Institution | Kobe University |
Principal Investigator |
Ueda Yoshihiro 神戸大学, 海事科学研究科, 准教授 (50534856)
|
Project Period (FY) |
2013-04-01 – 2018-03-31
|
Project Status |
Completed (Fiscal Year 2017)
|
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)
|
Keywords | 偏微分方程式 / 安定性解析 / 双曲型方程式系 / 可微分性の損失 / 偏微分方程式論 / 漸近安定性 / 非線形構造 / 定常問題 / 双曲型方程式 |
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.
|
Report
(6 results)
Research Products
(67 results)