| Budget Amount *help |
¥17,290,000 (Direct Cost: ¥13,300,000、Indirect Cost: ¥3,990,000)
Fiscal Year 2021: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2019: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2018: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
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| Outline of Final Research Achievements |
We studied various mathematical models which are formulated as systems of nonlinear partial differential equations in the fields of fluid mechanics, elasto-dynamics and plasma physics. We investigated the nonlinear structure based on the convexity of the entropy and the dissipative structure of the systems, and by using a rigorous method of analysis, we proved the asymptotic stability of solutions. Also we studied the corresponding nonlinear difference problem obtained as a discretization of the model from the viewpoint of conservation law and entropy dissipation, and proved the stability structure.
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