2015 Fiscal Year Final Research Report
Structure of solutions to the systems of nonlinear hyperbolic partial differential equations arising in fluid dynamics and conservation laws for phase transition dynamics
| Project/Area Number |
23540250
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | International Christian University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
ISOZAKI Hiroshi 筑波大学, 数理物質科学研究科, 教授 (90111913)
ASAKURA Fumioki 大阪電気通信大学, 工学部, 教授 (20140238)
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| Project Period (FY) |
2011-04-28 – 2016-03-31
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| Keywords | 超局所解析 / 流体力学 / 双曲型保存則 / 特殊相対論 / オイラー方程式 / ボルツマン方程式 / 多重双曲型 / エントロピー |
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| Outline of Final Research Achievements |
We study the existence of solutions to the Riemann problem with small data for self-similar boundary layers to the hyperbolic conservation equation with viscosity and capillarity. And we also study the time-global existence of solutions to the multi-dimensional parabolic-elliptic model for chemical aggression.
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| Free Research Field |
非線形偏微分方程式系
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