2014 Fiscal Year Final Research Report
Matheamtical Analysis of conservation laws modeling fluids in porous media
| Project/Area Number |
22540238
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Osaka Electro-Communication University |
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Principal Investigator |
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| Research Collaborator |
CORLI Andrea Department of Mathematics, University of Ferrara, Italy, Associate professor
TREVISA Konstantina Department of Mathematics, University of Maryland, USA, Professor
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| Project Period (FY) |
2010-04-01 – 2015-03-31
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| Keywords | 偏微分方程式 / 双曲型保存則系 / 衝撃波 / エントロピー / 混合気体 |
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| Outline of Final Research Achievements |
The purpose of this study is to understand discontinuous solutions of partial differential equations that come from secondary recovery techniques: injecting water and gas (air or CO2 ) for the extraction of petroleum in a oil reservoir which is contained in porous rock formations. Based on these mathematical studies, global behavior of shock waves in mixed gas and ionized gas is studied, where the construction and study of entropy functions play a crucial role.
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| Free Research Field |
偏微分方程式論
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