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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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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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 / プラズマ気体 / サハの電離法則 / 非線形解析 / 流体力学 / 大域解 / 国際研究者交流 / 保存則 / 双曲系 / 多相流体 / Darcyの法則 / 気体力学 / 波面追跡法 |
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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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Report
(6 results)
Research Products
(10 results)
