2014 Fiscal Year Final Research Report
Constructing mathematical model for brewing process of Japanese Sake and its analysis with techniques of quasi-variational inequality
| Project/Area Number |
23740135
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Global analysis
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| Research Institution | Meijo University |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Keywords | 非線形解析 / 日本酒醸造過程 / 偏微分方程式 / 仮似変分不等式 |
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| Outline of Final Research Achievements |
We constructed a mathematical model for brewing process of Japanese Sake by using partial differential equations with focusing thermal reactions, chemical reactions, and biological phenomena. Our model includes some factors that depends upon each fermenting stages (there are 5 fermenting stages). Moreover, our model corresponds to the mathematical problem so-called "quasi-variational inequality". Throughout our study, we got the existence of solutions for our mathematical model of 1st fermenting stage (the stage of culturing Koji). Furthermore, we analyze some relating mathematical problems, and proved solvability results for a certain abstract evolution equation of quasi-variational inequality type.
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| Free Research Field |
非線形解析
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