2017 Fiscal Year Final Research Report
Mathematical elucidation of compressible fluid dynamics
| Project/Area Number |
25400157
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Mathematical analysis
|
|---|
| Research Institution | Gifu University |
|---|
Principal Investigator |
TSUGE Naoki 岐阜大学, 教育学部, 准教授 (30449897)
|
|---|
| Research Collaborator |
MATSUMURA Akitaka 大阪大学, 情報学研究科, 名誉教授 (60115938)
|
|---|
| Project Period (FY) |
2013-04-01 – 2018-03-31
|
| Keywords | 偏微分方程式 / 圧縮性オイラー方程式 / 流体力学 / 解の存在 / 不変領域 |
|---|
| Outline of Final Research Achievements |
In this research, we are concerned with the following three subjects. First, we consider the equation, which represents the motion of gas in a nozzle and prove the global existence of a solution. Second, we consider the equation, which represents the gas with an outer force and prove the global existence of a solution. Third, we consider a scaler conservation law and prove the global existence of a solution.
|
| Free Research Field |
偏微分方程式
|
