| Project/Area Number |
24840029
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Shimane University |
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Principal Investigator |
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| Project Period (FY) |
2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 偏微分方程式論 / 流体力学 |
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| Research Abstract |
As for partial differential equations arising from fluid mechanics, I studied explicit solutions satisfying the Burgers vortex in a compressible viscous fluid.Since there was no mathematical result concerning the Burgers vortex in a compressible viscous fluid, I found the explicit solutions while paying attention to the existence or nonexistence of barotropicity. The achievement is to clarify that the nonbarotropic case is natural under the study of the Burgers vortex in a compressible viscous fluid.Based on this achievement, I am trying to study mathematical analysis of the Navier -Stokes equations for compressible viscous nonbarotropic fluids.
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