| Project/Area Number |
11640211
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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 | Hokkaido Information University |
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Principal Investigator |
MATSUI Sin'ya Hokkaido Information University, Faculty of Business Administration and Information Science, Associated Professor, 経営情報学部, 助教授 (50219367)
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| Co-Investigator(Kenkyū-buntansha) |
YANAGISAWA Taku Nara Women's University, Faculty of Science, Associated Professor, 理学部, 助教授 (30192389)
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| Project Period (FY) |
1999 – 2001
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| Project Status |
Completed (Fiscal Year 2001)
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| Budget Amount *help |
¥3,700,000 (Direct Cost: ¥3,700,000)
Fiscal Year 2001: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2000: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1999: ¥1,500,000 (Direct Cost: ¥1,500,000)
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| Keywords | Navier-Stokes equations / Plandtl equations / Boundary Layer / Zero Viscosity Limit / Blasius equation / Prandtl方程式 / 粘性消滅問題 / 遅れを持った非線形常微分方程式 / 非定常境界層方程式 |
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| Research Abstract |
In this project I researched jointly with Professor Yanagisawa, Professor Giga, Professor Ishimura and others. The papers which we published are stated in References. In these papers we studied the Navier-Stokes equations in the whole space or in the half space and studied zero viscosity limit of the compressible viscous fluid in the half plane. The pre-print papers are the followings :
(with Ishimura, N.) On blow-up solutions of the Blasius equation.
(with Giga, Y. and Sasayama, T.) Blow up rate for a semilinear heat equation with subcritical nonlinearity.
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