2003 Fiscal Year Final Research Report Summary
Real analytic approach to the stability theory of nonlinear evolution equations
| Project/Area Number |
12440045
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Waseda University |
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Principal Investigator |
SHIBATA Yoshihiro Waseda University, School of Science and Engineering, Professor, 理工学部, 教授 (50114088)
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| Co-Investigator(Kenkyū-buntansha) |
YAMAZAKI Masao Waseda University, School of Science and Engineering, Professor, 理工学部, 教授 (20174659)
KAJI Hajime Waseda University, School of Science and Engineering, Professor, 理工学部, 教授 (70194727)
TANAKA Kazunaga Waseda University, School of Science and Engineering, Professor, 理工学部, 教授 (20188288)
KOBAYASHI Takayuki Saga University, The department of Sciences, Assistant Professor, 理学部, 助教授 (50272133)
SHIMIZU Senjo Shizuoka University, The department of Engineering, Assistant Professor, 工学部, 助教授 (50273165)
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| Project Period (FY) |
2000 – 2003
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| Keywords | Oseen equation / Flew in the infinite layer / Stokes operator / Stability of the flew / Resolvent problem / Incompressible viscous fluid flow / Compressible viscous fluid flow / Free boundary value problem |
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| Research Abstract |
1.Stability of the Oseen flow in the n-dimensional exterior domain (n>2).
2.Stability of the Couette flow and the Poiseuille flow in the infinite layer.
3.Rate of convergence of the non-stationary flow to the stationary flow of compressible viscous fluid.
4.Resolvent estimate of solutions to the Stokes equation with Neumann boundary condition.
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