2010 Fiscal Year Final Research Report
Analysis of singularity of solutions to the Navier-Stokes equations
| Project/Area Number |
21740106
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Kanagawa University |
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Principal Investigator |
SUZUKI Tomoyuki Kanagawa University, 工学部, 助手 (80452423)
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| Project Period (FY) |
2009 – 2010
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| Keywords | 偏微分方程式 |
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| Research Abstract |
We prove regularity of weak solutions to the Navier-Stokes equations under the conditions on the pressure. In particular, we exelude the possibility of blow-up in the case that the pressure is small enough in scaling invariant spaces based on Lorentz spaces. This result can be applied to MHD equations if the magnetic field in addition to the pressure belongs to the scaling invariant spaces based on the Lorentz spaces with small norms.
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Research Products
(8 results)
