Analysis of the Stokes operator with some boundary conditions of Neumann type and its application
Project/Area Number |
22740084
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Basic analysis
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Research Institution | University of Toyama |
Principal Investigator |
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Project Period (FY) |
2010 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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Keywords | Stokes作用素 / Navier-Stokes方程式 / MHD方程式 / 安定性 / 処罰法 / 数学的正当化 / 解析半群 / ナヴィエ・ストークス方程式 / 誤差評価 / 解析学 / 非線形偏微分方程式 / ナヴィエ・ストーク方程式 / 粘性流体 |
Research Abstract |
We studied the Navier-Stokes equations and MHD equations arising from fluid mechanics. On the MHD equations, we obtained a stability theorem of exponential type in three-dimensional bounded and simply connected domain. We also studied validity of the penalty method for the Navier-Stokes equations in the whole space. For such a problem, we obtained a mathematical justification result by method of analytic semigroup theory
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Report
(4 results)
Research Products
(14 results)