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2014 Fiscal Year Final Research Report

The development of the unified analytical method to hydrodynamical and electromagnetic phenomena based on decomposition theorems

Research Project

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Project/Area Number 24540173
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Basic analysis
Research InstitutionNara Women's University

Principal Investigator

YANAGISAWA Taku  奈良女子大学, 自然科学系, 教授 (30192389)

Project Period (FY) 2012-04-01 – 2015-03-31
Keywords分解定理 / 境界値問題 / 流体力学 / 電磁気学 / MHD方程式
Outline of Final Research Achievements

Applying our analytical method based on decomposition theorems to the stationary boundary value problems of MHD equations, we investigate the effectiveness or the subjects to be examined of our analytical method. In fact, we succeed in proving the existence of the weak solutions with inhomogeneous boundary data. In the process of the proof, we clarify some points which reflect the peculiar mathematical structures of MHD equations. We can also obtain some results suggesting that our analytical method based on decomposition theorems might be effective even in the stability analysis.

Free Research Field

偏微分方程式論

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Published: 2016-06-03  

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