| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
We proved the uniqueness of bounded continuous L_{3,weak}-solutions on the whole time axis to the Navier-Stokes equations in 3-dimensional unbounded domains. Here, L_{3,weak} denotes the weak L_3 space. Thus far, uniqueness of such solutions to the Navier-Stokes equations in unbounded domain, roughly speaking, is known only for a small solution in BC(R;L_{3,weak}) within the class of solutions which have sufficiently small BC(R; L_{3,weak})-norm. In this study, we established another type of uniqueness theorem for solutions in BC(R;L_{3,weak}) using a smallness condition for one solution and a precompact range condition for the other one.
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