A Geometric Condition Implying an Energy Equality for Solutions of the 3D Navier–Stokes Equation
A Geometric Condition Implying an Energy Equality for Solutions of the 3D Navier–Stokes Equation
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DOI：
10.1007/s10884-008-9124-3
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发表时间：
2008-03
影响因子：
1.3
通讯作者：
R. Shvydkoy
中科院分区：
文献类型：
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作者：
R. Shvydkoy
我们证明，属于 L3L9/2 类和 ∇u 属于 L3L9/5 类的 3D Navier-Stokes 方程的每个弱解在时间上局部远离 1/2-Hölder 连续曲线都满足广义能量等式。特别是，每个这样的解决方案都是合适的。
We prove that every weak solutionuto the 3D Navier–Stokes equation that belongs to the classL3L9/2and ∇ubelongs toL3L9/5locally away from a 1/2-Hölder continuous curve in time satisfies the generalized energy equality. In particular every such solution is suitable.