On the Energy Equality for Weak Solutions of the 3D Navier-Stokes Equations
On the Energy Equality for Weak Solutions of the 3D Navier-Stokes Equations
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DOI：
10.1007/978-3-642-04068-9_10
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发表时间：
2007-04
期刊：
影响因子：
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通讯作者：
A. Cheskidov;Susan Friedlander;R. Shvydkoy
中科院分区：
文献类型：
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作者：
A. Cheskidov;Susan Friedlander;R. Shvydkoy
证明了泛函类L3([0，T)；D(A5/12))中N-S方程弱解的能量等式成立，其中D(A_5/12)是S_(5/12)算子的分数次幂区域。
We prove that the energy equality holds for weak solutions of the Navier-Stokes equations in the functional classL3([0,T);D(A5/12)), whereD(A5/12) is the domain of the fractional power of the Stokes operator.