三维Navier-Stokes流体中动能与涡量爆破的关系
Connection Between Kinetic Energy And Vorticity Blow-up in 3-D Navier-Stokes Fluid
摘要：
本文提出并证明了三维Navier-Stokes流体中动能光滑性与涡量光滑性之间的关系定理。在给定速度和涡量边界条件后，涡量的平方欧几里德范数与动能有直接关系。作为直接结果，它们的平滑度密切相关。
英文摘要：
In this paper the author formulates and proves a theorem that relates smoothness of kinetic energy and smoothness of vorticity in a 3-D Navier-Stokes fluid. Setting velocity and vorticity boundary conditions, a direct relation arises between kinetic energy and the squared Euclidean norm of the vorticity. As a direct result, their smoothness is closely related.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
