Regularity of the 3D Navier–Stokes equations with viewpoint of 2D flow |
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| Authors: | Hyeong-Ohk Bae |
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| Institution: | Department of Financial Engineering, Ajou University, 206, World cup-ro, Yeogtong-gu, Suwon-si, Gyeonggi-do, 443-749, Republic of Korea |
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| Abstract: | The regularity of 2D Navier–Stokes flow is well known. In this article we study the relationship of 3D and 2D flow, and the regularity of the 3D Naiver–Stokes equations with viewpoint of 2D equations. We consider the problem in the Cartesian and in the cylindrical coordinates. |
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| Keywords: | primary 35Q30 secondary 76D03 76D05 Regularity 3D flow 2D flow Axisymmetric flow Swirl |
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