ON THE ENERGY EQUALITY FOR WEAK SOLUTIONS OF THE NAVIER-STOKES EQUATIONS

N. V.Giang; D. Q.Khai; N. M.Tri

doi:10.17654/0974324322035

N. V.Giang Faculty of Basic Sciences, Thai Nguyen University of Technology, 666, 3/2 Street, Tich Luong, Thai Nguyen, Vietnam
D. Q.Khai Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, 10307 Cau Giay, Hanoi, Vietnam
N. M.Tri Institute of Mathematics, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, 10307 Cau Giay, Hanoi, Vietnam

Article ID: 2564

DOI: https://doi.org/10.17654/0974324322035

Keywords: Navier-Stokes equations; energy equality; energy inequality; weak solution

Abstract

In this paper, we first introduce the concept of absolutely continuous functions of order $s(0

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