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On uniqueness of weak solutions of the incompressible Navier-Stokes equations in 3-dimensional case

2018/02/21 by Kamal N. Soltanov, Soltanov, Kamal N.
Engineering · Mathematics · #35D30 #35K61 #35Q30 #76N10 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Navier-Stokes equation solutions #Primary 35K55 #Secondary 76D03 #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1802.07787

openalex publication_date 2018/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we study the uniqueness of the weak solution of the incompressible Navier-Stokes Equation in the 3-dimensional case with use of different approach. Here the uniqueness of the obtained by Leray of the weak solution is proved in the case, when datums from spaces that are densely contained into spaces of datums for which was proved the existence of the weak solution. Moreover we investigate the solvability and uniqueness of the weak solutions of problems associated with investigation of the main problem

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