The 3D Navier-Stokes equations: invariants, local and global solutions

DOI10.3390/axioms8020041zbMath1432.76083OpenAlexW2933035734MaRDI QIDQ2306307

Vladimir I. Semenov

Publication date: 23 March 2020

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms8020041

zbMATH Keywords

Navier-Stokes equationsa priori estimatesdissipationweak solutionskinetic energyglobal solutionsregular solutions

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Cites Work

• Some new integral identities for solenoidal fields and applications
• On the interior regularity of weak solutions of the Navier-Stokes equations
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• On smoothness of suitable weak solutions to the Navier-Stokes equations
• Approximation of potential and solenoidal vector fields
• Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
• Un teorema di unicita per le equazioni di Navier-Stokes
• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• Partial regularity of suitable weak solutions of the navier-stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Sixth problem of the millennium: Navier-Stokes equations, existence and smoothness
• Über die Anfangswertaufgabe für die hydrodynamischen Grundgleichungen. Erhard Schmidt zu seinem 75. Geburtstag gewidmet
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