Well-chosen weak solutions of the instationary Navier-Stokes system and their uniqueness

DOI10.14492/hokmj/1529308824zbMath1397.35170OpenAlexW2809000130WikidataQ129684885 ScholiaQ129684885MaRDI QIDQ1652743

Reinhard Farwig, Yoshikazu Giga

Publication date: 11 July 2018

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.hokmj/1529308824

zbMATH Keywords

Navier-Stokes equationsinitial valuesSerrin's uniquenes theoremstrong \(L^s_\alpha(L^q)\)-solutionswell-chosen weak solutions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30) Strong solutions to PDEs (35D35)

Related Items (4)

About local continuity with respect to \(L_2\) initial data for energy solutions of the Navier-Stokes equations ⋮ Jean Leray: Sur le mouvement d'un liquide visqueux emplissant l'espace. Acta Math. 63 (1934), 193--248 ⋮ Navier-Stokes equations: a new estimate of a possible gap related to the energy equality of a suitable weak solution ⋮ Uniqueness results for weak Leray-Hopf solutions of the Navier-Stokes system with initial values in critical spaces

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