A criterion for uniqueness of Lagrangian trajectories for weak solutions of the 3D Navier-Stokes equations

DOI10.1007/s00220-009-0819-zzbMath1186.35146OpenAlexW1996972034MaRDI QIDQ1048048

James C. Robinson, Witold Sadowski

Publication date: 11 January 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-009-0819-z

zbMATH Keywords

weak solutionNavier-Stokes equationsLagrangian trajectories

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)

Related Items (7)

An anisotropic partial regularity criterion for the Navier-Stokes equations ⋮ On solutions of the transport equation in the presence of singularities ⋮ Non-conservation of dimension in divergence-free solutions of passive and active scalar systems ⋮ Localized anisotropic regularity conditions for the Navier-Stokes equations ⋮ On local regularity conditions for the Navier–Stokes equations ⋮ Positive solutions of transport equations and classical nonuniqueness of characteristic curves ⋮ Nonuniqueness of weak solutions for the transport equation at critical space regularity

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