Weak-strong uniqueness for the generalized Navier-Stokes equations

DOI10.1016/j.aml.2011.09.028zbMath1239.35118OpenAlexW2012895310MaRDI QIDQ427630

Hongwei Wu, Jishan Fan

Publication date: 14 June 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.09.028

zbMATH Keywords

Besov spacegeneralized Navier-Stokes equationsweak-strong uniqueness

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Besov spaces and (Q_p)-spaces (30H25)

Related Items (11)

Dynamics for generalized incompressible Navier-Stokes equations in \(\mathbb{R}^2\) ⋮ Dispersive effect of the Coriolis force and the local well-posedness for the fractional Navier-Stokes-Coriolis system ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Global well-posedness of the generalized incompressible Navier-Stokes equations with large initial data ⋮ On weak-strong uniqueness of solutions to the generalized incompressible Navier-Stokes equations ⋮ Fractional Navier-Stokes equations ⋮ Uniqueness of weak solutions for fractional Navier-Stokes equations ⋮ Global large solutions to the 3-D generalized incompressible Navier-Stokes equations ⋮ Inviscid limit for the damped generalized incompressible Navier-Stokes equations on \(\mathbb{T}^2\) ⋮ Well-posedness and decay of solutions for three-dimensional generalized Navier-Stokes equations

Cites Work

• The generalized incompressible Navier-Stokes equations in Besov spaces
• Generalized MHD equations.
• A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations
• On global infinite energy solutions to the Navier-Stokes equations in two dimensions
• Regularity criteria for the generalized viscous MHD equations
• Un teorema di unicita per le equazioni di Navier-Stokes
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Entropy Numbers and Approximation Numbers in Function Spaces, II
• Behavior of Solutions of 2D Quasi-Geostrophic Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weak-strong uniqueness for the generalized Navier-Stokes equations