Stability behaviors of Leray weak solutions to the three-dimensional Navier-Stokes equations

DOI10.1016/j.nonrwa.2015.10.011zbMath1342.35214OpenAlexW2218336002MaRDI QIDQ253861

Yan Jia, Bo-Qing Dong

Publication date: 8 March 2016

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.10.011

zbMATH Keywords

Navier-Stokes equationsenergy equalitystability behaviorsweak-strong uniqueness

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30)

Related Items (7)

Pullback \(\mathcal{D}\)-attractors for three-dimensional Navier-Stokes equations with nonlinear damping ⋮ The optimal upper and lower bounds of convergence rates for the 3D Navier-Stokes equations under large initial perturbation ⋮ Unnamed Item ⋮ Dynamics of weak solutions for the three dimensional Navier-Stokes equations with nonlinear damping ⋮ Pullback exponential attractors for the three dimensional non-autonomous Navier-Stokes equations with nonlinear damping ⋮ Long-time behaviors for the Navier-Stokes equations under large initial perturbation ⋮ Uniform stability for the 3D magneto-hydrodynamics equations

Cites Work

• Unnamed Item
• Unnamed Item
• On the stability in weak topology of the set of global solutions to the Navier-Stokes equations
• Wellposedness and stability results for the Navier-Stokes equations in \(\mathbb R^3\)
• On the uniqueness of weak solutions for the 3D Navier-Stokes equations
• Weak solutions of Navier-Stokes equations
• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• \(L^ p\)-stability for the strong solutions of the Navier-Stokes equations in the whole space
• Global stability of large solutions to the 3D Navier-Stokes equations
• Asymptotics and stability for global solutions to the Navier-Stokes equations.
• Asymptotic stability of large solutions with large perturbation to the Navier-Stokes equations
• On global infinite energy solutions to the Navier-Stokes equations in two dimensions
• On the stability of global solutions to Navier--Stokes equations in the space
• On the weak-strong uniqueness of Koch-Tataru's solution for the Navier-Stokes equations
• Stability to the global large solutions of 3-D Navier-Stokes equations
• Fourier Analysis and Nonlinear Partial Differential Equations
• About weak-strong uniqueness for the 3D incompressible Navier-Stokes system
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Structure of the set of stationary solutions of the navier‐stokes equations
• A new proof of the Caffarelli-Kohn-Nirenberg theorem
• Asymptotic Stability for the 3D Navier–Stokes Equations
• Partial regularity of suitable weak solutions of the navier-stokes equations

This page was built for publication: Stability behaviors of Leray weak solutions to the three-dimensional Navier-Stokes equations