\(L^ p\)-stability for the strong solutions of the Navier-Stokes equations in the whole space

DOI10.1007/BF00279962zbMath0678.35076OpenAlexW2055342036MaRDI QIDQ1124053

Hugo Beirão da Veiga, Paolo Secchi

Publication date: 1987

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00279962

zbMATH Keywords

strong solutionsglobal solutioninitial value problem\(L^ p\)-stabilitynon- stationary Navier-Stokes equations

Mathematics Subject Classification ID

Related Items (22)

Quantitative robustness of regularity for 3D Navier-Stokes system in \(\dot{H}^\alpha\)-spaces ⋮ On the stability of global solutions to Navier--Stokes equations in the space ⋮ Exponential stability for magneto-micropolar fluids ⋮ Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces ⋮ Stability of stationary solutions to the Navier–Stokes equations in the Besov space ⋮ Navier-Stokes equations, stability and minimal perturbations of global solutions ⋮ Asymptotic behavior of weak and strong solutions of the magnetohydrodynamic equations ⋮ Optimal convergence rates for solutions of the monopolar non-Newtonian flows ⋮ Stability of two-dimensional Navier-Stokes motions in the periodic case ⋮ Stability of 2D incompressible flows in \(\mathbb R^3\) ⋮ New results of general \(n\)-dimensional incompressible Navier-Stokes equations ⋮ Stability of two-dimensional solutions to the Navier-Stokes equations in cylindrical domains under Navier boundary conditions ⋮ On \(L^3\)-stability of strong solutions of the Navier-Stokes equations with the Navier-type boundary conditions ⋮ Asymptotic stability of non-Newtonian flows with large perturbation in \(\mathbb{R}^{2}\) ⋮ Asymptotic behavior for strong solutions of the Navier-Stokes equations with external forces ⋮ Asymptotic Stability for the 3D Navier–Stokes Equations ⋮ Long-time behaviors for the Navier-Stokes equations under large initial perturbation ⋮ Some stability problem for the Navier–Stokes equations in the periodic case ⋮ Asymptotic stability of large solutions with large perturbation to the Navier-Stokes equations ⋮ Stability behaviors of Leray weak solutions to the three-dimensional Navier-Stokes equations ⋮ A note on the Navier-Stokes IBVP with small data in \(L^n\) ⋮ The research of Paolo Secchi

Cites Work

• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• On \(L^ 2\) decay of weak solutions of the Navier-Stokes equations in \(\mathbb R^ n\)
• On the suitable weak solutions to the Navier-Stokes equations in the whole space
• The initial value problem for the Navier-Stokes equations with data in L\(^p\)
• Unnamed Item

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