On Some Classes of Time-Periodic Solutions for the Navier--Stokes Equations in the Whole Space

DOI10.1137/130947805zbMath1323.35131OpenAlexW2065396076MaRDI QIDQ5253434

Pierre Gilles Lemarié Rieusset

Publication date: 26 May 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130947805

zbMATH Keywords

Navier-Stokes equationsperiodic solutionsmaximal functions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (12)

The Navier-Stokes equations on the plane with time-dependent external forces ⋮ The MHD equations in the Lorentz space with time dependent external forces ⋮ Asymptotic stability and bifurcation of time-periodic solutions for the viscous Burgers' equation ⋮ A trace problem for associate Morrey potentials ⋮ Vanishing solution of Leray equation in 3-space ⋮ On the uniqueness of mild solutions for the parabolic-elliptic Keller-Segel system in the critical \(L^p \)-space ⋮ Time periodic strong solutions to the incompressible Navier-Stokes equations with external forces of non-divergence form ⋮ On a bilinear estimate in weak-Morrey spaces and uniqueness for Navier-Stokes equations ⋮ On time periodic solutions, asymptotic stability and bifurcations of Navier-Stokes equations ⋮ Besov-weak-Herz spaces and global solutions for Navier-Stokes equations ⋮ Bilinear estimates and uniqueness for Navier-Stokes equations in critical Besov-type spaces ⋮ Stability of singular solutions to the Navier-Stokes system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stationary Navier-Stokes equations with critically singular external forces: existence and stability results
• A note on the existence of periodic solutions of the Navier-Stokes equations
• Strong \(L^ p\)-solutions of the Navier-Stokes equation in \(R^ m\), with applications to weak solutions
• A note on Riesz potentials
• The Navier-Stokes equations in the weak-\(L^n\) space with time-dependent external force
• Capacitary inequalities for fractional integrals, with applications to partial differential equations and Sobolev multipliers
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• Periodic solutions of the Navier-Stokes equations in unbounded domains
• \(L^2\)-asymptotic stability of singular solutions to the Navier-Stokes system of equations in \(\mathbb R^3\)
• On the Navier-Stokes initial value problem. I
• The existence and regularity of time-periodic solutions to the three-dimensional Navier–Stokes equations in the whole space
• The uncertainty principle
• Existence and stability of time-periodic solutions to the Navier-Stokes equations in the whole space
• Nonlinear equations and weighted norm inequalities
• Initial Values of Solutions of the Navier-Stokes Equations
• On Certain Convolution Inequalities
• Strong solutions of the Navier-Stokes equation in Morrey spaces
• Well-posedness of the Navier—Stokes—Maxwell equations
• Well-posedness for the Navier-Stokes equations

This page was built for publication: On Some Classes of Time-Periodic Solutions for the Navier--Stokes Equations in the Whole Space