A class of solutions of the Navier-Stokes equations with large data

DOI10.1016/j.jde.2013.05.009zbMath1290.35186OpenAlexW2092684799MaRDI QIDQ2434362

Mohammed Ziane, Igor Kukavica, Walter M. Rusin

Publication date: 5 February 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2013.05.009

zbMATH Keywords

Navier-Stokes equationsperiodic boundary conditionsglobal regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15)

Related Items (8)

Global strong solution to the 3D incompressible magnetohydrodynamic system in the scaling invariant Besov-Sobolev-type spaces ⋮ Large order Reynolds expansions for the Navier-Stokes equations ⋮ On the well-posedness of the anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation ⋮ On the global existence for the Kuramoto-Sivashinsky equation ⋮ Global regularity of the Navier-Stokes equations on 3D periodic thin domain with large data ⋮ Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation ⋮ A class of large \(BMO^{-1}\) non-oscillatory data for the Navier-Stokes equations ⋮ Global well-posedness for the 3-D incompressible MHD equations in the critical Besov spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global regularity for some classes of large solutions to the Navier-Stokes equations
• Regularity of the Navier-Stokes equation in a thin periodic domain with large data
• On the regularity of the Navier-Stokes equation in a thin periodic domain
• Ill-posedness of the Navier-Stokes equations in a critical space in 3D
• Asymptotic analysis of the Navier-Stokes equations in thin domains
• Navier-Stokes equations in three-dimensional thin domains with various boundary conditions
• Large-eigenvalue global existence and regularity results for the Navier-Stokes equation
• Solutions of the Navier-Stokes equations for large oscillatory data
• On the Navier-Stokes initial value problem. I
• On the global wellposedness of the 3-D Navier–Stokes equations with large initial data
• Navier-Stokes equations with regularity in one direction
• Large, global solutions to the Navier-Stokes equations, slowly varying in one direction
• A Damped Hyperbolic Equation on Thin Domains
• The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Well-posedness for the Navier-Stokes equations
• Some results on the Navier-Stokes equations in thin 3D domains

This page was built for publication: A class of solutions of the Navier-Stokes equations with large data