Quantitative robustness of regularity for 3D Navier-Stokes system in \(\dot{H}^\alpha\)-spaces

DOI10.1016/j.nonrwa.2016.03.001zbMath1342.35209arXiv1409.3485OpenAlexW2256135635MaRDI QIDQ282050

Jan Burczak, Wojciech M. Zajączkowski

Publication date: 11 May 2016

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

Full work available at URL: https://arxiv.org/abs/1409.3485

zbMATH Keywords

stabilityregularityNavier-Stokes systemhomogeneous Sobolev spacesnumerical falsification of regularitynumerical verification of regularity

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) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability of 2D incompressible flows in \(\mathbb R^3\)
• Global regular solutions with large swirl to the Navier-Stokes equations in a cylinder
• \(L^ p\)-stability for the strong solutions of the Navier-Stokes equations in the whole space
• On the stability of global solutions to Navier--Stokes equations in the space
• Solutions of the 3D Navier-Stokes equations for initial data in \(\dot H^{1/2}\): robustness of regularity and numerical verification of regularity for bounded sets of initial data in
• Stability of Two-Dimensional Viscous Incompressible Flows under Three-Dimensional Perturbations and Inviscid Symmetry Breaking
• Some global regular solutions to Navier–Stokes equations
• A posteriori regularity of the three-dimensional Navier–Stokes equations from numerical computations
• An A Posteriori Condition on the Numerical Approximations of the Navier–Stokes Equations for the Existence of a Strong Solution
• The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations
• L_3,∞-solutions of the Navier-Stokes equations and backward uniqueness
• Well-posedness for the Navier-Stokes equations
• Stability of nontrivial solutions of the Navier-Stokes system on the three-dimensional torus

This page was built for publication: Quantitative robustness of regularity for 3D Navier-Stokes system in \(\dot{H}^\alpha\)-spaces