On the topological size of the class of Leray solutions with algebraic decay

DOI10.1112/blms.12912arXiv2307.10630MaRDI QIDQ6188125

Paulo R. Zingano, Lorenzo Brandolese, Cilon F. Perusato

Publication date: 1 February 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.10630

zbMATH Keywords

incompressible Navier-Stokes equationsLeray solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Transform methods (e.g., integral transforms) applied to PDEs (35A22)

Cites Work

• Unnamed Item
• Poincaré's inequality and diffusive evolution equations
• \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
• Decay in time of incompressible flows
• Remark on the rate of decay of higher order derivatives for solutions to the Navier-Stokes equations in \(\mathbb{R}^n\)
• On two new inequalities for Leray solutions of the Navier-Stokes equations in \(\mathbb{R}^n\)
• On the characterization of the Navier-Stokes flows with the power-like energy decay
• Nonlinear open mapping principles, with applications to the Jacobian equation and other scale-invariant PDEs
• Upper and lower \(\dot{H}^m\) estimates for solutions to parabolic equations
• Characterization of Solutions to Dissipative Systems with Sharp Algebraic Decay
• Fourier Analysis and Nonlinear Partial Differential Equations
• The Three-Dimensional Navier–Stokes Equations
• Decay Results for Weak Solutions of the Navier-Stokes Equations on Rⁿ
• On the decay of higher-order norms of the solutions of Navier–Stokes equations
• Decay characterization of solutions to dissipative equations
• A remark on the decay of solutions to the 3‐D Navier–Stokes equations

This page was built for publication: On the topological size of the class of Leray solutions with algebraic decay