Existence of global weak solutions to the Navier-Stokes equations in weighted spaces

DOI10.1512/iumj.2022.71.8789OpenAlexW4226210400MaRDI QIDQ5071007

Igor Kukavica, Zachary Bradshaw, Tai-Peng Tsai

Publication date: 19 April 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06929

zbMATH Keywords

Navier-Stokes equationsglobal existence

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Self-similar solutions to PDEs (35C06)

Related Items (7)

Global weak solutions of the Navier-Stokes equations for intermittent initial data in half-space ⋮ Asymptotic stability of explicit infinite energy blowup solutions of the 3D incompressible Navier-Stokes equations ⋮ Mild solutions and spacetime integral bounds for Stokes and Navier-Stokes flows in Wiener amalgam spaces ⋮ Existence of local suitable weak solutions to the Navier-Stokes equations for initial data in \(L^2_{loc} ( \mathbb{R}^3)\) ⋮ A remark on weak-strong uniqueness for suitable weak solutions of the Navier-Stokes equations ⋮ Weighted energy estimates for the incompressible Navier-Stokes equations and applications to axisymmetric solutions without swirl ⋮ Local Energy Solutions to the Navier--Stokes Equations in Wiener Amalgam Spaces

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