Discretely self-similar solutions to the Navier-Stokes equations with data in \(L_{\text{loc}}^2\) satisfying the local energy inequality
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Publication:2279785
DOI10.2140/apde.2019.12.1943zbMath1431.35100arXiv1801.08060OpenAlexW3100921122WikidataQ126976630 ScholiaQ126976630MaRDI QIDQ2279785
Zachary Bradshaw, Tai-Peng Tsai
Publication date: 13 December 2019
Published in: Analysis \& PDE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.08060
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Self-similar solutions to PDEs (35C06)
Related Items (11)
Global weak solutions of the Navier-Stokes equations for intermittent initial data in half-space ⋮ Existence of global weak solutions to the Navier-Stokes equations in weighted spaces ⋮ Regular sets and an \(\varepsilon \)-regularity theorem in terms of initial data for the Navier-Stokes equations ⋮ Spatial decay of discretely self-similar solutions to the Navier-Stokes equations ⋮ Existence of local suitable weak solutions to the Navier-Stokes equations for initial data in \(L^2_{loc} ( \mathbb{R}^3)\) ⋮ Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations ⋮ On the local pressure expansion for the Navier-Stokes equations ⋮ Existence of suitable weak solutions to the Navier-Stokes equations for intermittent data ⋮ Weighted energy estimates for the incompressible Navier-Stokes equations and applications to axisymmetric solutions without swirl ⋮ Characterisation of the pressure term in the incompressible Navier-Stokes equations on the whole space ⋮ Local Energy Solutions to the Navier--Stokes Equations in Wiener Amalgam Spaces
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