Leray's Self-Similar Solutions to the Navier--Stokes Equations with Profiles in Marcinkiewicz and Morrey Spaces

DOI10.1137/16M110099XzbMath1391.35314arXiv1509.08177OpenAlexW2962773712MaRDI QIDQ4602791

Nguyen Cong Phuc, Cristi D. Guevara

Publication date: 2 February 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.08177

zbMATH Keywords

Navier-Stokes equationsMarcinkiewicz spaceMorrey spaceLiouville-type theorembackward self-similar solution

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Self-similar solutions to PDEs (35C06)

Related Items (6)

Leray's Backward Self-Similar Solutions to the 3D Navier--Stokes Equations in Morrey Spaces ⋮ Vanishing solution of Leray equation in 3-space ⋮ On the Liouville type theorems for self-similar solutions to the Navier-Stokes equations ⋮ \(\varepsilon\)-regularity criteria in anisotropic Lebesgue spaces and Leray's self-similar solutions to the 3D Navier-Stokes equations ⋮ Accretivity of the general second order linear differential operator ⋮ On local type I singularities of the Navier -- Stokes equations and Liouville theorems

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