Discretely self-similar solutions for 3D MHD equations and global weak solutions in weighted \(L^2\) spaces

DOI10.1007/s00021-020-00551-1zbMath1461.35181OpenAlexW3122337983MaRDI QIDQ1995035

Oscar Jarrín, Pedro Gabriel Fernández-Dalgo

Publication date: 18 February 2021

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-020-00551-1

zbMATH Keywords

magnetohydrodynamicsdiscretely self-similar solutionlocal energy controlweak solutions in weighted spaces

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30) Self-similar solutions to PDEs (35C06)

Related Items (7)

Liouville theorems for a stationary and non-stationary coupled system of liquid crystal flows in local Morrey spaces ⋮ Liouville-type theorems for 3D stationary tropical climate model in mixed local Morrey spaces ⋮ Existence of local suitable weak solutions to the Navier-Stokes equations for initial data in \(L^2_{loc} ( \mathbb{R}^3)\) ⋮ Weak-strong uniqueness in weighted \(L^2\) spaces and weak suitable solutions in local Morrey spaces for the MHD equations ⋮ On the local pressure expansion for the Navier-Stokes equations ⋮ Weighted energy estimates for the incompressible Navier-Stokes equations and applications to axisymmetric solutions without swirl ⋮ On the use of the Riesz transforms to determine the pressure term in the incompressible Navier-Stokes equations on the whole space

Cites Work

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• The Navier-Stokes Problem in the 21st Century
• Solutions faibles d'énergie infinie pour les équations de Navier—Stokes dans ℝ3
• Global existence, regularity, and uniqueness of infinite energy solutions to the Navier-Stokes equations

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