On the initial boundary value problem for certain 2D MHD-\(\alpha\) equations without velocity viscosity
type: Item
instance of: scholarly article
title: On the initial boundary value problem for certain 2D MHD-\(\alpha\) equations without velocity viscosity
zbMATH Open document ID: 1351.35143
author: Jitao Liu
published in: Communications on Pure and Applied Analysis
publication date: 2016-10-10T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 6636870
zbMATH Keywords: MHD-\(\alpha\) equations
zbMATH Keywords: initial-boundary problem
zbMATH Keywords: global regularity
MaRDI profile type: Publication
full work available at URL: cpaa.2016.15.1179
OpenAlex ID: W2340300607
cites work: The second grade fluid and averaged Euler equations with Navier-slip boundary conditions
cites work: Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD
cites work: Global classical solutions for MHD system
cites work: Weak and classical solutions of a family of second grade fluids
cites work: Q4164338
cites work: Global Cauchy problem for the 2-D magnetohydrodynamic-\(\alpha \) models with partial viscous terms
cites work: The Euler-Poincaré equations and semidirect products with applications to continuum theories
cites work: Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics
cites work: Further existence results for classical solutions of the equations of a second-grade fluid
cites work: Elliptic Partial Differential Equations of Second Order
cites work: Weak and classical solutions of the two-dimensional magnetohydrodynamic equations
cites work: Q5599971
cites work: Analytical study of certain magnetohydrodynamic-α models
cites work: Convergence of the 2D Euler-\(\alpha\) to Euler equations in the Dirichlet case: indifference to boundary layers
cites work: Q3260749
cites work: Global regularity for the incompressible MHD-\({\alpha}\) system with fractional diffusion
DOI: 10.3934/CPAA.2016.15.1179
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description: scientific article; zbMATH DE number 6636870