The Cauchy problem for the 2D magnetohydrodynamic-\(\alpha \) equations
type: Item
instance of: scholarly article
title: The Cauchy problem for the 2D magnetohydrodynamic-\(\alpha \) equations
zbMATH Open document ID: 1200.35231
author: Hua Qiu
author: Yi Du
author: Zheng-An Yao
published in: Nonlinear Analysis. Real World Applications
publication date: 2010-10-14T00:00:00Z
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 42B35
zbMATH DE Number: 5799972
zbMATH Keywords: magnetohydrodynamic-\(\alpha \) equations
zbMATH Keywords: Littlewood-Paley decomposition
zbMATH Keywords: Cauchy problem
zbMATH Keywords: global well-posedness
zbMATH Keywords: iteration scheme
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2009.11.025
OpenAlex ID: W2090370153
cites work: Existence and continuous dependence of large solutions for the magnetohydrodynamic equa\-tions
cites work: Existence theorem and blow-up criterion of the strong solutions to the two-fluid MHD equation in \(\mathbb R^{3}\)
cites work: Vanishing shear viscosity limit in the magnetohydrodynamic equations
cites work: On the regularity criteria for weak solutions to the magnetohydrodynamic equations
cites work: On the regularity of weak solutions to the magnetohydrodynamic equations
cites work: Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
cites work: The Camassa-Holm equations and turbulence
cites work: On the convergence of solutions of the Leray-\(\alpha\) model to the trajectory attractor of the 3D Navier-Stokes system
cites work: An Eulerian-Lagrangian approach to the Navier-Stokes equations
cites work: The Navier-Stokes-alpha model of fluid turbulence
cites work: The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
cites work: Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics
cites work: A modified-Leray-α subgrid scale model of turbulence
cites work: Numerical simulations of the Lagrangian averaged Navier–Stokes equations for homogeneous isotropic turbulence
cites work: Analytical study of certain magnetohydrodynamic-α models
cites work: A numerical study of the alpha model for two-dimensional magnetohydrodynamic turbulent flows
cites work: Inertial range scaling, Kármán-Howarth theorem, and intermittency for forced and decaying Lagrangian averaged magnetohydrodynamic equations in two dimensions
cites work: A fully implicit numerical method for single-fluid resistive magnetohydrodynamics
cites work: Q4210480
cites work: Q3593809
cites work: LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES
cites work: The Cauchy problem for viscous shallow water equations
cites work: Global existence in critical spaces for compressible Navier-Stokes equations
cites work: Q5890172
cites work: Global classical solutions for MHD system
DOI: 10.1016/J.NONRWA.2009.11.025
description: scientific article; zbMATH DE number 5799972