Global well-posedness of the Cauchy problem for certain magnetohydrodynamic-α models

DOI10.1002/mma.1265zbMath1197.35202OpenAlexW1993077150MaRDI QIDQ3580168

Yi Du, Zhengan-Yao, Hua Qiu

Publication date: 11 August 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1265

zbMATH Keywords

global well-posednessLittlewood-Paley decompositionmagnetohydrodynamic

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (2)

The global existence and analyticity of a mild solution to the 3D regularized MHD equations ⋮ Global Cauchy problem for a Leray-\(\alpha\) model

Cites Work

• Unnamed Item
• A fully implicit numerical method for single-fluid resistive magnetohydrodynamics
• Vanishing shear viscosity limit in the magnetohydrodynamic equations
• The Camassa-Holm equations and turbulence
• Global classical solutions for MHD system
• Averaged Lagrangians and the mean effects of fluctuations in ideal fluid dynamics
• On the convergence of solutions of the Leray-\(\alpha\) model to the trajectory attractor of the 3D Navier-Stokes system
• On the regularity of weak solutions to the magnetohydrodynamic equations
• The Cauchy problem for viscous shallow water equations
• Analytical study of certain magnetohydrodynamic-α models
• A numerical study of the alpha model for two-dimensional magnetohydrodynamic turbulent flows
• Numerical simulations of the Lagrangian averaged Navier–Stokes equations for homogeneous isotropic turbulence
• Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
• Inertial range scaling, Kármán-Howarth theorem, and intermittency for forced and decaying Lagrangian averaged magnetohydrodynamic equations in two dimensions
• The Navier-Stokes-alpha model of fluid turbulence
• An Eulerian-Lagrangian approach to the Navier-Stokes equations
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

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