Asymmetric and moving-frame approaches to MHD equations

DOI10.1007/s10114-012-0503-7zbMath1260.35166arXiv0908.3625OpenAlexW2146556303MaRDI QIDQ1943010

Bin Tao Cao

Publication date: 14 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3625

zbMATH Keywords

moving frameMHD equationsBernoulli equationasymmetric condition

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Series solutions to PDEs (35C10) Magnetohydrodynamics and electrohydrodynamics (76W05) Soliton equations (35Q51)

Cites Work

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• Impulse formulations of Hall magnetohydrodynamic equations
• Lower bounds for an integral involving fractional Laplacians and the generalized Navier-Stokes equations in Besov spaces
• The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
• An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics
• Local solvability of equations of magnetohydrodynamics on the whole space
• An upwind differencing scheme for the equations of ideal magnetohydrodynamics
• A higher-order Godunov method for the equations of ideal magnetohydrodynamics
• An approximate Riemann solver for ideal magnetohydrodynamics
• Mixed finite element methods for stationary incompressible magneto-hydrodynamics
• Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems
• A solution-adaptive upwind scheme for ideal magnetohydrodynamics
• Mixed finite element approximation of incompressible MHD problems based on weighted regularization
• Numerical simulation of the MHD equations by a kinetic-type method
• On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
• Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
• Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
• Wellposedness for the magnetohydrodynamics equation in critical space
• Implicit symmetrized streamfunction formulations of magnetohydrodynamics
• Asymmetric and moving-frame approaches to Navier-Stokes equations
• On Classes of Lie Solutions of MHD Equations, Expressed via the General Solution of the Heat Equation
• Notes on the Eigensystem of Magnetohydrodynamics
• A Losing Estimate for the Ideal MHD Equations with Application to Blow‐up Criterion
• Regularity Criteria for the Generalized MHD Equations

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