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A New S-M Limiter Entropy Stable Scheme Based on Moving Mesh Method for Ideal MHD and SWMHD Equations
For magnetohydrodynamics (MHD) equations, the existing entropy stable (ES) flux effectively eliminates the spurious oscillation, but it still has...
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Helically symmetric equilibria for some ideal and resistive MHD plasmas with incompressible flows
In this paper, the problem of finding exact solutions to the magnetohydrodynamic (MHD) equations in the presence of incompressible mass flows with...
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A Low Mach Number Two-Speed Relaxation Scheme for Ideal MHD Equations
In this workBirke, Claudius weKlingenberg, Christian apply the two-speed relaxation technique to a relaxation system for the compressible ideal...
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A High-Order Residual-Based Viscosity Finite Element Method for the Ideal MHD Equations
We present a high order, robust, and stable shock-capturing technique for finite element approximations of ideal MHD. The method uses continuous...
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An Unconventional Divergence Preserving Finite-Volume Discretization of Lagrangian Ideal MHD
We construct an unconventional divergence preserving discretization of updated Lagrangian ideal magnetohydrodynamics (MHD) over simplicial grids. The...
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The global existence and analyticity of a mild solution to the 3D regularized MHD equations
In this paper, we study the three-dimensional regularized MHD equations with fractional Laplacians in the dissipative and diffusive terms. We...
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Derivation of the Hall-MHD Equations from the Navier–Stokes–Maxwell Equations
By using a set of scaling limits, the authors in Acheritogaray et al. (Kinet Relat Models 4:901–918, 2011) and Srinivasan and Shumlak (Phys Plasmas...
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High Order Structure-Preserving Finite Difference WENO Schemes for MHD Equations with Gravitation in all Sonic Mach Numbers
In this paper, we develop a high-order semi-implicit (SI) structure-preserving finite difference weighted essentially nonoscillatory (WENO) scheme...
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On the vanishing dissipation limit for the incompressible MHD equations on bounded domains
In this paper, we investigate the solvability, regularity and the vanishing dissipation limit of solutions to the three-dimensional viscous...
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Incompressible limit of ideal magnetohydrodynamics in a domain with boundaries
We study the incompressible limit of classical solutions to compressible ideal magneto-hydrodynamics in a domain with a flat boundary. The boundary...
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On the Topology of the Magnetic Lines of Solutions of the MHD Equations
We construct examples of smooth periodic solutions to the Magnetohydrodynamic equations in dimension 2 with positive resistivity for which the...
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A High Order Semi-implicit Scheme for Ideal Magnetohydrodynamics
In this work we design a novel semi-implicit finite volume solver for the equations of ideal magnetohydrodynamics (MHD). The nonlinear convective...
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Analysis of MHD Fluid Flow and Heat Transfer Inside an Inclined Deformable Filter Chamber: Lie Group Method
This paper investigates MHD fluid flow and distribution of heat inside a filter chamber during a process of filtering particles from the fluid. A...
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A Provable Positivity-Preserving Local Discontinuous Galerkin Method for the Viscous and Resistive MHD Equations
In this paper, we construct a high-order discontinuous Galerkin (DG) method which can preserve the positivity of the density and the pressure for the...
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Energy equality of MHD system under a weaker condition on magnetic field
We prove the energy equality of MHD system in the space founded by Cheskidov et al. (Nonlinearity 21:1233–1252, 2008) and Berselli and Chiodaroli...
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A Finite Volume Method for the 3D Lagrangian Ideal Compressible Magnetohydrodynamics
We propose a cell-centered Lagrangian scheme for solving the three dimensional ideal magnetohydrodynamics (MHD) equations on unstructured meshes. The...
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An Efficient Low-Dissipation High-Order TENO Scheme for MHD Flows
In this paper, an efficient low-dissipation high-order TENO scheme is proposed for ideal MHD flows. For high computational efficiency, a...
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Numerical Analysis of MHD Hybrid Nanofluid Flow a Porous Stretching Sheet with Thermal Radiation
The current investigation considers the two-dimensional time independent MHD flow and heat transfer of a water-based hybrid nanofluid induced by a...
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A Well-Balanced Semi-implicit IMEX Finite Volume Scheme for Ideal Magnetohydrodynamics at All Mach Numbers
We propose a second-order accurate semi-implicit and well-balanced finite volume scheme for the equations of ideal magnetohydrodynamics including...
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Global Strong Solutions to Cauchy Problem of 1D Non-resistive MHD Equations with No Vacuum at Infinity
In this paper, we study the Cauchy problem of 1D non-resistive compressible magnetohydrodynamics (MHD) equations. We established the global existence...