The MHD Equations and the Model
A new method for solving the MHD equations in the magnetosheath
... our model to northward IMF with the solar wind flow along the stagnation ...Our model is stationary and time relaxation has not to be considered as in global MHD ...the MHD equations ...
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Decay Rates of the Full Compressible Hall MHD Equations for Quantum Plasmas
... People might refer to Haas [5] for more physical interpretations of the model. Pu et al . [6] recently got global existence of classical solutions for the full com- pressible quantum Navier-Stokes. Global ...
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Blow-up criteria for smooth solutions to the generalized 3D MHD equations
... GMHD equations is a generalized model of MHD ...GMHD equations are also mathematically ...Navier-Stokes equations, whether there exists a global smooth solution to D impress- ible GMHD ...
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An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations
... differential equations (PDE) linking temporal and spatial changes of the consid- ered variables in systems of conservation ...governing equations under consideration incrementally by building their ...
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Existence and Convergence of an MHD Approximate Deconvolution Model
... (LES) model for the equations of Magnetohydrodynamics ...the MHD the approach by Stolz and Adams with van Cittert approximate deconvolution ...
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Local existence for the non resistive MHD equations in nearly optimal Sobolev spaces
... Euler equations on R d are ill posed in H 1 + d / 2 for n = 2, 3, and we have shown via an explicit example that for the heat equation we cannot gain the time integrability of two additional derivatives that is ...
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Two-dimensional MHD model of the reconnection diffusion region
... 3 Space Research Institute, Austrian Academy of Sciences, Schmiedlstrasse 6, Graz, A-8042, Austria Received: 06 August 2001 – Accepted: 16 October 2001 Abstract. Magnetic reconnection is an important process providing a ...
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Slow shock interactions in the heliosphere using an adaptive grid MHD model
... The basic MHD equations are listed in the next section en- titled “Magnetohydrodynamic Equations.” We will discuss in more detail the interaction of two slow shocks and the evo- lution of slow ...
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MHD-RLC discharge model and the efficiency characteristics of plasma synthetic jet actuator
... discharge model in the present paper. The model couples the magnetohydrodynamics (MHD) equations with the resistor-inductor-capacitor (RLC) equations, and is able to resolve the ...
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On invariance analysis of MHD boundary layer equations for non-Newtonian Williamson fluids
... the MHD boundary layer flow of a typical non-Newtonian fluid so-called Williamson fluid, although mathematically more complex ...power-law model has infinite effective viscosity for low shear rate and thus ...
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Meromorphy and topology of localized solutions in the Thomas–MHD model
... 2.2. Singularity analysis At the end of this rather elementary but systematic discussion, we want to stress that all non-trivial solutions are meromorphic functions exhibiting one or an infinite number of poles in the ...
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Scaling Group –Theoretic Techanique For The Class Of Mhd Boundary Layer Equations Of Non-Newtonian Fluids
... laminar MHD boundary layer flows of incompressible non- Newtonian is ...any model, which is characterized by the property that its stress and the rate of strain can be related by arbitrary continuous ...
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A magnetic regularity criterion for the 2D MHD equations with velocity dissipation
... Abstract In this paper we consider an initial value problem of the 2D MHD equations with velocity dissipation and without magnetic diffusion. We establish a new magnetic regularity criterion in terms of the ...
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Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces
... 2. Cao, CS, Wu, JH: Two regularity criteria for the 3D MHD equations. J. Differ. Equ. 248, 2263-2274 (2010) 3. Chen, QL, Miao, CX, Zhang, ZF: On the regularity criterion of weak solutions for the 3D viscous ...
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On the regularity criterion for the 3D generalized MHD equations in Besov spaces
... generalized MHD equations, a system of equations resulting from replacing the Laplacian – in the usual MHD equations by a fractional Laplacian (– ) α ...generalized MHD ...
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Decay Rates of the Compressible Hall MHD Equations for Quantum Plasmas
... linearized equations and a standard energy method, the global existence and its convergence rates are obtained in various norms for the solution to the equilibrium state in the whole space when the initial ...
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Travelling Wave Solutions for Three Dimensional Incompressible MHD Equations
... word MHD is made up of three terms magneto indicating magnetic field, hydro referring liquid, and dynamics meaning ...of MHD is a fascinatingly rich field of physics and applied mathematics that considers ...
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Low Beta MHD Equilibrium Including a Static Magnetic Island for Reduced MHD Equations in a Straight Heliotron Configuration
... The treatment in each step is di ff erent between the PIES and the HINT codes. In the first step of the PIES code, the pressure satisfying the equation of B · ∇ P = 0 for a given magnetic field B is obtained with the ...
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VisAn MHD: a toolbox in Matlab for MHD computer model data visualisation and analysis
... the MHD simulations it is possible to enlarge the scope of the point-to-point observations and to fill the gaps left by mea- surements in order to get a full 3-D representation of the pro- cesses in our geospace ...
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Global well posedness of 2D generalized MHD equations with fractional diffusion
... Full list of author information is available at the end of the article Abstract In this paper we prove the uniqueness of weak solutions and the global-in-time existence of smooth solutions of the 2D generalized ...
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