MHD equations
Global well posedness of 2D generalized MHD equations with fractional diffusion
... Global well-posedness of 2D generalized MHD equations with fractional diffusion Zhiqiang Wei1* and Weiyi Zhu2 * Correspondence: [email protected] 1 School of Mathematics and Informa[r] ...
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A magnetic regularity criterion for the 2D MHD equations with velocity dissipation
... basic equations in fluid kinematics is one of the interesting ...the MHD equations [, ], the Benjamin-Bona-Mahony equations [, ], and the quasi-geostrophic equations ...the ...
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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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Decay Rates of the Full Compressible Hall MHD Equations for Quantum Plasmas
... ∇ × ∇ × × , which plays a significant role in magnetic reconnection. However, as far as we know, few achievements have been made in the study of the dynamics of global solutions to the 3D compressible Hall-MHD ...
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On the regularity criterion for the 3D generalized MHD equations in Besov spaces
... The purpose of this paper is to deal with the case α = β of the system (), to establish certain kind of regularity criteria. The tools we use here are the Littlewood-Paley theory and the Bony paraproduct decomposition. ...
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Decay Rates of the Compressible Hall MHD Equations for Quantum Plasmas
... Hall-MHD equations, which represent the momentum conservation equation for the plasma ...classical MHD equations, there exists the Hall term ∇× ∇× ( ( B B ) × ) in ...Hall-MHD ...
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A single exponential BKM type estimate for the 3D incompressible ideal MHD equations
... u(t, x), h(t, x) ∈ C [, T ]; H s ∩ C [, T ]; H s– . () Recently, Caflisch et al. [] extended the well-known result of Beale et al. [] to the D ideal MHD equations. More precisely, they showed that ...
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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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Travelling Wave Solutions for Three Dimensional Incompressible MHD Equations
... One of the most prominent reasons for this difficulty is the phenomenon of fluid turbulence which again rears its head in MHD [9] [10]. In addition to the velocity field displaying disordered behavior the external ...
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Remarks on the regularity criteria for the 3D MHD equations in the multiplier spaces
... Guo, ZG, Gala, S: A regularity criterion for the Navier-Stokes equations in terms of one directional derivative of the velocity field. Gala, S: Extension criterion on regularity for weak [r] ...
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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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Spectrum Properties of Hall MHD Turbulence
... Hall MHD may be the clarification of the Hall effects on energy transfer of small ...and MHD turbulence [9], the role of Hall effects in turbulence is not fully ...the MHD and Hall MHD tur- ...
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The stability of parallel-propagating circularly polarized Alfvén waves revisited
... linearized MHD equations dictate how other quantities must ...ideal MHD equations is a system with periodic coefficients and used Floquet’s theorem to derive the dispersion equation ...
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Numerical Calculation of MHD Equilibria including Static Magnetic Islands in a Straight Heliotron Configuration by Means of a Field Line Tracing Method
... reduced MHD equations in a straight heliotron plasma are ...coupled equations of the constant pressure along each field line and the force ...latter equations are solved by means of a field ...
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LSFEM Implementation of MHD Numerical Solver
... of MHD turbulence or magnetic reconnection, namely in the hot and sparse, almost collision-less astrophysical plasmas, can stand as clear ...for MHD simulations has recently only begun and only few ...
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Wave turbulence in magnetized plasmas
... the MHD equa- tions (Galtier and Chandran, ...original MHD equations is still a difficult task but re- cent progress has been made in which temporal, structural and spectral signatures are reported ...
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Inhomogeneous boundary value problems for steady compressible magnetohydrodynamic equations
... magnetohydrodynamic equations one may refer to [1, ...fluid equations in two dimension when the initial date are small perturbations of given constant ...compressible MHD equations when the ...
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Effectiveness of GPGPU for Solving the Magnetohydrodynamics Equations Using the CIP-MOCCT Method
... A method for the plasma dynamics analysis is numer- ical simulation by solving the MHD equations. However, solving them in three dimensions is expensive and requires excessive computing time; hence, faster ...
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A Regularity Criterion for the Nematic Liquid Crystal Flows
... Remark 1.2. Equation 1.5 can be regarded as a logarithmically improved regularity criterion of the form ∇u ∈ L r 0, T ; L p R 3 with 2/r 3/p 2. Condition 1.5 only involves the velocity field u, which plays a dominant ...
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Local existence of strong solutions to the k-ε model equations for turbulent flows
... compressible MHD equations, the research directions, which mainly contain first the existence of weak and strong solutions and second the condition of weak solutions be- coming a strong or even classical one ...
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