Magneto‐hydrodynamic equations and parametric flag microlocal quantities at binary time interval
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DOI: 10.1002/mma.10386
Abstract: In this paper, we establish the well‐posedness of the Cauchy problem for incompressible magneto‐hydrodynamic equations by using parametric Meyer wavelets. The velocity field and magnetic field are expanded according to parametric wavelets given by a… read more here.
Keywords: magneto hydrodynamic; hydrodynamic equations; binary time; microlocal quantities ... See more keywords
Global Existence and Decay Rates for Both Isentropic and Nonisentropic 3D Compressible Hall‐Magneto‐Hydrodynamic Equations With Coulomb Force
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DOI: 10.1002/mma.70070
Abstract: We study the two (isentropic and nonisentropic) 3D compressible Hall‐magneto‐hydrodynamic equations with Coulomb force in the whole space in this thesis. By means of assuming that the initial value is small enough under the H3$$… read more here.
Keywords: magneto hydrodynamic; isentropic nonisentropic; compressible hall; hall magneto ... See more keywords
Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2018.10.013
Abstract: Abstract In this paper, we study a finite element approximation for a linear, first-order in time, unconditionally energy stable scheme proposed in [7] for solving the magneto-hydrodynamic equations. We first reformulate the semi-discrete scheme to… read more here.
Keywords: unconditionally energy; scheme; magneto hydrodynamic; hydrodynamic equations ... See more keywords
Numerical Issues for Solving Eu-type Generalized Hydrodynamic Equations to Investigate Continuum-rarefied Gas Flows
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DOI: 10.1038/s41598-018-36431-y
Abstract: Eu-type generalized hydrodynamic equations have been derived from the Boltzmann kinetic theory and applied to investigate continuum and/or rarefied gas flows. This short communication first reports detailed and important issues in the use of the… read more here.
Keywords: type generalized; generalized hydrodynamic; gas flows; hydrodynamic equations ... See more keywords
Lattice Boltzmann models for the hydrodynamic equations in multiphase flow with high density ratio
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DOI: 10.1063/5.0260829
Abstract: Multiphase flows with high density ratios, such as water and air flows, have recently been simulated using the lattice Boltzmann (LB) method. This approach corresponds to solving the phase field equations, such as the Cahn–Hilliard… read more here.
Keywords: density ratio; hydrodynamic equations; high density; density ... See more keywords
Hydrodynamic equations for a U(N) invariant superfluid
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DOI: 10.1088/1367-2630/ad8952
Abstract: In this paper, we develop an appropriate set of hydrodynamic equations for a U(N) invariant superfluid that couple the dynamics of superflow and magnetization. In the special case when both the superfluid and normal velocities… read more here.
Keywords: equation; invariant superfluid; hydrodynamic equations; equations invariant ... See more keywords
Deriving hydrodynamic equations from dry active matter models in three dimensions
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aad6b5
Abstract: We derive hydrodynamic equations from Vicsek-style dry active matter models in three dimensions (3D), building on our experience on the 2D case using the Boltzmann-Ginzburg-Landau approach. The hydrodynamic equations are obtained from a Boltzmann equation… read more here.
Keywords: models three; active matter; three dimensions; matter models ... See more keywords
Hydrodynamic Equations for Flocking Models without Velocity Alignment
Sign Up to like & getrecommendations! Published in 2017 at "Journal of the Physical Society of Japan"
DOI: 10.7566/jpsj.86.101010
Abstract: The spontaneous emergence of collective motion patterns is usually associated with the presence of a velocity alignment mechanism that mediates the interactions among the moving individuals. Despite of this widespread view, it has been shown… read more here.
Keywords: velocity alignment; equations flocking; hydrodynamic equations; position based ... See more keywords