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Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Periodic Boundary Conditions

https://doi.org/10.1007/s00220-010-0992-0
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/3527604294.ch2openalex-snapshot
The Electrodynamics of Continuous Media
inferredcites →https://doi.org/10.1002/cpa.3160360506openalex-snapshot
Some mathematical questions related to the mhd equations
inferredcites →https://doi.org/10.1006/jdeq.1994.1157openalex-snapshot
Fast Singular Limits of Hyperbolic PDEs
inferredcites →https://doi.org/10.1007/bf00250512openalex-snapshot
Inéquations en thermoélasticité et magnétohydrodynamique
inferredcites →https://doi.org/10.1007/bf03167869openalex-snapshot
Smooth global solutions for two-dimensional equations of electro-magneto-fluid dynamics
inferredcites →https://doi.org/10.1007/s00205-010-0295-9openalex-snapshot
Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows
inferredcites →https://doi.org/10.1007/s00220-008-0497-2openalex-snapshot
Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows
inferredcites →https://doi.org/10.1007/s00220-010-0992-0openalex-snapshot
Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Periodic Boundary Conditions
inferredcites →https://doi.org/10.1007/s002200050308openalex-snapshot
The Zero-Mach Limit of Compressible Flows
inferredcites →https://doi.org/10.1016/0021-9169(65)90054-1openalex-snapshot
Magnetohydrodynamics
inferredcites →https://doi.org/10.1016/0301-4215(91)90141-aopenalex-snapshot
Fundamentals of magnetohydrodynamics
inferredcites →https://doi.org/10.1016/j.na.2007.10.005openalex-snapshot
Global variational solutions to the compressible magnetohydrodynamic equations
inferredcites →https://doi.org/10.1016/j.nonrwa.2007.10.001openalex-snapshot
Strong solution to the compressible magnetohydrodynamic equations with vacuum
inferredcites →https://doi.org/10.1016/s0012-9593(01)01085-0openalex-snapshot
Zero Mach number limit in critical spaces for compressible Navier–Stokes equations
inferredcites →https://doi.org/10.1016/s0021-7824(98)80139-6openalex-snapshot
Incompressible limit for a viscous compressible fluid
inferredcites →https://doi.org/10.1016/s0294-1449(00)00123-2openalex-snapshot
Incompressible, inviscid limit of the compressible Navier–Stokes system
inferredcites →https://doi.org/10.1016/s1874-5717(07)80006-5openalex-snapshot
Examples of Singular Limits in Hydrodynamics
inferredcites →https://doi.org/10.1017/s0308210509001632openalex-snapshot
Optimal decay rate of classical solutions to the compressible magnetohydrodynamic equations
inferredcites →https://doi.org/10.1070/sm1972v016n04abeh001438openalex-snapshot
ON THE CAUCHY PROBLEM FOR COMPOSITE SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS
inferredcites →https://doi.org/10.1080/03605300008821529openalex-snapshot
convergence of the vlasov-poisson system to the incompressible euler equations
inferredcites →https://doi.org/10.1098/rspa.1999.0403openalex-snapshot
Low Mach number limit of viscous compressible flows in the whole space
inferredcites →https://doi.org/10.1119/1.1937882openalex-snapshot
Electrodynamics of Continuous Media
inferredcites →https://doi.org/10.1137/080723983openalex-snapshot
Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
inferredcites →https://doi.org/10.1137/100785168openalex-snapshot
Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients
inferredcites →https://doi.org/10.1142/s0218202502002173openalex-snapshot
ON THE INVISCID AND NON-RESISTIVE LIMIT FOR THE EQUATIONS OF INCOMPRESSIBLE MAGNETOHYDRODYNAMICS
inferredcites →https://doi.org/10.1142/s0218202509003644openalex-snapshot
GLOBAL WEAK SOLUTIONS OF AN INITIAL BOUNDARY VALUE PROBLEM FOR SCREW PINCHES IN PLASMA PHYSICS
inferredcites →https://doi.org/10.1215/kjm/1250517679openalex-snapshot
A remark on smooth solutions of the weakly compressible periodic Navier-Stokes equations
inferredcites →https://doi.org/10.1353/ajm.2002.0036openalex-snapshot
Zero Mach number limit for compressible flows with periodic boundary conditions
inferredcites →https://doi.org/10.3934/dcds.2009.25.575openalex-snapshot
BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Low Mach number limit of the compressible magnetohydrodynamic equations with zero thermal conductivity coefficient
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Approximation of the incompressible non‐Newtonian fluid equations by the artificial compressibility method
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Blow‐up criterion for 3D viscous‐resistive compressible magnetohydrodynamic equations
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Strong solutions to an Oldroyd‐B model with slip boundary conditions via incompressible limit
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The low Mach number limit in Besov spaces for compressible magnetohydrodynamics equations
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Zero Mach number limit to compressible quantum magnetohydrodynamic equations with vanishing viscosity coefficients
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Global well‐posedness for the compressible magnetohydrodynamic system in the critical Lp framework
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Singular limit of planar magnetohydrodynamic equations with vacuum free boundary
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Stability near equilibrium to the full compressible magnetohydrodynamic equations
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A High Order Semi-implicit Scheme for Ideal Magnetohydrodynamics
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Fluid Flow Modeling
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Acoustic Analogies
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Appendix
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Bibliographical Remarks
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Weak Solutions, A Priori Estimates
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Existence Theory
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Asymptotic Analysis: An Introduction
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Singular Limits: Low Stratification
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Stratified Fluids
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Interaction of Acoustic Waves with Boundary
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Problems on Large Domains
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Vanishing Dissipation Limits
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Incompressible Limit for the Compressible Flow of Liquid Crystals
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Asymptotic Limit for Rotational Compressible Magnetohydrodynamic Flows
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Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations
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On the Steady Flows of Viscous Compressible Magnetohydrodynamic Equations in an Infinite Horizontal Layer
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Approximation of the incompressible convective Brinkman–Forchheimer equations
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Asymptotics for singular limits via phase functions
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Global existence and the low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain with perfectly conducting boundary
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Global classical solutions of 3D isentropic compressible MHD with general initial data
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Zero Mach number limit of the compressible Hall-magnetohydrodynamic equations
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Incompressible limit of all-time solutions to 3-D full Navier–Stokes equations for perfect gas with well-prepared initial condition
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Global existence and incompressible limit in critical spaces for compressible flow of liquid crystals
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Asymptotic stability of stationary solutions for Hall magnetohydrodynamic equations
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Asymptotic behavior of solutions to an electromagnetic fluid model
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Global strong solution to the Cauchy problem of 1D compressible MHD equations with large initial data and vacuum
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Incompressible inviscid limit of the viscous two-fluid model with general initial data
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Asymptotic limit of compressible Hall-magnetohydrodynamic model with quantum effects
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Global strong solution to 3D full compressible magnetohydrodynamic flows with vacuum at infinity
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Derivation of Inviscid Quasi-geostrophic Equation from Rotational Compressible Magnetohydrodynamic Flows
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Incompressible Limit of the Ericksen–Leslie Parabolic–Hyperbolic Liquid Crystal Model
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Large data existence result for the steady full compressible magnetohydrodynamic flows in three dimensional
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Uniform Regularity for the Isentropic Compressible Magnetohydrodynamic System
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Incompressible Limit of the Compressible Q-tensor System of Liquid Crystals
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Convergence of the Two-Species Vlasov-Poisson System to the Pressureless Euler Equations
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Low Mach Number Limit for the Full Compressible Magnetohydrodynamic Equations Without Thermal Conductivity
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Incompressible limit of ideal magnetohydrodynamics in a domain with boundaries
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Vanishing viscosity limit of a parabolic-elliptic coupled system
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High Order Structure-Preserving Finite Difference WENO Schemes for MHD Equations with Gravitation in all Sonic Mach Numbers
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The zero Mach number limit of the three-dimensional compressible viscous magnetohydrodynamic equations
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Asymptotic limit of the Gross-Pitaevskii equation with general initial data
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Small Alfvén number limit for incompressible magneto-hydrodynamics in a domain with boundaries
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The low Mach number limit of non-isentropic magnetohydrodynamic equations with large temperature variations in bounded domains
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Pointwise estimate of solutions to the three-dimensional compressible magnetohydrodynamic equations
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The Asymptotic Stability of the Solution to the Full Hall-MHD System in $$\mathbb {R}^3$$R3
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Convergence of the compressible magnetohydrodynamic equations to incompressible magnetohydrodynamic equations
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Global weak solutions of 3D compressible MHD with discontinuous initial data and vacuum
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Low Mach number limit of full Navier–Stokes equations in a 3D bounded domain
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Stability of stationary solution for the compressible viscous magnetohydrodynamic equations with large potential force in bounded domain
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Incompressible limit of the degenerate quantum compressible Navier–Stokes equations with general initial data
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Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions
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Global well-posedness and exponential decay rates of the strong solutions to the two-dimensional full compressible magnetohydrodynamics equations with vacuum in some class of large initial data
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Incompressible limit of all-time solutions to isentropic Navier-Stokes equations with ill-prepared data in bounded domains
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On the stationary magneto-convective motion of compressible full MHD equations in an infinite horizontal layer
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Conditions for uniform regularity of compressible MHD system in small Alfvén and Mach numbers with tangential magnetic fields to the physical boundary
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Incompressible and non-resistive limits of strong solutions to full compressible magnetohydrodynamic equations in bounded domains
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Incompressible limit of the compressible nematic liquid crystal flow
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Existence and uniqueness of steady solutions to the magnetohydrodynamic equations of compressible flows
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Low Mach number limit of the full compressible Navier–Stokes–Maxwell system
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Incompressible limit of global strong solutions to 3-D barotropic Navier–Stokes equations with well-prepared initial data and Navier's slip boundary conditions
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Incompressible limit of full compressible magnetohydrodynamic equations with well-prepared data in 3-D bounded domains
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Large time behavior of the compressible magnetohydrodynamic equations with Coulomb force
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Vanishing capillarity limit of the compressible non-isentropic Navier–Stokes–Korteweg system to Navier–Stokes system
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Global existence and large time behavior of solutions for compressible quantum magnetohydrodynamics flows in T3
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Asymptotic limit of non-isentropic compressible magnetohydrodynamic equations for rotating completely ionized gases
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Low Mach number limit of Navier-Stokes equations with large temperature variations in bounded domains
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Low Mach number limit of non-isentropic magnetohydrodynamic equations in a bounded domain
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Long-time behavior of solution to the compressible magnetohydrodynamic equations
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The incompressible limit for compressible MHD equations in Lp type critical spaces
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Well-posedness to the compressible viscous magnetohydrodynamic system
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A blow-up criterion for 3D non-resistive compressible magnetohydrodynamic equations with initial vacuum
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Optimal decay rates of the compressible magnetohydrodynamic equations
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Low Mach number limit of the full compressible Hall-magnetohydrodynamic equation with general initial data
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Asymptotic limits of dissipative turbulent solutions to a compressible two-fluid model
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Incompressible limit of the compressible magnetohydrodynamic equations with ill-prepared data in a perfectly conducting container
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Non-isentropic rotating compressible fluids under strong stratification
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A blow-up criterion for 3-D non-resistive compressible heat-conductive magnetohydrodynamic equations with initial vacuum
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Incompressible limit of the non-isentropic magnetohydrodynamic equations in bounded domains
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Convergence from an electromagnetic fluid system to the full compressible MHD equations
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Global wellposedness of magnetohydrodynamics system with temperature-dependent viscosity
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Vanishing limit for the three-dimensional incompressible Phan-Thien–Tanner system
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Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics
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Asymptotic behavior of two-dimensional stochastic magneto-hydrodynamics equations with additive noises
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Global strong solutions to the 1-D compressible magnetohydrodynamic equations with zero resistivity
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Incompressible limit of isentropic magnetohydrodynamic equations with ill-prepared data in bounded domains
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Incompressible limit of global solutions to the compressible magnetohydrodynamics equations for large initial data in critical Besov spaces
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Long time existence and incompressible limit for non-isentropic slightly compressible magnetohydrodynamic equations in bounded domains
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Incompressible limit of nonisentropic ideal magnetohydrodynamic equations with periodic boundary conditions
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Low Mach number limit for the multi-dimensional full magnetohydrodynamic equations
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Rigorous derivation of the compressible magnetohydrodynamic equations from the electromagnetic fluid system
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A regularity result for the incompressible magnetohydrodynamics equations with free surface boundary
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On Global and Decay Solution of Viscous Compressible MHD Equations
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Zero‐Mach Limit of the Viscous Compressible Magnetohydrodynamic Flows Inside a Perfectly Conducting Wall for All Time
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Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients
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Incompressible Limit of Viscous Liquid-Gas Two-Phase Flow Model
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Global Classical Solutions to 3D Compressible Magnetohydrodynamic Equations with Large Oscillations and Vacuum
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Asymptotic Limits of the Full Compressible Magnetohydrodynamic Equations
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Low Mach and Low Froude Number Limit for Vacuum Free Boundary Problem of All-time Classical Solutions of one-dimensional Compressible Navier--Stokes Equations
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Incompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic Equations
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Incompressible Limit of Ideal Magnetohydrodynamic Equations with a Perfectly Conducting Wall Condition
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A BLOW-UP CRITERION FOR 3D COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS WITH VACUUM
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Large-time behavior of strong solutions to the compressible magnetohydrodynamic system in the critical framework
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Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows
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Large-time behavior of the strong solution to nonhomogeneous incompressible MHD system with general initial data
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Approximation of the 2D incompressible electrohydrodynamics system by the artificial compressibility method
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Inhomogeneous boundary value problems for steady compressible magnetohydrodynamic equations
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On steady state of viscous compressible heat conducting full magnetohydrodynamic equations
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Anelastic Approximation of Compressible Isentropic Navier-Stokes Equations with Exterior Force
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Low Mach number and non-resistive limit of magnetohydrodynamic equations with large temperature variations in general bounded domains
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Incompressible inviscid limit for the full magnetohydrodynamic flows on expanding domains
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Conditions for Uniform Regularity of Compressible Mhd
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INCOMPRESSIBLE LIMIT OF STRONG SOLUTIONS TO THE DIFFUSE INTERFACE MODEL FOR TWO-PHASE FLOWS
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Inviscid incompressible limit for the strong stratified flow of a chemically reacting gaseous mixture
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On weak-strong uniqueness property for full compressible magnetohydrodynamics flows
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Dissipative measure-valued solutions to the magnetohydrodynamic equations
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Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system inunbounded domains
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Existence of weak solutions to the three-dimensional density-dependent generalized incompressible magnetohydrodynamic flows
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Asymptotic stability of stationary solutions for magnetohydrodynamic equations
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Low Mach number limit for the compressible magnetohydrodynamic equations in a periodic domain
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Low Mach number limit for the compressible inertial Qian-Sheng model of liquid crystals: Convergence for classical solutions
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Low Mach number limit of strong solutions for 3-D full compressible MHD equations with Dirichlet boundary condition
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Convergence rate of fully compressible Navier-Stokes equations in three-dimensional bounded domains
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Low mach number limit of all-time solutions to full Navier-Stokes equations with ill-prepared data in bounded domains
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Convergence of the compressible isentropic magnetohydrodynamic equations to the incompressible magnetohydrodynamic equations in critical spaces
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Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces
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Analytical solution and asymptotic limit to one-dimensional compressible magnetohydrodynamic equations without magnetic diffusion
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Global existence and low Mach number limit to the 3D compressible magnetohydrodynamic equations in a bounded domain
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Incompressible Limit of Nonisentropic Ideal Magnetohydrodynamic Flows with General Initial Data
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Incompressible Limit of the Oldroyd-B Model with Density-Dependent Viscosity
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Low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain for all time
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Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity
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On weak-strong uniqueness property for the full compressible magnetohydrodynamics flows
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Incompressible limit of strong solutions to 3-D Navier-Stokes equations with Navier's slip boundary condition for all time
inferred← citeshttps://doi.org/10.48550/arxiv.1503.03143openalex-snapshot
Global classical solution to 3D compressible magnetohydrodynamic equations with large initial data and vacuum
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Large time behavior of strong solutions to the compressible magnetohydrodynamic system in the critical $L^{p}$ framework
inferred← citeshttps://doi.org/10.48550/arxiv.1807.05510openalex-snapshot
Inviscid, incompressible and semiclassical limits of Quantum Navier-Stokes equation
inferred← citeshttps://doi.org/10.48550/arxiv.1911.04928openalex-snapshot
A priori Estimates for the Free-Boundary problem of Compressible Resistive MHD Equations and Incompressible Limit
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Low Mach and low Froude number limit for vacuum free boundary problem of all-time classical solutions of 1-D compressible Navier-Stokes equations
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Martingale solutions for the compressible MHD systems with stochastic external forces
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