Well-posedness for the Incompressible Hall-MHD Equations in Low Regularity Spaces
Sign Up to like & getrecommendations! Published in 2018 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-018-1096-x
Abstract: In this paper, we first establish the local well-posedness of strong solutions to the Cauchy problem of the incompressible viscous resistive Hall-MHD equations in $$H^s(\mathbb {R}^3)$$Hs(R3)$$(\frac{3}{2}< s\le \frac{5}{2})$$(32 read more here.
Keywords: well posedness; mhd equations; posedness incompressible; hall mhd ... See more keywords
On the Blow-Up Criterion for Incompressible Stokes–MHD Equations
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DOI: 10.1007/s00025-018-0874-x
Abstract: Our aim is to establish a blow-up criterion for the local strong solutions in terms of the gradient of the magnetic field only in $$\textit{BMO}$$BMO spaces. read more here.
Keywords: stokes mhd; criterion; blow criterion; mhd equations ... See more keywords
Liouville-type theorems for the 3D stationary Navier-Stokes, MHD and Hall-MHD equations
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124343
Abstract: Abstract In this paper, we consider the Liouville-type problem of the three dimensional stationary incompressible Navier-Stokes equations, and establish an improved Liouville-type result only under the condition that the L p norm of a velocity… read more here.
Keywords: mhd equations; mhd hall; liouville type; navier stokes ... See more keywords
Decay-in-time of the Highest-order Derivatives of Solutions for the Compressible Isentropic MHD Equations
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DOI: 10.1016/j.jmaa.2021.125273
Abstract: Abstract In this paper, we consider the large time behavior of the Cauchy problem for the three-dimensional isentropic compressible magnetohydrodynamic (MHD) equations. The global existence of smooth solutions for the 3D compressible MHD equations has… read more here.
Keywords: time; mhd; mhd equations; compressible mhd ... See more keywords
On Liouville-type theorems for the 2D stationary MHD equations
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DOI: 10.1088/1361-6544/ac3f8b
Abstract: We establish new Liouville-type theorems for the two-dimensional stationary magneto-hydrodynamic incompressible system assuming that the velocity and magnetic field have bounded Dirichlet integral. The key tool in our proof is observing that the stream function… read more here.
Keywords: stationary mhd; theorems stationary; type theorems; mhd equations ... See more keywords
Error Analysis of a PFEM Based on the Euler Semi-Implicit Scheme for the Unsteady MHD Equations
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DOI: 10.3390/e24101395
Abstract: In this article, we mainly consider a first order penalty finite element method (PFEM) for the 2D/3D unsteady incompressible magnetohydrodynamic (MHD) equations. The penalty method applies a penalty term to relax the constraint “∇·u=0”, which… read more here.
Keywords: euler semi; mhd equations; pfem; semi implicit ... See more keywords