Found 70 Documents (Results 1–70)
Global solutions of two-dimensional inviscid and resistive magnetohydrodynamics system near an equilibrium. (English) Zbl 07869403
Global well-posedness of the inhomogeneous incompressible ideal MHD near equilibrium. (English) Zbl 1542.35307
Asymptotic stability of Couette flow in a strong uniform magnetic field for the Euler-MHD system. (English) Zbl 07855934
Stability threshold of the 2D Couette flow in a homogeneous magnetic field using symmetric variables. (English) Zbl 1536.35264
Unilateral rigidity from infinity for nonlinear Alfvén waves in ideal magnetohydrodynamics. (English) Zbl 1538.76218
Inverse scattering of Alfvén waves in three dimensional ideal magnetohydrodynamics. (English) Zbl 1532.35532
The 2D magnetohydrodynamic system with Euler-like velocity equation and partial magnetic diffusion. (English) Zbl 1529.35351
Stability of 2D inviscid MHD equations with only vertical magnetic diffusion on \(\mathbb{T}^2\). (English) Zbl 1531.76112
Mild ill-posedness for 2D magneto-micropolar fluid equations near a background magnetic field. (English) Zbl 1527.35312
Stabilization effects of magnetic field on a 2D anisotropic MHD system with partial dissipation. (English) Zbl 1527.35263
Global solutions to 3D incompressible MHD system with dissipation in only one direction. (English) Zbl 1527.35295
Stability for the 2D incompressible MHD equations with only magnetic diffusion. (English) Zbl 1529.35416
On magnetic inhibition theory in 3D non-resistive magnetohydrodynamic fluids: global existence of large solutions. (English) Zbl 1531.76105
Reviewer: Yongzhong Sun (Nanjing)
Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction. (English) Zbl 1514.35348
On the temporal decay for the 2D non-resistive incompressible MHD equations. (English) Zbl 1522.35418
Reviewer: Xuanji Jia (Hangzhou)
Stability for a system of 2D incompressible anisotropic magnetohydrodynamic equations. (English) Zbl 1514.35358
Stabilizing effect of the magnetic field and large-time behavior of 2D incompressible MHD system with vertical dissipation. (English) Zbl 1514.35347
Stability of the 3D incompressible Navier-Stokes equations with fractional horizontal dissipation. (English) Zbl 1511.35258
Global well-posedness for the compressible non-resistive MHD equations in a 3D infinite slab. (English) Zbl 1503.35191
Stability of hydrostatic equilibrium for the 2D BMHD system with partial dissipation. (English) Zbl 1497.35357
Global solutions of the three-dimensional incompressible ideal MHD equations with velocity damping in horizontally periodic domains. (English) Zbl 1506.76207
Global well-posedness of the inviscid heat-conductive resistive compressible MHD in a strip domain. (English) Zbl 1513.35465
Global well-posedness of 2D incompressible magnetohydrodynamic equations with horizontal dissipation. (English) Zbl 1504.35381
Global well-posedness for 2D non-resistive compressible MHD system in periodic domain. (English) Zbl 1496.35328
Stabilizing effect of magnetic field on the 2D ideal magnetohydrodynamic flow with mixed partial damping. (English) Zbl 1506.35165
Global well-posedness for the three-dimensional full compressible viscous non-resistive MHD system. (English) Zbl 1484.76091
Partial differential equations with quadratic nonlinearities viewed as matrix-valued optimal ballistic transport problems. (English) Zbl 1508.35051
Lagrangian regularity of the electron magnetohydrodynamics flow on a bounded domain. (English) Zbl 1508.35060
Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain. (English) Zbl 1489.35200
Reviewer: Roberta Bianchini (Roma)
Global exact controllability of ideal incompressible magnetohydrodynamic flows through a planar duct. (English) Zbl 1494.93020
Global solutions to the ideal MHD system with a strong magnetic background. (English) Zbl 1490.76250
Asymptotic behaviors of global solutions to the two-dimensional non-resistive MHD equations with large initial perturbations. (English) Zbl 1479.35668
Long-time behavior of Alfvén waves in a flowing plasma: generation of the magnetic island. (English) Zbl 1477.35186
Stabilizing phenomenon for 2D anisotropic magnetohydrodynamic system near a background magnetic field. (English) Zbl 1477.35169
Smoothing and stabilization effects of magnetic field on electrically conducting fluids. (English) Zbl 1458.35339
Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium. (English) Zbl 1455.35207
Sharp time decay rates of \(H^{1}\) weak solutions for the 2D MHD equations with linear damping velocity. (English) Zbl 1451.35027
Stabilization of a background magnetic field on a 2 dimensional magnetohydrodynamic flow. (English) Zbl 1450.35210
Stability of perturbations near a background magnetic field of the 2D incompressible MHD equations with mixed partial dissipation. (English) Zbl 1437.35581
On the ideal magnetohydrodynamics in three-dimensional thin domains: well-posedness and asymptotics. (English) Zbl 1435.35315
On global-in-time weak solutions to the magnetohydrodynamic system of compressible inviscid fluids. (English) Zbl 1425.35150
On the asymptotic stability of a stratified flow of the 2D non-resistive incompressible MHD equations. (English) Zbl 1433.35267
On the exponential stability of a stratified flow to the 2D ideal MHD equations with damping. (English) Zbl 1431.35122
Stability for a system of the 2D magnetohydrodynamic equations with partial dissipation. (English) Zbl 1417.35126
Global regularity of the 2D magnetohydrodynamic equations with fractional anisotropic dissipation. (English) Zbl 1412.35272
Large time behavior of solutions to 3-D MHD system with initial data near equilibrium. (English) Zbl 1414.35166
Asymptotic stability of equilibrium to 3-D MHD system. (English) Zbl 1405.35137
Danchin, Raphaël (ed.) et al., Mathematical analysis in fluid mechanics: selected recent results. International conference on vorticity, rotation and symmetry (IV) – complex fluids and the issue of regularity, CIRM, Luminy, Marseille, France, May 8–12, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3646-9/pbk; 978-1-4704-4807-3/ebook). Contemporary Mathematics 710, 85-103 (2018).
Global classical solutions of 2D MHD system with only magnetic diffusion on periodic domain. (English) Zbl 1395.76112
On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves. (English) Zbl 1398.35170
Global well-posedness of the incompressible magnetohydrodynamics. (English) Zbl 1397.35200
Reviewer: Vishnu Dutt Sharma (Mumbai)
Global well-posedness of an initial-boundary value problem for viscous non-resistive MHD systems. (English) Zbl 1387.35470
Global classical solutions of three dimensional viscous MHD system without magnetic diffusion on periodic boxes. (English) Zbl 1384.35100
Global well-posedness of the MHD equations in a homogeneous magnetic field. (English) Zbl 1368.76077
MSC:
76W05
On the local \(C^{1,\alpha}\) solution of ideal magneto-hydrodynamical equations. (English) Zbl 1360.35192
Global regularity to the 3D generalized MHD equations with large initial data. (English) Zbl 1364.35063
Global regularity to the 3D MHD equations with large initial data in bounded domains. (English) Zbl 1346.76215
Global existence and uniqueness theorem to 2-D incompressible non-resistive MHD system with non-equilibrium background magnetic field. (English) Zbl 1348.35207
Reviewer: Cheng He (Beijing)
Global smooth solutions of MHD equations with large data. (English) Zbl 1345.35103
Reviewer: Ruxandra Stavre (Bucureşti)
Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field. (English) Zbl 1333.35218
Global small solutions to a complex fluid model in three dimensional. (English) Zbl 1325.35167
Reviewer: Ruxandra Stavre (Bucureşti)
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