Add to ORKGWe study the n-dimensional magnetohydrodynamic-α (MHD-α) model in the whole space. Various regularity criteria are established with n ≤ 8, in this paper. As a corollary, the strong solution to this model exists glob-ally, as n ≤ 4. When n = 4, uniqueness of weak solutions is also proved
We prove existence, uniqueness, and higher-order global regularity of strong solutions to a particul...
We prove some regularity criteria for smooth solutions of the three-dimensional incompressible Hall-...
In this paper, similar to the incompressible Euler equation, we prove the propagation of the Gevrey ...
AbstractIn this paper we consider the regularity criteria for solutions to the 3D incompressible mag...
We study the regularity conditions for a weak solution to the incompressible 3D magnetohydrodynamic...
In this paper, the Cauchy problem for a Leray-α-MHD model is con-sidered for n = 2, 3. When n = 2, g...
The paper deals with the 3D incompressible MHD equations and aims at improving a regularity criterio...
AbstractWe present new interior regularity criteria for suitable weak solutions of the magnetohydrod...
AbstractIn this letter, we consider the three-dimensional magnetohydrodynamic (3D MHD) equations and...
AbstractThis paper studies the regularity of generalized magneto-hydrodynamics equation on the condi...
© 2017, Springer International Publishing AG. In this paper, we are concerned with the regularity cr...
We prove that any weak solution (u, b) of three-dimensional incompressible u is an element of (0, T;...
In this brief note we study the n-dimensional magnetohydrodynamic equations with hyper-viscosity and...
AbstractIn this paper, we study the local behavior of the solutions to the three-dimensional magneto...
We give a description of a magnetohydrodynamical system in n dimension using the exterior derivative...
We prove existence, uniqueness, and higher-order global regularity of strong solutions to a particul...
We prove some regularity criteria for smooth solutions of the three-dimensional incompressible Hall-...
In this paper, similar to the incompressible Euler equation, we prove the propagation of the Gevrey ...
AbstractIn this paper we consider the regularity criteria for solutions to the 3D incompressible mag...
We study the regularity conditions for a weak solution to the incompressible 3D magnetohydrodynamic...
In this paper, the Cauchy problem for a Leray-α-MHD model is con-sidered for n = 2, 3. When n = 2, g...
The paper deals with the 3D incompressible MHD equations and aims at improving a regularity criterio...
AbstractWe present new interior regularity criteria for suitable weak solutions of the magnetohydrod...
AbstractIn this letter, we consider the three-dimensional magnetohydrodynamic (3D MHD) equations and...
AbstractThis paper studies the regularity of generalized magneto-hydrodynamics equation on the condi...
© 2017, Springer International Publishing AG. In this paper, we are concerned with the regularity cr...
We prove that any weak solution (u, b) of three-dimensional incompressible u is an element of (0, T;...
In this brief note we study the n-dimensional magnetohydrodynamic equations with hyper-viscosity and...
AbstractIn this paper, we study the local behavior of the solutions to the three-dimensional magneto...
We give a description of a magnetohydrodynamical system in n dimension using the exterior derivative...
We prove existence, uniqueness, and higher-order global regularity of strong solutions to a particul...
We prove some regularity criteria for smooth solutions of the three-dimensional incompressible Hall-...
In this paper, similar to the incompressible Euler equation, we prove the propagation of the Gevrey ...