A remark on the regularity for the 3D Navier-Stokes equations in terms of the two components of the velocity.
Regularity for 3D Navier-Stokes equations in terms of two components of the vorticity.
Quasi-geostrophic equations with initial data in Banach spaces of local measures.
A Note on Div-Curl Lemma
2000 Mathematics Subject Classification: 42B30, 46E35, 35B65. We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and which include as a particular case, the result of [3].
A regularity criterion for the Navier-Stokes equations in terms of the horizontal derivatives of the two velocity components.
A note on decomposition of the distribution on BMO space.
Uniqueness of weak solutions of the Navier-Stokes equations
Consider the Navier-Stokes equation with the initial data . Let and be two weak solutions with the same initial value . If satisfies the usual energy inequality and if where is the multiplier space, then we have .
A new regularity criterion for strong solutions to the Ericksen-Leslie system
A regularity criterion for strong solutions of the Ericksen-Leslie equations is established in terms of both the pressure and orientation field in homogeneous multiplier spaces.
A regularity criterion for 3D micropolar fluid flows in terms of one partial derivative of the velocity
We prove a regularity criterion for micropolar fluid flows in terms of one partial derivative of the velocity in a Morrey-Campanato space.
Logarithmically improved blow-up criterion for smooth solutions to the Leray--magnetohydrodynamic equations
In this paper, the Cauchy problem for the Leray--MHD model is investigated. We obtain the logarithmically improved blow-up criterion of smooth solutions for the Leray--MHD model in terms of the magnetic field only in the framework of homogeneous Besov space with negative index.
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