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5 papers · 2 filters
Liouville type theorems for the steady axially symmetric Navier-Stokes and magnetohydrodynamic equations
Dongho Chae, Shangkun Weng
In this paper we study Liouville properties of smooth steady axially symmetric solutions of the Navier-Stokes equations. First, we provide another version of the Liouville theorem…
On the Boltzmann equation with the symmetric stable Levy process
Yong-Kum Cho
As for the spatially homogeneous Boltzmann equation of Maxwellian molecules with the fractional Fokker-Planck diffusion term, we consider the Cauchy problem for its Fourier-transfo…
On the Liouville theorem for weak Beltrami flows
Dongho Chae, Jörg Wolf
We study Beltrami flows in the setting of weak solution to the stationary Euler equations in . For this weak Beltrami flow we prove the regularity and the Liouville prope…
On partial regularity for the steady Hall magnetohydrodynamics system
Dongho Chae, Joerg Wolf
We study partial regularity of suitable weak solutions of the steady Hall magnetohydrodynamics equations in a domain . In particular we prove that the set of pos…
Remarks on the Liouville type problem in the stationary 3D Navier-Stokes equations
Dongho Chae
We study the Liouville type problem for the stationary 3D Navier-Stokes equations on . Specifically, we prove that if is a smooth solution to (NS) satisfying $ω={\rm…