212 citations · 844 across the 50 of their papers we have counts for
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The hydrostatic limit of the Beris-Edwards system in dimension two
Xingyu Li, Marius Paicu, Arghir Zarnescu
We study the scaled anisotropic co-rotational Beris-Edwards system modeling the hydrodynamic motion of nematic liquid crystals in dimension two. We prove the global well-posedness…
On the motion of a large number of small rigid bodies in a viscous incompressible fluid
Eduard Feireisl, Arnab Roy, Arghir Zarnescu
We consider the motion of rigid bodies -- compact sets -- immersed in a viscous incompressib…
On the motion of a small rigid body in a viscous compressible fluid
Eduard Feireisl, Arnab Roy, Arghir Zarnescu
We consider the motion of a small rigid object immersed in a viscous compressible fluid in the 3-dimensional Eucleidean space. Assuming the object is a ball of a small radius $\var…
Uniform profile near the point defect of Landau-de Gennes model
Zhiyuan Geng, Arghir Zarnescu
For the Landau-de Gennes functional on 3D domains, \begin{equation*} I_{\varepsilon}(Q,Ω):=\int_Ω\left\{\frac{1}{2}|\nabla Q|^2+\frac{1}{\varepsilon^2}\left( -\frac{a^2}{2}\mathrm{…
On the motion of a nearly incompressible viscous fluid containing a small rigid body
Eduard Feireisl, Arnab Roy, Arghir Zarnescu
We consider the motion of a compressible viscous fluid containing a moving rigid body confined to a planar domain . The main result states that the influence of the b…