Marius Paicu
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Marius Paicu has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Arghir Zarnescu
Basque Center for Applied Mathematics, Mazarredo 14, E48009 Bilbao, Bizkaia, Spain
3 shared publications - Xingyu Li
Dipartimento di Matematica Università degli Studi di Trieste Informatica e Geoscienze Italy
3 shared publications - Francesco De Anna
Institute of Mathematics University of Würzburg
1 shared publication
Latest Publications
- Open Access
On hydrostatic limit of Beris-Edwards system in a thin strip
In this paper we consider the 3D co-rotational Beris-Edwards system modeling the hydrodynamic motion of nematic liquid crystals in a thin strip. The system contains the incompressible Navier-Stokes, coupled with a parabolic system for matrix-valued functions, the $Q$-tensors. We show that under a suitable scaling, corresponding, in the Navier-Stokes part, to the hydrostatic scaling, one obtains in the limit a partly decoupled system. For the fluid part we obtain the Prandtl system while for the $Q$-tensors we obtain a non-standard system, involving fluids components and a non-standard combination of partly dissipative equations and algebraic constraints. We prove the convergence of the rescaled system and the well-posedness of the limit in Sobolev spaces.
Open AccessOn hydrostatic limit of Beris-Edwards system in a thin strip
In this paper we consider the 3D co-rotational Beris-Edwards system modeling the hydrodynamic motion of nematic liquid crystals in a thin strip. The system contains the incompressible Navier-Stokes, coupled with a parabolic system for matrix-valued functions, the $Q$-tensors. We show that under a suitable scaling, corresponding, in the Navier-Stokes part, to the hydrostatic scaling, one obtains in the limit a partly decoupled system. For the fluid part we obtain the Prandtl system while for the $Q$-tensors we obtain a non-standard system, involving fluids components and a non-standard combination of partly dissipative equations and algebraic constraints. We prove the convergence of the rescaled system and the well-posedness of the limit in Sobolev spaces.
- 1 January 2024
- Published by International Press of Boston in Communications in Mathematical Sciences
- Vol. 22 (6) , 1701-1732
The hydrostatic limit of the Beris-Edwards system in dimension two
International Press of Boston - publishers of scholarly mathematical and scientific journals and books
- 1 January 2024
- Published by International Press of Boston in Communications in Mathematical Sciences
- Vol. 22 (6) , 1701-1732
The hydrostatic limit of the Beris-Edwards system in dimension two
International Press of Boston - publishers of scholarly mathematical and scientific journals and books
- Open Access
The hydrostatic limit of the Beris-Edwards system in dimension two
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 with small analytic data in a thin strip domain. Moreover, we justify the limit to a system involving the hydrostatic Navier-Stokes system with analytic data and prove the convergence.
Open AccessThe hydrostatic limit of the Beris-Edwards system in dimension two
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 with small analytic data in a thin strip domain. Moreover, we justify the limit to a system involving the hydrostatic Navier-Stokes system with analytic data and prove the convergence.