Buscar
Mostrando ítems 1-10 de 17
Artículo
Unconditionally energy stable fully discrete schemes for a chemo-repulsion model
(American Mathematical Society, 2019-09)
This work is devoted to studying unconditionally energy stable and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: find u ≥ 0, the cell density, and v ≥ 0, the chemical ...
Artículo
On the regularity for the Laplace equation and the Stokes system
(Real Academia de Ciencias de Zaragoza, 2012)
The purpose of this work is to show a broad framework in which the theory of very weak solutions for the Dirichlet stationary problem for the Laplace and Stokes equations in bounded domains of Rn, n ≥ 2, could be developed. ...
Artículo
Weak solutions for an initial-boundary Q-Tensor problem related to liquid crystals
(Elsevier, 2015-01)
The coupled Navier-Stokes and Q-Tensor system is considered in a bounded three-dimensional domain under homogeneous Dirichlet boundary conditions for the velocity u and either nonhomogeneous Dirichlet or homogeneous Neumann ...
Artículo
Linear unconditional energy-stable splitting schemes for a phase-field model for nematic-isotropic flows with anchoring effects: L.U.E.S.S. SCHEMES FOR ISOTROPIC-NEMATIC FLOWS WITH ANCHORING EFFECTS
(Wiley, 2016-01-26)
Two-phase flows composed of fluids exhibiting different microscopic structure are an important class of engineering materials. The dynamics of these flows are determined by the coupling among three different length scales: ...
Artículo
Weak solutions for the Oseen system in 2D and when the given velocity is not sufficiently regular
(Elsevier, 2019-05-15)
The aim of this work is twofold: proving the existence of solution (u,π)∈H1(Ω)×L2(Ω) in bounded domains of R2 and the whole plane for the Oseen problem (O) for solenoidal vector fields v in L2(Ω), and analyzing the same ...
Artículo
Very weak solutions for the stationary Oseen and Navier–Stokes equations
(Elsevier, 2010)
We consider the stationary Oseen and Navier–Stokes equations in a bounded connected domain of class C1,1 of R3. Here we give a new and simpler proof of the existence of very weak solutions (u, q) ∈ Lp(Ω)×W−1,p(Ω) corresponding ...
Artículo
A uniqueness and regularity criterion for Q-tensor models with Neumann boundary conditions
(Ohio University Press, 2014-11)
We give a regularity criterion for a Q-tensor system modeling a nematic Liquid Crystal, under homogeneous Neumann boundary conditions for the tensor Q. Starting of a criterion only imposed on the velocity field u two results ...
Artículo
Weak time regularity and uniqueness for a Q-Tensor model
(Society for Industrial and Applied Mathematics, 2014)
The coupled Navier-Stokes and Q-Tensor system is one of the models used to describe the behavior of the nematic liquid crystals. The existence of weak solutions and a uniqueness criteria have been already studied (see [11] ...
Artículo
On the very weak solution for the Oseen and Navier-Stokes equations
(American Institute of Mathematical Sciences, 2010-06)
We study the existence of very weak solutions regularity for the Stokes, Oseen and NavierStokes system when non-smooth Dirichlet boundary data for the velocity are considered in domains of class C1,1. In the Navier-Stokes ...
Artículo
Very weak solutions for the stationary Stokes equations
(Elsevier, 2010-02)
The concept of very weak solution introduced by Giga [9] for the stationary Stokes equations has been intensively studied in the last years for the stationary Navier-Stokes equations. We give here a new and simpler proof ...