5 papers
Weak Reproductive Solutions for a Convection-Diffusion Model Describing a Binary Alloy Solidification Processes
Blanca Climent-Ezquerra, Mario Durán, Elva Ortega-Torres +1
We study the existence of reproductive weak solutions for a system of equations describing a solidification process of a binary alloy confined into a bounded and regular domain in…
An Analysis of the Evolution Equations for a Generalized Bioconvective Flow
J. L. Boldrini, B. Climent-Ezquerra, M. A. Rojas-Medar +1
We prove results on existence and uniqueness of solutions of a system of equations modeling the evolution of a generalized bioconvective flow. The mathematical model considered in…
On the regularity of weak solution for the Oberbeck-Boussinesq equations
Blanca Climent-Ezquerra, Elva Ortega-Torres, Marco Rojas-Medar
We prove new regularity criteria of the Prodi-Serrin type with weak Lebesgue integrability in both space and time for a viscous active chemical fluid in a bounded domain.
Convergence to equilibrium of global weak solutions for a Q-tensor problem related to liquid crystals
Blanca Climent-Ezquerra, Francisco Guillén-González
We study a Q-tensor problem modeling the dynamic of nematic liquid crystals in 3D domains. The system consists of the Navier-Stokes equations, with an extra stress tensor depending…
Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model
Blanca Climent-Ezquerra, Francisco Guillén-González
In this paper, we introduce a model describing the dynamic of vesicle membranes within an incompressible viscous fluid in domains. The system consists of the Navier-Stokes equ…