6 citations · 21 across the 20 of their papers we have counts for
22 papers
Influence of the Reynolds number on non-Newtonian flow in thin porous media
Maria Anguiano, Matthieu Bonnivard, Francisco J. Suarez-Grau
We study the effect of the Reynolds number on the flow of a generalized Newtonian fluid through a thin porous medium in . This medium is a domain of thickness $\varep…
Navier slip effects in micropolar thin-film flow: a rigorous derivation of Reynolds-type models
María Anguiano, Igor Pažanin, Francisco J. Suárez-Grau
We study the stationary flow of incompressible micropolar fluid in a thin three-dimensional domain under Navier slip boundary condition for the velocity and no-spin condition for m…
On the effects of surface roughness in non-isothermal porous medium flow
María Anguiano, Igor Pažanin, Francisco J. Suárez-Grau
We analyze a non-isothermal Darcy-Brinkman thin-film flow with a periodically oscillating boundary and viscous dissipation acting as a heat source. Using asymptotic analysis and th…
Sharp pressure estimates for the Navier-Stokes system in thin porous media
María Anguiano, Francisco J. Suárez-Grau
A relevant problem for applications is to model the behavior of Newtonian fluids through thin porous media, which is a domain with small thickness and perforated by periodicall…
Modeling of a micropolar thin film flow with rapidly varying thickness and non-standard boundary conditions
María Anguiano, Francisco J. Suárez-Grau
In this paper, we study the asymptotic behavior of the micropolar fluid flow through a thin domain assuming zero Dirichlet boundary condition on the top boundary, which is rapidly…
Asymptotic analysis of the Navier-Stokes equations in a thin domain with power law slip boundary conditions
María Anguiano, Francisco J. Suárez-Grau
This theoretical study deals with the Navier-Stokes equations posed in a 3D thin domain with thickness , assuming power law slip boundary conditions, with an an…
Modeling of a non-Newtonian thin film passing a thin porous medium
María Anguiano, Francisco J. Suárez-Grau
This theoretical study deals with asymptotic behavior of a coupling between a thin film of fluid and an adjacent thin porous medium. We assume that the size of the microstructure o…
Modeling non-Newtonian fluids in a thin domain perforated with cylinders of small diameter
María Anguiano, Francisco J. Suárez-Grau
We consider the flow of a generalized Newtonian fluid through a thin porous medium of height perforated with -periodically distributed solid cylinders…
Darcy's law for micropolar fluid flow in a periodic thin porous medium
María Anguiano, Francisco J. Suárez-Grau
In this paper, we extend the Darcy law for micropolar fluid flow in a thin porous medium. This provides a framework for understanding how a fluid's microstructural properties, the…
Modeling Carreau fluid flows through a very thin porous medium
María Anguiano, Matthieu Bonnivard, Francisco J. Suárez-Grau
This study investigates three-dimensional, steady-state, and non-Newtonian flows within a very thin porous medium (VTPM). The medium is modeled as a domain confined between two par…
Two-dimensional Carreau law for a quasi-newtonian fluid flow through a thin domain with a slightly rough boundary
María Anguiano, Francisco J. Suárez-Grau
This study investigates the asymptotic behavior of the steady-state quasi-Newtonian Stokes flow with viscosity given by the Carreau law within a thin domain, focusing on the effect…
Mathematical modelling of a thin-film flow obeying Carreau's law without high-rate viscosity
María Anguiano, Francisco J. Suárez-Grau
In this paper, we derive an extension of the Reynolds law for quasi-Newtonian fluid flows through a thin domain with thickness with viscosity obeying the Carre…
Effective models for generalized Newtonian fluids through a thin porous medium following the Carreau law
Maria Anguiano, Matthieu Bonnivard, Francisco Javier Suarez-Grau
We consider the flow of a generalized Newtonian fluid through a thin porous medium of thickness , perforated by periodically distributed solid cylinders of size . We assume t…
On -Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media
María Anguiano
This paper deals with the homogenization of the -Laplacian reaction-diffusion problems in a domain containing periodically distributed holes of size , with a dynami…
Reaction-diffusion equation on thin porous media
María Anguiano
We consider a reaction-diffusion equation on a 3D thin porous media of thickness which is perforated by periodically distributed cylinders of size . On t…
Homogenization of parabolic problems with dynamical boundary conditions of reactive-diffusive type in perforated media
María Anguiano
This paper deals with the homogenization of the reaction-diffusion equations in a domain containing periodically distributed holes of size , with a dynamical boundary…
Homogenization of Bingham Flow in thin porous media
María Anguiano, Renata Bunoiu
By using dimension reduction and homogenization techniques, we study the steady flow of an incompresible viscoplastic Bingham fluid in a thin porous medium. A main feature of our s…
Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary
María Anguiano, Francisco J. Suárez-Grau
We consider a non-Newtonian fluid flow in a thin domain with thickness and an oscillating top boundary of period . The flow is described by the 3D inco…
Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
María Anguiano, Francisco J. Suárez-Grau
We consider the Stokes system in a thin porous medium of thickness which is perforated by periodically distributed solid cylinders of size $\varepsilo…
Existence, uniqueness and homogenization of nonlinear parabolic problems with dynamical boundary conditions in perforated media
María Anguiano
We consider a nonlinear parabolic problem with nonlinear dynamical boundary conditions of pure-reactive type in a media perforated by periodically distributed holes of size $\varep…
The -entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
Alain Haraux, María Anguiano
We prove an estimation of the Kolmogorov -entropy in H of the unitary ball in the space V, where H is a Hilbert space and V is a Sobolev-like subspace of H. Then, by means of Ze…
Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space
Mama Abdelli, María Anguiano, Alain Haraux
The initial value problem and global properties of solutions are studied for the vector equation: in a finite dimensional…