activity
20152026
most citedOn -Laplacian reaction-diffusion problems with dynamical boundary conditions in perforated media

6 citations · 21 across the 20 of their papers we have counts for

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Showing 2025 · math.APShow all

10 papers · 2 filters

math.AP2025★ 1 cited

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…

math.AP2025★ 4 cited

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…

math.AP2025★ 3 cited

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…

math.AP2025

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…

math.AP2025

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…

math.AP2025

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…

math.AP2025

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…

math.AP2025

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…

math.AP2025

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…

math.AP2025

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…