12 citations · 21 across the 9 of their papers we have counts for
11 papers
Unsteady non-Newtonian fluid flows with boundary conditions of friction type: the case of shear thinning fluids
Mahdi Boukrouche, Hanene Debbiche, Laetitia Paoli
Following the previous part of our study on unsteady non-New\-to\-nian fluid flows with boundary conditions of friction type we consider in this paper the case of pseudo-plastic (s…
Non-isothermal non-Newtonian flow problem with heat convection and Tresca's friction law
Mahdi Boukrouche, Hanene Debbiche, Laetitia Paoli
We consider an incompressible non-isothermal fluid flow with non-linear slip boundary conditions governed by Tresca's friction law. We assume that the stress tensor is given as $σ=…
A Heat Conduction Problem with Sources Depending on the Average of the Heat Flux on the Boundary
Mahdi Boukrouche, Domingo A. Tarzia
Motivated by the modeling of temperature regulation in some mediums, we consider the non-classical heat conduction equation in the domain $D=\mathbb{R}^{n-1}\times\br^{+}$ for whic…
A family of singular ordinary differential equations of third order with an integral boundary condition
Mahdi Boukrouche, Domingo A. Tarzia
We establish in this paper the equivalence between a Volterra integral equation of second kind and a singular ordinary differential equation of third order with two initial conditi…
Non-classical heat conduction problem with non local source
Mahdi Boukrouche, Domingo A. Tarzia
We consider the non-classical heat conduction equation, in the domain $D=\br^{n-1}\times\br^{+}$, for which the internal energy supply depends on an integral function in the time v…
Global existence for a 3D non-stationary Stokes flow with Coulomb's type friction boundary conditions
Mahdi Boukrouche, Laetitia Paoli
In this paper we study non stationary viscous incompressible fluid flows with nonlinear boundary slip conditions given by a subdifferential property of friction type. More precisel…
Unsteady 3D-Navier-Stokes System with Tresca's Friction Law
Mahdi Boukrouche, Imane Boussetouan, Laetitia Paoli
Motivated by extrusion problems, we consider a non-stationary incompress-ible 3D fluid flow with a non-constant (temperature dependent) viscosity, subjected to mixed boundary condi…
Convergence of Distributed Optimal Control Problems Governed by Elliptic Variational Inequalities
Mahdi Boukrouche, Domingo A. Tarzia
First, let be the unique solution of an elliptic variational inequality with source term . We establish, in the general case, the error estimate between $u_{3}(μ)=μu_{g_…
Asymptotic analysis of a micropolar fluid flow in a thin domain with a free and rough boundary
Mahdi Boukrouche, Laetitia Paoli
Motivated by lubrication problems, we consider a micropolar uid ow in a 2D domain with a rough and free boundary. We assume that the thickness and the roughness are both of order 0…
Convergence of optimal control problems governed by second kind parabolic variational inequalities
Mahdi Boukrouche, Domingo A. Tarzia
We consider a family of optimal control problems where the control variable is given by a boundary condition of Neumann type. This family is governed by parabolic variational inequ…
Existence, Uniqueness, and Convergence of optimal control problems associated with Parabolic variational inequalities of the second kind
Mahdi Boukrouche, Domingo A. Tarzia
Let the unique solution of a parabolic variational inequality of second kind, with a given . Using a regularization method, we prove, for all and , a mono…