Basma Jaffal-moutarda

@article{jaffal-moutarda_3134,

title = {Convergence analysis of an efficient scheme for the steady state second grade fluid model},

author = {Basma Jaffal-Moutarda and Driss Yakoubi},

url = {https://doi.org/10.1016/j.cnsns.2024.108254},

year  = {2024},

date = {2024-11-01},

journal = {Communications In Nonlinear Science And Numerical Simulation},

volume = {138},

pages = {108254},

abstract = {We are interested in studying the stationary second grade fluid model in a bounded domain in R2. To approximate the solution of the continuous model, we propose a fully decoupled numerical scheme based on a splitting method combined with the use of the Grad-Div operator. This approach allows the complete decoupling of the three variables: velocity, pressure and vorticity. Each variable is computed using an iterative procedure, with the pressure step involving a simple L2-projection. We provide a proof of the convergence of the scheme to the continuous problem under smallness assumptions on the data. This theoretical analysis ensures the reliability of our method in approximating the behavior of the stationary second grade fluid model. Finally, we present several numerical tests to validate our approach. These tests illustrate the effectiveness and efficiency of our scheme in various scenarios, highlighting its potential applicability to a wide range of problems involving second grade fluids.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hamdache_3173,

title = {Time-periodic solutions to heated ferrofluid flow models},

author = {Kamel Hamdache and Djamila Hamroun and Basma Jaffal-Moutarda},

url = {https://doi.org/10.1112/jlms.12990},

year  = {2024},

date = {2024-10-01},

journal = {Journal Of The London Mathematical Society-Second Series},

volume = {110},

number = {4},

pages = {e12990},

abstract = {In this work, we prove the existence of time-periodic solutions to a model describing a ferrofluid flow heated from below. Navier-Stokes equations satisfied by the fluid velocity are coupled to the temperature equation and the magnetostatic equation satisfied by the magnetic potential. The magnetization is assumed to be parallel to the magnetic field and is given by a nonlinear magnetization law generalizing the Langevin law. The proof is based on a semi-Galerkin approximation and regularization methods together with the fixed point method.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{belhamadia_2366,

title = {Existence and uniqueness for a convective phase change model with temperature-dependent viscosity},

author = {Youssef Belhamadia and Jean Deteix and Basma Jaffal-Moutarda and Driss Yakoubi},

url = {https://www.sciencedirect.com/science/article/pii/S0022247X23005620?via%3Dihub},

year  = {2023},

date = {2023-11-01},

journal = {Journal Of Mathematical Analysis And Applications},

volume = {527},

number = {2},

pages = {127559},

abstract = {In this article, we consider a class of phase change model with temperature-dependent viscosity, convection and mixed boundary conditions on a bounded domain that reflect melting and solidification in a variety of real-world applications, such as metal casting and crystal growth. The mathematical model, which is based on the enthalpy formulation, takes into consideration the thermophysical differences between the liquid and solid states. The moving liquid-solid interface is explicitly fulfilled as the energy and momentum equations are solved over the full physical domain. Under particular assumptions, we derive various a priori estimates and prove well-posedness results. Numerical simulation of the model employed in the

paper is presented as an illustration of an example of a melting problem.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{jaffal-moutarda_1356,

title = {Global existence of the 3D rotating second grade fluid system},

author = {Basma Jaffal-Moutarda},

url = {https://content.iospress.com/articles/asymptotic-analysis/asy201644},

year  = {2021},

date = {2021-08-01},

journal = {Asymptotic Analysis},

volume = {124},

number = {3-4},

pages = {259-290},

abstract = {We consider the equations of a rotating incompressible non-Newtonian fluid flow of grade two in a three dimensional torus. We prove two different results of global existence of strong solutions. In the first case, we consider that the elasticity coefficient ? is arbitrary and we suppose that the third components of the vertical average of the initial data and of the forcing term are small compared to the horizontal components. In the second case, we consider a forcing term and initial data of arbitrary size but we restrict the size of ?. In both cases, we show that the limit system is composed of a linear system and a second grade fluid system with two variables and three components.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{hamdache_1785,

title = {Existence and uniqueness of solutions for the magnetohydrodynamic flow of a second grade fluid},

author = {Kamel Hamdache and Basma Jaffal-Moutarda},

url = {https://www.researchgate.net/publication/258804643_Existence_and_uniqueness_of_solutions_for_the_magnetohydrodynamic_flow_of_a_second_grade_fluid},

year  = {2012},

date = {2012-06-01},

journal = {Mathematical Methods In The Applied Sciences},

volume = {36},

number = {4},

pages = {478-496},

abstract = {In this work, we consider the flow of a second grade fluid in a conducting domain of R3 and in the presence of a magnetic field. When the initial data are of arbitrary size, we prove that the solution of the magnetohydrodynamics problem exists for a small time and is unique. We also show the global existence of solutions for small initial data.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}

@article{jaffal-moutarda_1784,

title = {Long-time asymptotics of the second grade fluid equations on R^2},

author = {Basma Jaffal-Moutarda},

url = {https://www.intlpress.com/site/pub/pages/journals/items/dpde/content/vols/0008/0003/a002/},

year  = {2011},

date = {2011-09-01},

journal = {Dynamics Of Partial Differential Equations},

volume = {8},

number = {3},

pages = {185-223},

abstract = {We study the large time behavior of solutions of the second grade fluid system in the space R². Using scaled variables and introducing several functionals in weighted Sobolev spaces, we prove that the solution of the second grade fluid equations converges to the Oseen vortex, if the initial data are small enough. We also give an estimate of the rate of convergence.},

keywords = {},

pubstate = {published},

tppubtype = {article}

}