Basma Jaffal-moutarda

@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}

}