Je suis enseignante-chercheuse en Mathématiques à l'ESILV, membre du Modeling Group. J'ai soutenu ma thèse de doctorat, Dynamique des fluides de grade deux, en Décembre 2010 au Laboratoire de Mathématiques d'Orsay, de l'université Paris-Saclay. Ma directrice de thèse était Geneviève Raugel. Mon domaine de recherche se situe dans l'analyse des équations aux dérivées partielles issues de la mécanique des fluides. Je m'intéresse aux problèmes d'existence et de comportement asymptotique en temps long de solutions.
Basma Jaffal-Moutarda
Global existence of the 3D rotating second grade fluid system Article de journal
Dans: Asymptotic Analysis, vol. 124, no. 3-4, p. 259-290, 2021.
@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}
}
Kamel Hamdache; Basma Jaffal-Moutarda
Existence and uniqueness of solutions for the magnetohydrodynamic flow of a second grade fluid Article de journal
Dans: Mathematical Methods In The Applied Sciences, vol. 36, no. 4, p. 478-496, 2012.
@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}
}
Basma Jaffal-Moutarda
Long-time asymptotics of the second grade fluid equations on R^2 Article de journal
Dans: Dynamics Of Partial Differential Equations, vol. 8, no. 3, p. 185-223, 2011.
@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}
}
Basma Jaffal-Moutarda
Dynamique des fluides de grade deux Thèse
Université Paris-Saclay, Faculté des sciences d'Orsay, 2010.
@phdthesis{jaffal-moutarda_1786,
title = {Dynamique des fluides de grade deux},
author = {Basma Jaffal-Moutarda},
url = {https://tel.archives-ouvertes.fr/tel-00640385},
year = {2010},
date = {2010-12-01},
address = {Bâtiment 307, rue Michel Magat, Faculté des Sciences d'Orsay, Université Paris-Saclay F-91405 Orsay Cedex},
school = {Université Paris-Saclay, Faculté des sciences d'Orsay},
keywords = {},
pubstate = {published},
tppubtype = {phdthesis}
}
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