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Ibtissame Salhab Zaiter

Associate professor
Mathematics department - Section I - Hadath
Speciality: Mathematics
Specific Speciality: EDP
Interests: Lecture, sport, travel
Skills: teaching, researching, written.

Teaching 5 Taught Courses
(2014-2015) Math 171 - Mathematics (analysis)

BS Earth and life sciences

(2014-2015) Math 104 - Sequences and Series

BS Mathematics

(2014-2015) Math 407 - Partial differential equations

M1 Mathematics

(2014-2015) Math 201 - Metric Topology I

BS Mathematics

(2014-2015) Math 205 - Sequences and Series of Functions, Fourier Series

BS Mathematics

Education
2004 - 2007: Doctorat, PHD

Université Paris Sud
Partial Differential Equation

Très honorable

2003 - 2004: DEA

Université Paris Sud
Partial Differential Equation

Bien

1999 - 2003: Maitrise

Université Libanaise-Faculté de sciences I
Mathematics

Très bien

1998 - 1999: Baccalauréat Libanaise

Ecole publique de Hermel
Sciences de la vie

Bien-2nd in Bekaa

Publications 3 publications
ZAITER, Ibtissame Solitary waves of the two-dimensional Benjamin equation Advances in Differential Equations 2009

In this paper, we study the existence of solitary waves associated to the two-dimensional Benjamin equation. This equation governs the evolution of waves at the interface of a two-fluid system in which surface-tension effects cannot be ignored. We classify the existence and nonexistence cases according to the sign of the transverse dispersion coefficients. Moreover, we show that the solitary waves of the 2D Benjamin equation, when they exist, converge to those of the KPI equation as the parameter preceding the nonlocal operator H∂ 2 x goes to zero. We also prove the regularity of solitary waves, as well as their symmetry with respect to the transverse variable and their algebraic decay at infinity.

ZAITER, Ibtissame Remarks on the two-dimensional Benjamin equation Applied Mathematics Letters 2009

We generalize some recent results proved for the KP equation to the generalized Benjamin equation. First, we establish that the Cauchy problem cannot be solved by an iteration method. As a consequence, the flow map fails to be smooth. The second goal is to prove that the zero-mass constraint is satisfied at any non-zero time even it is not satisfied at the initial time.

ZAITER, Ibtissame Remarks on the Ostrovsky equation Differential and integral equations 2007

The main result of this paper concerns the limit of the solution of the Ostrovsky equation as the rotation parameter γ goes to zero. We are interested also in the ill-posedness of the Cauchy problem associated with this equation. First, using a compactness method, we show that the initial-value problem of Ostrovsky equation is locally well-posed in H s (R) for s>3/4 . The compactness method is essentially used to prove that the solution of the Ostrovsky equation converges to that of the Korteweg-de Vries equation, as γ tends to zero, locally in time, in H s (R) for s>3/4 . Thanks to some conservation laws and estimates, we will prove a persistence property of the solutions. Therefore, we show the convergence of the solutions in L ∞ loc (R,H s (R)) for s≥3/4 . In the case of positive dispersion, we gain a strong convergence in C(R,H 1 (R)) . The last section is devoted to studying the ill-posedness of the Cauchy problem associated with the Ostrovsky equation.

Languages
Arabic

Native or bilingual proficiency

English

Professional working proficiency

French

Native or bilingual proficiency