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Mohamad Hassan Darwich

Assistant professor
Mathematics department - Section I - Hadath
Speciality: Mathematics
Specific Speciality: EDP dispersifs

Teaching 4 Taught Courses
(2014-2015) Math 101 - Linear Algebra I (Matrix Algebra)

BS Mathematics

(2014-2015) Math 171 - Mathematics (analysis)

BS Earth and life sciences

(2014-2015) Math 105 - Integral Calculus

BS Mathematics

(2014-2015) Math 209 - Metric Topology II and complex analysis

BS Mathematics

Education
2001 - 2004: baccalauréat

Hossein Ali Nasser

good

Publications 6 publications
Mohamad Darwich On the L2-critical nonlinear Schrodinger equation with an inhomogeneous damping term 2017

We consider the L2-critical nonlinear Schrodinger equation with an inhomogeneous damping term. We prove that there exists an initial data such that the corresponding solution is global in H^1(R^d) and we give the minimal time of the blow up for some initial data.

Mohamad Darwich, Samer Israwi and Raafat Talhouk On the generalized nonlinear Camassa-Holm equation 2017

In this paper, a generalized nonlinear Camassa-Holm equation with time and space dependent coefficients is considered. We show that the control of the higher dispersive term is possible if we use an adequate weight function to define the energy. The existence and uniqueness of solutions are obtained using an energie estimate via picard iterative method.

Mohamad Darwich and Luc Molinet Some remarks on the nonlinear Schrödinger equation with fractional dissipation Journal of Mathematical Physics 57, 101502 (2016) 2016

We consider the Cauchy problem for the L2-critical focussing nonlinear Schrödinger equation with a fractional dissipation. According to the order of the fractional dissipation, we prove the global existence or the existence of finite time blowup dynamics with the log-log blow-up speed for ↑⏐∇u(t)↑⏐L2∇u(t)L2.

Mohamad Darwich On the $L^2$-critical nonlinear Schrödinger Equation with a nonlinear damping AIM siences 2014

We consider the Cauchy problem for the $L^2$-critical nonlinear Schrödinger equation with a nonlinear damping. According to the power of the damping term, we prove the global existence or the existence of finite time blowup dynamics with the log-log blow-up speed for $\|\nabla u(t)\|_{L^2}$.

Mohamad Darwich Blowup for the Damped L2-Critical Nonlinear Schrodinger Equation. Khayyam 2012

We consider the Cauchy problem for the L2-critical damped nonlinear Schrodinger equation. We prove existence and stability of nite time blowup dynamics with the log-log blow-up speed for \|u(t)\|_L2 .

Mohamad Darwich On the well-posedness for Kadomtsev–Petviashvili–Burgers I equation ELSEVIER 2012

We prove local and global well-posedness in Hs,0(R2), View the MathML source, for the Cauchy problem associated with the Kadomtsev–Petviashvili–Burgers I equation (KPBI) by working in Bourgainʼs type spaces. This result is almost sharp if one requires the flow-map to be smooth.

Languages
English

Full professional proficiency

French

Full professional proficiency