Department of Mathematics & Statistics
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Mathematics

Seminars 2015-2016 | Seminars 2014-2015 | Seminars 2013-2014 |Seminars 2012-2013 | Conferences | Workshops

November 28th, 2012, 10:00 a.m., Science Conference Room.
Title: The restriction of Spin^c spinors to surfaces and geometric applications
Speaker: Dr. Roger Nakad (NDU - Louaize, Lebanon)
Abstract: The aim of this talk is to characterize, via the restriction of Spinc spinors, surfaces in some 3-dimensional manifolds. As application, we give an elementary proof of a generalized Lawson correspondence for constant mean curvature surfaces in Thurston geometries.

December 19th, 2012, 10:00 a.m., Science Conference Room.
Title: Traffic theory for travel time estimation
Speaker: Dr. Rémi Hage (NDU - Louaize, Lebanon)
Abstract: Travel time is the time required to traverse a route between any two points of interest.
This information is an important parameter that can be used to identify and assess operational problems as well to measure the effectiveness of transportation systems. Travel times in excess (delay) causes indirect costs to drivers in terms of lost time, discomfort and frustration, and a direct cost in terms of fuel consumption. An excessive delay reflects the inefficiency of the system performance.
Travel time information is easy to be perceived by users and has the potential to reduce congestion on both temporal and spatial scales. By reducing congestion, it provides traffic flow that reduces vehicle emissions and energy consumption, global warning and greenhouse effect.
As a result, it maximizes the efficiency and capacity of the road network.
Travel time estimation has been an important research topic for decades. The aim of this talk is to introduce the traffic flow theory in order to estimate the travel time.

January 16th, 2013, 10:00 a.m., Science Conference Room.
Title: Nonsmooth Analsysis and Optimal Control
Speaker: Dr. Chadi Nour (LAU-Byblos, Lebanon)
Abstract: Nonsmooth Analysis concerns the local description of nondifferentiable functions and sets lacking smooth boundaries, in terms of generalizations of classical concepts of derivatives, normals and tangents. Since its appearance at the beginning of the Seventies, there has been a sustained and fruitful interplay between Nonsmooth Analysis and Optimal Control. A familiarity with Nonsmooth Analysis is, therefore, essential for an in-depth understanding of present day research in Optimal Control. The purpose of this talk is to give an introduction to Nonsmooth Analysis and to present some of its applications in Optimal Control.

February 2013 (canceled)
Speaker: Dr. Joseph Malkoun (Gottfried Wilhelm Leibniz Universität Hannover, Germany)

March 26th, 2013, 12:30 p.m., Science Conference Room.
Title: Eigenvalues of the Yamabe operator and geometric applications
Speaker: Safaa el Sayed (University of Tours, France)
Abstract: Let be a compact Riemannian manifold of dimension. In this talk, we give some properties of the eigenvalues of the Yamabe operator. In particular, we study the relationship between the sign of these eigenvalues and analytic, geometrical and topological properties of the manifold .

April 17th, 2013, 12 noon, Science Conference Room.
Title: Algebraic methods for solving matrix differential equations of arbitrary order
Speaker: Dr. Carole Bacha (LU, Lebanon) 
Abstract: In this talk, we present new algebraic methods for solving an important class of systems of linear differential equations of arbitrary order. Such systems appear in different fields of science such as chemistry, physics, fluid mechanics and control theory.
We are interested in the local analysis of linear differential systems near a singularity. We develop algorithms for the computation of their regular formal solutions. These algorithms are direct, i.e., do not reduce the system to another one of first-order and larger size. Our approaches use properties of matrix polynomials whose determinant plays the same role as indicial polynomials in the scalar case.

May 8th 2013, 12 noon, Science Conference Room.
Title: Mathematical Modeling of Atherosclerosis
Speaker: Dr. Nader El Khatib (LAU-Byblos, Lebanon)
Abstract: Atherosclerosis is an inflammatory disease which starts when low density lipoproteins (LDL) enter the intima of blood vessel where they are oxidized (ox-LDL). The ox-LDL is considered as a dangerous agent by the immune system provoking an anti-inflammatory response. This immune response triggers the recruitment of monocytes into the intima where they differentiate into macrophages and foam cells. The latter amplifies the production of inflammatory cytokines and further recruitment of monocytes. This auto-amplified process is compensated by the secretion of anti-inflammatory cytokines (biochemical anti-inflammation) and triggers the migration of smooth muscle cells to form a fibrous cap that covers the lipid core. This fibrous cap with the lipid core is called atherosclerosis plaque. It changes the geometry of the blood vessel by narrowing it and interacts with the blood flow. This interaction may have dangerous consequences related to the plaque rupture or to the formation of blood clot. The talk is devoted to the mathematical modeling, analysis and numerical simulations of these phenomena.