Faculty

College / Department

Department of Mathematics and Statistics

Teaching areas

Applied Mathematics

Research areas

Stochastic Partial Differential Equations, Stochastic Hybrid Systems, Stochastic Controlled Systems and its Quantitative Properties, Fluid Dynamics under Markovian Structural and Environmental Perturbations

Education

PhD in Applied Mathematics, The University of Texas, Arlington, Texas, 1998

Professional experience

2013 - Present,Dean, College of Arts and Sciences, American University of Sharjah

2011- 2013, Professor & Head, Department of Mathematics and Statistics, American University of Sharjah

2006-2011, Associate Professor & Head, Department of Mathematics and Statistics, American University of Sharjah

2002-2005, Assistant Professor, Department of Mathematics and Statistics, American University of Sharjah

1999-2002, Assistant Professor, Department of Mathematics and Physics and Research Associate, Center of Excellence in Information Systems and Engineering Management, Tennessee State University, Nashville, TN

Memberships

The American Mathematical Society (AMS)

Contact

[email protected]

+971 6 515 2402

Dr. Mahmoud Anabtawi

Professor and Dean

PhD in Applied Mathematics, University of Texas at Arlington, USA

Mahmoud Anabtawi has taught graduate and undergraduate mathematics courses for more than 18 years at institutions such as the University of Texas at Arlington and Tennessee State University in the US, and AUS. His research interests are stochastic partial differential equations, stochastic hybrid systems, stochastic controlled systems and fluid dynamics. He was a participating scientist in two multimillion-dollar grants from the US National Science Foundation.

Publications

Mahmoud Anabtawi, “Practical Stability of Nonlinear Stochastic Hybrid Parabolic Systems of Ito-Type: Vector Lyapunov Functions Approach”, Journal of Nonlinear Analysis: Real World Applications. Volume 12, Issue 3, June 2011, Pages 1386-1400.

Mahmoud Anabtawi, “Lyapunov Functionals vs Lyapunov Functions for Various Types of Stability of Hybrid Stochastic Differential Equations”, Journal of Franklin Institute, Volume 348, Issue 7, September 2011, Pages 1738-1750.

M. J. Anabtawi, S. Sathananthan, “Ito-type Stochastic Parabolic Partial Differential Equations in Hilbert Spaces: Stability and Convergence Results Via Lyapunov-like Functions”, Journal of Stochastic Analysis and Applications, Volume 29, Issue 5, September 2011, pages 749-768

S. Sathananthan and Mahmoud Anabtawi, “Controllability and Practical Stabilization of Nonlinear Ito-Type Stochastic Controlled Systems, Communications in Applied Analysis-April 2009, Volume 13, Number 2, Pages 213-230

M. J. Anabtawi, S. Sathananthan, “Stability and Convergence Results for Ito-Type Parabolic Partial Differential Equations in Hilbert Spaces, Journal of Stochastic Analysis and Applications, Volume 27, Issue 4, 2009, Pages 671 – 693.

M.J. Anabtawi,”Almost Sure Convergence Result of Stochastic Parabolic Partial Differential Equations”, Journal of Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis, 77-88, Volume 15, Number 1, 2008

M.J. Anabtawi, S. Sathananthan, “Quantitative Analysis of Hybrid Parabolic Systems via Practical Stability” Journal of Nonlinear Analysis: Hybrid Systems 2, p980-992, 2008

M.J. Anabtawi, S. Khoury, “On the Generalized Falkner-Skan Equation Governing Boundary Layer Flow of FENE-P Fluid”, 1211-1215, Applied Mathematics Letters, 1211-1215, Volume 12, Issue 20, 2007

M.J. Anabtawi, S. Sathananthan, “Stochastic Hybrid Parabolic Systems under Jump Markovian Perturbations-I: Convergence and Stability via Lyapunov functionals”, Journal of Dynamic Systems and Applications 15 (2006) 269-286.

M.J. Aanbtawi, G.S. Ladde, “Dynamics of Fluids Flows under Markovian Structural Perturbations”, Journal of Mathematical and Computer Modeling 42(2005), 967-976

M.J. Anabtawi, S. Sathananthan, “Stochastic Parabolic Partial Differential Equations: Convergence and Stability”, Journal of Nonlinear Studies, Volume 11, No. 4, pages 585-602 2004.

M.J. Anabtawi, S. Sathananthan, “Stability and Convergence Via Lyapunov-likeFunctionals of Stochastic Parabolic Partial Differential Equations” Journal of Applied Mathematics and Computation, Volume 157, Issue 1, pages 201-218, September 2004

Awards and Honors

National Science Foundation Grant, “Center for System Science Research”, Tennessee State University, Sep. 1, 2002-Aug. 31, 2007, $5.00 Million, Grant No. HRD-9706268, Participating Scientist, Applied Mathematics

National Science Foundation Grant, “Center for System Science Research”, Tennessee State University, Sep. 1, 1999-Aug. 31, 2002, $5.00 Million, Participating Scientist

Consultant for the National Science Foundation Center of Excellence in Information Systems and Engineering Management, Tennessee State University, 1997-1998

AUS Faculty Research Grant, July - August 2003, and June - August 2004

Other creative/research

Member of the Editorial Board of the Journal of Stochastic Analysis and Applications, Taylor & Francis

Book Editor: A. Badawi, Mahmoud Anabtawi, David F. Anderson, and Saber Elaydi,"Mathematics Research at the Leading Edge," Nova Science, New York, U. S. A., (2005). (Proceedings of the UAE Math Day).