CURRICULUM VITAE
1. Personal Information:
Name: Nasser-eddine
Tatar
Address: King
Fahd University of Petroleum and Minerals
Dhahran, 31261
Tel.: 966 03
860 4654 (Office)
966 03 860 5072 (Home)
Fax: 966 03 860 2340
966 03 860 4654
Marital Status:
Married (three children)
Rank:
Associate Professor
Degree: PhD
Date:
September 2000
Major Field:
Applied Mathematics
2. Education:
From
|
To
|
Institution/Address |
Qualification |
Major/Subject |
Sept 79 |
June 83 |
|
Diploma of Higher Studies (D.E.S) |
Functional Analysis |
Nov 83 |
June 84 |
|
Certificate |
English |
Sept 84 |
June 86 |
|
Master of Science |
Harmonic Analysis |
Sept 97 |
Sept 00 |
University Badji Mokhtar, |
Doctorat d’Etat (Ph.D.) |
Partial Differential Equations |
3. Employment details:
Employed at
The
Maitre Assistant (Lecturer): Sept. 1986
to Sept. 1992
Chargé de Cours (Assistant Professor): From 1992 till June 2001
Maître de Conférence (Associate
Professor): June 2001 to
Sept. 2002
King Fahd University of Petroleum and
Minerals:
(Department
of Mathematical Sciences)
Assistant Professor: Sept. 2002 to
Nov. 2005
Associate Professor: since Nov.
2005
4. Teaching Experience:
Courses Taught:
A. Undergraduate:
- Calculus I, II and III
- Algebra and analysis
- Advanced calculus
- Hilbert space theory
-
Measure and integration
- Ordinary differential equations
- Partial differential equations
- Differential calculus
- Complex analysis
- Analytic geometry
- Numerical analysis
B. Graduate:
Option :
Partial differential equations and operator theory
Course : Partial
differential equations of parabolic type
C. Short Courses/Lecture Series:
-
Mathematics for Engineers (1986-1990), Centre de Formation d'Ingenieurs,
-
Formation pour Ingenieurs, 1988, Complexe Siderurgique d'El-Hadjar
-
Measure and Integration (1992-1995), Universite de nuit,
5. Research Interests:
Ordinary
differential equations
Partial
differential equations of parabolic type
Partial
differential equations of hyperbolic type
Partial
differential equations of mixed type
Integro-differential
equations
Fractional
differential equations
Inequalities
(algebraic and differential)
6. List of Publications (refereed journals):
1-
M. Kirane, S.
Kouachi and N.-e. Tatar: Non-existence of global solutions of some
quasi-linear hyperbolic equations with dynamic
boundary conditions, Mathematishe Nachrichten 176 (1995), 139-147.
2-
M. Kirane, M.
Guedda and N.-e. Tatar: Asymptotic behavior of solutions to a
diffusive Volterra equations, Comm. Appl. Analysis Vol. 1 , No. 1 (1997), 91-102.
3-
M. Kirane and N.-e. Tatar: A memory
type boundary stabilization of a mildly damped wave equation, Elect. J. Th.
Diff. Eqs. No. 6 (1999), 1-7.
4-
M. Kirane and
N.-e. Tatar: Global existence and
stability of some semilinear problems, Archivum Matematicum, Tomus 36 (2000), 1-12.
5- M. Kirane and N.-e. Tatar: Nonexistence results for a semilinear
hyperbolic problem with boundary condition of memory type, Zeit. Anal.
Anw., Vol. 19 No. 2 (2000), 1-16.
6- M. Kirane, J.
I. Kanel and N.-e. Tatar: Pointwise a priori bounds for a strongly
coupled system of reaction diffusion
equations, Inter. J.
Diff. Eqs. Appl., Vol. 1 No. 1 (2000), 77-97.
7- M. Kirane and N.-e.
Tatar: A nonexistence result to a
Cauchy problem in nonlinear one-dimensional thermoelasticity, J. Math. Anal. and Appl. 254 (2001), 71-86.
8- N.-e. Tatar: Exponential
decay for a semilinear integrodifferential problem , Arab J.
Math. Vol. 7 No. 1 (2001), 29-45.
9- M. Kirane and N.-e. Tatar: Rates of convergence for a reaction diffusion
system, Zeit. Anal. Anw. Vol. 20, No. 2
(2001), 347-357.
10- S. Mazouzi and N.-e. Tatar: Global existence for some integrodifferential
equations with delay subject to nonlocal conditions, Zeit. Anal.
Anw. Vol. 21, No. 1, (2002), 249-256.
11- S. Mazouzi and N.-e. Tatar: An improved exponential decay result for some
semilinear integrodifferential equations, Arch. Math. (
12- M. Kirane
and N.-e. Tatar: Exponential growth for a fractionally damped wave equation, Zeit. Anal. Anw.
Vol. 22, No. 1, (2003), 167-177.
13- N.-e.
Tatar: On a problem arising in
isothermal viscoelasticity, Int. J. Appl. Math. Vol. 8, No. 1 (2003), 1-12.
14- S. Messaoudi and N.-e. Tatar: Global existence and asymptotic behavior for a
nonlinear viscoelastic problem, Math. Sci. Res. J. Vol. 7 No. 4 (2003), 136-149.
15- N.-e. Tatar: A wave equation with
fractional damping, Zeit. Anal. Anw. Vol. 22, No. 3, (2003), 609-617.
16- N.-e.
Tatar: On an integral inequality with a kernel singular in time and space, J. Ineq. Pure
Appl. Math. Vol. 4 Issue 4, Article 82 (2003), 1-9.
17- N.-e. Tatar: Blow up for the wave
equation with a nonlinear dissipation of cubic
type in Rn, Appl. Math. Comp. Vol. 148 Issue 3 (2004), 759- 771.
18- M.
Kouche and N.-e. Tatar: Extinction and asymptotic behavior of
solutions to a system arising in biology, Zeit.
Anal. Anw. Vol. 23, No. 1, (2004), 17-38.
19- N.-e. Tatar: On the
wave equation with a dissipation and a source of cubic convolution type in Rn, Demonstratio Mathematica, Vol. 37 (2004).
20- N.-e. Tatar: The decay
rate for a fractional differential equation, J.
Math. Anal. Appl. 295 (2004), 303-314.
21- K.M.
Furati and N.-e. Tatar: An existence result for a nonlocal fractional
differential problem, J. Fract.
Calc. Vol. 26 (2004), 43-51.
22- N.-e. Tatar: Long time behavior for a viscoelastic problem with a
positive definite kernel, Australian
J. Math. Anal. Appl. Vol. 1 Issue 1, Article 5, (2004), 1-11.
23- K.M. Furati,
M. Kirane and N.-e. Tatar: Existence and asymptotic behavior for a
convection problem, Nonl. Anal.: TMA, Vol. 59, Issue 3, (2004), 407-424.
24- S. Labidi and
N.-e. Tatar: Unboundedness for
the Euler-Bernoulli beam equation with a fractional boundary dissipation, Appl. Math.
Comp. Vol. 161, Issue 3 (2005), 697-706.
25- S. Liu, M. Kouche and N.-e.
Tatar: Permanence, extinction and
global asymptotic stability in a stage structured system with distributed delays, J. Math. Anal. Appl., 301 (2005),
187-207.
26- N.-e.
Tatar: Asymptotic behavior for a nonlinear viscoelastic problem with a
velocity-dependent material density, Int. J. Math. Math. Sci., No. 10
(2005), 1497-1506.
27- M.R.
Alaimia and N.-e. Tatar: Blow up
for the wave equation with a fractional damping, Journal of Applied Analysis Vol.
11, No. 1 (2005), 133-144.
28- K.M. Furati and
N.-e. Tatar: Uniform boundedness
and stability for a viscoelastic problem, Appl. Math. Comp. Vol. 167 (2005), 1211-1220.
29- M. Medjden and N.-e. Tatar:
Asymptotic behavior for a viscoelastic
problem with not necessarily decreasing kernel, Appl. Math. Comp. Vol. 167 (2005), 1221-1235.
30- N.-e. Tatar: A blow up result for a
fractionally damped wave equation, Nonl. Diff. Eqs. Appl. (NoDEA)
Vol. 12, No. 2 (2005), 215-226.
31- K.M.
Furati and N.-e. Tatar: Behavior
of solutions for a weighted Cauchy-type fractional differential problem, J. Fract.
Calc. 28 (2005), 23-42.
32- M. Kirane, Y. Laskri and N.-e. Tatar: Critical exponents of Fujita type for certain
evolution equations and systems with spatio-temporal fractional derivatives, J. Math.
Anal. Appl. 312 (2005), No. 2, 488-501.
33- N.-e.
Tatar: The role of an integral inequality in the study of certain
differential equations, J. Ineq. Pure and Appl. Math. Vol. 6, Issue 5, 136
(2005), 1-13.
34- K.M. Furati and N.-e. Tatar: Power
type estimates for a nonlinear fractional differential equation,
Nonlinear Analysis T.M.A. 62 (2005), 1025-1036.
35- M. Kirane
and N.-e. Tatar: Nonexistence of
solutions to a hyperbolic equation with a time fractional damping, Zeitschrift
fur Analysis und ihre Anwendungen (J. Anal. Appl.) 25 (2006) 2, 131-142.
36- N.-e.
Tatar: An impulsive nonlinear singular version of the Gronwall-Bihari
inequality, Journal of Inequalities and
Applications, Vol. 2006, Article ID 8561 (2006), 1-12.
37- K.M. Furati and N.-e. Tatar:
Some fractional differential
inequalities and their applications.” Mathematical
Inequalities and Applications, Vol. 9, Issue 4 (2006), 577-598.
38- M. Kouche and
N.-e. Tatar: Existence and global
attractivity of a periodic solution to a nonautonomous dispersal system with
delays, Applied Mathematical Modelling, Vol. 31, Issue 4 (2007), 780-793.
39- S.
Messaoudi and N.-e. Tatar: Global
existence and uniform stability of solutions for a quasilinear viscoelastic
problem, Math. Meth. Appl. Sci. Vol. 30
(2007), 665-680.
40- M. Kirane
and N.-e. Tatar: Absence of local
and global solutions to an elliptic system with time-fractional dynamical
boundary conditions, Siberian Mathematical
Journal Vol. 48, No. 3 (2007), 477-488.
41- M. Medjden
and N.-e. Tatar: On the Wave
Equation with a Temporal Non-local Term, Dynamic
Systems and Applications Vol. 16 (2007), 665-672.
42- K.M.
Furati and N.-e. Tatar: Long time
behaviour for a nonlinear fractional
model, Journal of Mathematical Analysis and Applications, Vol. 332, Issue 1
(2007), 441-454.
43- S.
Messaoudi, B. Said-Houari and N.-e. Tatar: Global existence and asymptotic behavior for a
fractional differential equation, Appl. Math. Comput. Vol.
188 (2007), 1955-1962.
44- M. Kirane
and N.-e. Tatar: Nonexistence for
the
45-
S. Labidi and N.-e. Tatar: Breakdown for
a Kirchhoff type beam with a fractional boundary feedback, J. Dynamical and Control Systems, Vol. 14
No. 1 (2008), 71-94.
46- M.
Messaoudi and N.-e. Tatar: Exponential
and polynomial decay for a quasilinear viscoelastic equation, Nonlinear Analysis TMA, Vol. 68 Issue 4 (2008), 785-793.
47- S. Labidi
and N.-e. Tatar: Blow up for the
Euler-Bernoulli beam problem with a fractional boundary condition, Dynamic Systems and Applications 17 (2008), 109-120.
48- N.-e.
Tatar: Nonexistence results for a
fractional problem arising in thermal diffusion in fractal media, Chaos, Solitons and Fractals 36 (2008), 1205-1214.
49- M.
Messaoudi and N.-e. Tatar: Exponential decay for a quasilinear
viscoelastic equation, Accepted to appear in
Math. Nachr.
50- M.
Messaoudi and N.-e. Tatar: Uniform stabilization of solutions of a
nonlinear system of viscoelastic equations, Accepted
to appear in Applicable Analysis.
51- N.-e.
Tatar: Polynomial stability without polynomial decay of the relaxation
function, Accepted to appear in MMAS.
52- M.
Kouche, N.-e. Tatar and S. Liu: Permanence and existence of a positive periodic
solution to a periodic stage-structured system with infinite delay, Accepted to appear on AMC.
7. Attended Conferences (with presentations)
1-
''Existence et unicité de la solution de certaines équations aux dérivées
partielles d'ordre fractionnaire'', Conference Maghrébine sur les Equations
Différentielles et Applications, (CMEDA) Centre Universitaire de Jijel, Nov.
1998, Jijel
2-
''Stabilisation de l'équation des ondes avec des conditions aux bords du type
mémoire'', Congrès National de Mathématiques, Université de Annaba, Mai 1999,
3-
''Blowing up of solutions to the wave equation with nonlinear boundary
feedback'', Colloque National d'Analyse Non-linéaire et Applications, Univ.
Houari Boumédienne, Nov. 1999, Alger.
4-
''On the wave equation with an internal dissipation of fractional type'', 2nd
Colloque National Mathématiques Appliquées, 7-9 Mai 2000, Tébessa.
5-
''Le role d'une nouvelle inégalité dans l'étude de la stabilitéde certains
problèmes semi-linéaires'', Rencontre des Mathématiciens Algériens RMA 2000,
21-24 mai 2000, Alger.
6-
''Blow up in finite for an equation of fractional type'', 4ième CMEDA,
Conférence Maghrébine sur les Equations Différentielles et leurs Applications,
24-26 Octobre 2000, Sétif.
7-
''L'introduction de l'énergie infinie pour une plaque de Kirchhoff'', 2nd RAMA,
Rencontre d'Analyse Mathématiques et ses Applications, 19-21 Nov. 2000, M'sila.
8-
''On a semi-linear problem with memory'' 3ième CNAFA, Colloque National
d'Analyse Fonctionelle et Applications, 17-18 Avril 2001, Ouargla.
9-
“Asymptotic behavior of the wave equation with an internal fractional damping”,
International Conference on Mathematics and its Applications, April 5-7, 2004,
10-
“On a fractionally damped wave equation”, Applied Math. Day, King Fahd
University of Petroleum and Minerals,
11-
“Non-existence of global solutions for the wave equation with a dissipation of
cubic convolution type in Rn”,
International Conference on Nonlinear Operators, Differential Equations
and Applications, Cluj-Napoca, Romania,
August 24-27, 2004.
12-
“Fujita’s exponent for a fractional differential equation”, First Arab
Conference of Mathematics and its Applications,
13-
“Desingularizing with the help of an inequality”, International Conference on
Mathematical Inequalities and their Applications,
14-
“Global existence and asymptotic behavior for a nonlinear parabolic equation”,
Second International Conference on Mathematical Sciences, United Arab Emirates
University, December 12-14, 2004, Al-Ain, United Arab Emirates.
15- “life span for solutions
of the heat equation” , Applied Math. Day, King Fahd University of Petroleum
and Minerals,
16-
On the fractional telegraph equation,
Workshop on Special Functions and Applied Mathematics, King Abdulaziz city for
Science and Technology, April 17, 2006,
17- On a differential equation which interpolates the undamped and the damped
wave equation, University
of Marrakesh and Centre International de Formation et de Recherche en Systemes
Dynamiques, June 15-20, 2006, Marrakesh, Morroco.
18- Critical exponents for
the fractional telegraph equation, Differential Equations Research Lab,
Department of Mathematical Sciences, King Fahd University of Petroleum and
Minerals,
19- Elliptic problems with time-fractional dynamic boundary conditions,
Workshop on Partial Differential Equations in Modern Physics and Applied
Mathematics, King Abdulaziz city for Science and Technology, Feb. 13, 2007,
20-
Fractional derivatives and viscoelasticity, Third Saudi Science Conference,
King Saud University, March 10-13th March, 2007, Riyadh, Saudi
Arabia.
21- Stabilizing systems with fractional damping, The
Second Biannual Conference on Modeling, Simulation and Applied Optimization
ICMSAO 2007, The Petroleum Institute March 24-27, 2007, Abu-Dhabi, UAE.
22- On a new controller for a flexible structure,
Applied Math. Day, April 17, 2007, King Fahd University of Petroleum and
Minerals, Department of Mathematics and
23-
On the fractional telegraph problem, 6th International Congress on
Industrial and Applied Mathematics, 16-20 July 2007,
24-
Fractional dissipations in the damping technology, International Symposium on
Nonlinear Dynamics, 27-30, 2007, Shanghai, China.
25-
Singular and non-summable kernels in viscoelasticity, The Third International
Conference on Mathematical Sciences (ICM 2008), 03-06 March 2008, Al-Ain
University, Al-Ain, UAE.
Invited Lectures:
1- Fractional Derivatives:
Theory and Applications I
(Physics
Department, KFUPM) Nov. 09,
2004
2- Fractional Derivatives:
Theory and Applications I
(Physics
Department, KFUPM) Nov. 27,
2004
3- Fractional Derivatives:
Theory and Applications I
(Physics
Department, KFUPM) Dec. 04,
2004
4- On the fractional telegraph equation, KACST,
April 16, 2006,
5- Elliptic problems with time-fractional dynamic
boundary conditions KACST, April 13, 2007,
8. Workshops
1-
How to be an effective University teacher,
2- Increasing effectiveness as a University
teacher,
3-
Experience sharing in developing online courses,
4-
Critical thinking,
5-
Introduction to outcome-based programs and course assessment,
6-
Experience sharing in developing online courses,
7-
Mentoring to enhance faculty development,
8-
Developing the communication skills of students,
9-
Active learning to foster critical thinking,
10-
Using groups and students teams to promote learning,
11-
Criteria for assigning letter grades,
12-
Evaluating the quality of teaching: An institutional framework,
13-
On the fractional telegraph equation,
Workshop on Special Functions and Applied Mathematics, King Abdulaziz city for
Science and Technology, April 17, 2006,
14- ITC training short course on "Web Design", July 26-Aug 9, 2006, King Fahd University of
Petroleum and Minerals.
15-
Workshop on Teaching Mathematics in Prep-Year, Sept. 3, 2006, Department of
Mathematical Sciences, KFUPM.
16- Using Course Design to Create more Significant Learning Experiences for Students, Good Learning and Good Teaching: How do we Promote more of it?, Sept. 4, 2006, Deanship of Academic Development (DAD), KFUPM.
17- Workshop on Increasing enrollment in Graduate Programs, KFUPM Strategic Plan Project, Office of Planning and Quality, Sept, 17, 2006, KFUPM.
18- Workshop on effective use of collaborative
learning in the classroom, Sept 20, 2006, Deanship of
Academic Development (DAD), KFUPM.
19-
Workshop on Maple, Teaching Committee, Department of Mathematical Sciences, April
01, 2007.
9. Supervised Graduate Students
M.S Thesis (Completed)
1- Name : Belkacem Said
Houari
Option : Partial
differential equations
Title of the
thesis : Study of the interaction between a
dissipatif term
and a blow up term in a
hyperbolic problem
Defended: June 2002
PhD Thesis (Completed)
2- Name : Mohamed Medjden
Option : Partial differential equations
Title of the thesis : On the Stokes equation on the half space
Defended : September
2004
3- Name : Mahieddine Kouche
Option : Partial differential equations
Title of the thesis : Asymptotic behavior for solutions of an
integro-differential system with Diffusion
Defended: June
2007
PhD Theses in Progress
4- Name : Soraya Labidi
Option : Partial differential equations
Title of the thesis : Study of the Bernoulli beam problem with a
fractional boundary feedback
5- Name : Abderahmane Zarai
Option : Partial differential equations
Title of the thesis : On a
Kirchhoff problem with Balakrishnan-Taylor damping
6- Name : Abdelhak Djebabla
Option : Partial differential equations
Title of the thesis :
Stabilization of a Timoshenko system by thermal effect
7- Name : Abdessadek Saib
Option : Partial differential equations
Title of the thesis : Exponential decay for a fractionally damped
hyperbolic equation
8- Name : Mohamed Berbiche
Option : Partial differential equations
Title of the thesis : On a viscoelastic problem in non-cylindrical
domains
9- Membership in completed MS Thesis:
05
10- Membership in completed PhD
Thesis: 02
10. Funded Research Projects
1-
Title: Critical exponents in viscoelasticity
Period: Sept. 1, 2007
to Sept 1, 2008
Project No.: SABIC/FAST
TRACK
King Fahd University of Petroleum
and Minerals
2-
Title: New relaxation functions in viscoelasticity (Chairman)
Period: May 1, 2007 to
May 1, 2008
Project No.: SABIC/FAST
TRACK
King Fahd University of Petroleum
and Minerals
3-
Title: Stabilization of a system in viscoelasticity
Period: Sept. 1, 2006 to Sept 1, 2007
Project No.: SABIC/FAST
TRACK
King Fahd University of Petroleum
and Minerals
4-
Title: Stabilization of a partially viscoelastic
material (Chairman)
Period: Sept. 1, 2006
to Sept 1, 2007
Project No.: Internally
funded (KFUPM)
King Fahd University of Petroleum
and Minerals
5-
Title: On a viscoelastic material permissive to
slight deformations (Chairman)
Period:
Project
No.: SABIC/FAST TRACK
King Fahd University of Petroleum
and Minerals
6-
Title: Vibrations in presence of a fractional
damping mechanism
(Chairman)
Period:
Project No.: SABIC/FAST
TRACK
King Fahd University of Petroleum
and Minerals
7-
Title: Asymptotic behavior of solutions to
problems
with non- local terms (Chairman)
Period:
Project No.: FT/2003-10
(SABIC/FAST TRACK).
King Fahd University of
Petroleum and Minerals
8-
Title:
Investigation of qualitative properties for
solutions of a class of reaction diffusion systems
Period: Sept
2002- Sept 2003
Project No.: B 2301/06/2000 (member)
University Badji Mokhtar,
9-
Title:
Evolution equations with delays and
bifurcations
Period: Sept
1998- Sept 2000
Project No.: Project No B 2301/08/98
(Chairman)
University Badji Mokhtar,
11. Committee Work
Research Committee (member) 2002/2003
Enhancement Research Committee (member) 2003/2004
Research Committee (member) 2004/2005
Research Committee (member) 2005/2006
Analysis Group (Coordinator) 2005/2006
12. Other Professional Activities
-
Member of the Department Council (
-
Chairman Graduate Studies (
-
Analysis Group (member)
(2002-present)
-
Applied Math. Group (member) (2002-present)
-
Algerian Association of Mathematicians (member)
-
Referee in Journal of Applied Mathematics (JAM)
-
Referee in Applied Mathematical Modeling (AMM)
-
Referee in The Australian Journal of Mathematical Analysis and
Applications (AJMAA)
-
Referee in African Diaspora Journal of Mathematics (ADJM)
-
Referee in Electronic Journal of Differential Equations (EJDE)
-
Referee in Electronic Journal of Qualitative Theory of Differential
Equations (EJQTDE)
-
Referee in Indian Journal of Pure and Applied Mathematics (IJPAM)
-
Referee in Arabian Journal
for Science and Engineering (AJSE).
-
Referee
in International Journal of Applied Mathematics and Statistics
-
Referee
in Journal of Mathematical Analysis and Applications (JMAA)
-
Referee
in Nonlinear Analysis : Theory, Methods and Applications (NATMA)
-
Referee
in International Journal of Mathematics and Mathematical
Sciences (IJMMS)
-
Referee
in International Journal: Mathematical manuscript (IJMM)
-
Reviewer in Mathematical Reviews
-
Reviewer in Zentralblatt MATH
Book Review: Well-Posedness of Linear Hyperbolic Problems: Theory and Applications by A. M. Blokhin and Yu. L. Trakhinin, published by Nova Science Publishers, Inc, New York 2006.
-
Member of the Research Group in Mathematical Inequalities and
Applications (RGMIA) (
-
Member of the “Differential Equations Research Lab” (KFUPM).
-
Associate Editor in “The Australian Journal of Mathematical Analysis and
Applications”
-
Coordinator of Math. Seminar (KFUPM)