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Belkacem Said Houari
Mathematics and Natural Sciences Department
Faculty of Engineering and Applied Sciences
HDR (Habilitation, Mathematics): Savoie University, France, 2009
PhD: (PhD in Mathematics , Annaba University, Algeria, 2005
Master: (Master of Mathematics), Annaba University, Algeria, 2002
Bachelor:  (Bachelor of Mathematics ), Blida University, Algeria, 2000
 

 
Selected Publications
2014 - Decay property of regularity-loss type for solutions in elastic solids with voids
Authors: L. Djouamai and B. Said-Houari
Journal of Mathematical Analysis and Applications, Vol 409, No 2, 705-715, 2014.
2014 - Improved decay rates for solutions for a multidimensional generalized Benjamin-Bona-Mahony equation,
Authors: B. Said-Houari
Asymptotic Analysis, 86, 2014, 155-164.
2014 - General decay estimates for a Cauchy viscoelastic wave problem
Authors: B. Said-Houari and Salim A. Messaoudi,
Communications on Pure and Applied Analysis, Volume 13, No 4, (2014), 1541-1551.
2013 - Asymptotic behavior of the solution to the Cauchy problem for the Timoshenko system in thermoelasticity of type III
Authors: Said-Houari and R. Rahali
, Evolution Equations and Control Theory. Volume 2, Issue 2, (2013), 423 - 440.
2013 - Global existence and exponential growth for a viscoelastic wave equation with dynamic boundary conditions
Authors: S. Gerbi and B. Said-Houari
Advances in Nonlinear Analysis, Volume 2, Issue 2, (2013), 163–193.
2013 - Decay properties of linear thermoelastic plates: Cattaneo versus Fourier law
Authors: B. Said-Houari
Applicable Analysis, Volume 92, Issue 2, (2013), 424-440.
2013 - Decay rates and global existence for semilinear dissipative Timoshenko systems
Authors: R. Racke and B. Said-Houari
Quart. Appl. Math. 71 (2013), 229-266.
2013 - Global existence and nonexistence for the viscoelastic wave equation with nonlinear boundary damping-source interaction
Authors: B. Said-Houari and F. A. Falcao Nascimento
Commun. Pure Appl. Anal. Volume 12, Issue 1, (2013), 375 - 403.
2013 - Damping by heat conduction in the Timoshenko system: Fourier and Cattaneo are the same
Authors: B. Said-Houari and A. Kasimov
Journal of Differential Equations, Volume 255, Issue 4, (2013), 611-632.
2013 - Decay property for solutions in the three-phase-lag heat conduction
Authors: L. Djouamai and B. Said-Houari,
Commun. Math. Anal. Volume 15, Number 1 (2013), 99-114.
2012 - Exponential decay for solutions to semilinear damped wave equation
Authors: S. Gerbi and B. Said-Houari
Discrete and Continuous Dynamical Systems Volume 5, Issue 3, (2012), 559-566.
2012 - Decay property of Timoshenko system in thermoelasticity
Authors: B. Said-Houari and A. Kasimov
Math. Meth. Appl. Science, Volume 35, Issue 3, (2012), 314–333
2012 - Global existence and decay of solutions of a nonlinear system of wave equations
Authors: B. Said-Houari
Applicable Analysis, Volume 91, Issue 3, (2012), 475-489
2012 - Asymptotic behaviors of solutions for viscoelastic wave equation with space–time dependent damping term
Authors: B. Said-Houari
Journal of Mathematical Analysis and Applications, Volume 387, Issue 2, (2012), 1088-1105
2012 - On the wave equation with semilinear porous acoustic boundary conditions
Authors: P. G. Graber and B. Said-Houari,
Journal of Differential Equations. 252 (2012), 4898-4941
2012 - Decay rates of semilinear viscoelastic systems in weighted spaces
Authors: R. Racke and B. Said-Houari
Journal of Hyperbolic Differential Equations. 9 (2012), 67-103
2012 - Diffusion phenomenon for linear dissipative wave equation
Authors: B. Said-Houari
ZAA- Zeitschrift fur Analysis und ihre Anwendungen, Volume 31, Issue 3, (2012), 267–282.
2012 - Stability result of the Timoshenko system with delay and boundary feedback
Authors: B. Said-Houari and A. Soufyane
IMA Journal of Mathematical Control and Information, Volume 29, Issue 3 (2012) 383-398.
2012 - Existence and asymptotic behavior of the wave equation with dynamic boundary conditions
Authors: P. J. Graber and B. Said-Houari
Applied Mathematics and Optimization, Volume 66, Number 1 (2012), 81-122
2012 - Global existence and decay property of the Timoshenko system in thermoelasticity with second sound, Nonlinear Analysis: Theory, Methods & Applications
Authors: R. Racke and B. Said-Houari
Volume 75, Issue 13, (2012), 4957–4973.
2012 - Existence and exponential stability of a damped wave equation with dynamic boundary conditions and a delay term
Authors: S. Gerbi and B. Said-Houari
Applied Mathematics and Computation, Volume 218, Issue 24, (2012), 11900–11910.
2011 - Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks
Authors: M. Kirane, B. Said-Houari and M. N. Anwar
Commun. Pure Appl. Anal. 10, (2011), no. 2, 667–686.
2011 - Exponential growth of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms
Authors: B. Said-Houari
Z. Angew. Math. Phys. 62 (2011), 115–133
2011 - General decay of solutions of a nonlinear system of viscoelastic wave equations
Authors: B. Said-Houari, S. A. Messaoudi and A. Guesmia
Nonlinear Differ. Equ. Appl. 18 (2011), 659-684.
2011 - Global nonexistence results for a class of hyperbolic systems
Authors: B. Said-Houari and M. Kirane
Nonlinear Analysis Series A: Theory, Methods & Applications. 74 (2011), no. 17, 6130-6143.
2011 - Existence and asymptotic stability of a viscoelastic wave equation with a delay
Authors: M. Kirane and B. Said-Houari
Z. Angew. Math. Phys. 62 (2011), 1065-1082.
2011 - A stability result for a Timoshenko system with past history and a delay term in the internal feedback
Authors: B. Said-Houari and R. Rahali
Dynamic Systems and Applications, 20 (2011) 327-354.
2011 - Asymptotic stability and blow up for a semilinear damped wave equation with dynamic boundary conditions
Authors: S. Gerbi and B. Said-Houari,
Nonlinear Analysis Series A: Theory, Methods, 74, Issue 18, (2011), 7137-7150.
2010 - Global nonexistence of positive initial-energy solutions of a system of nonlinear wave equations with damping and source terms
Authors: B. Said-Houari
Differential Integral Equations 23, (2010), no. 1-2, 79–92
2010 - Global nonexistence of positive initial-energy solutions of a system of nonlinear viscoelastic wave equations with damping and source terms.
Authors: S. A. Messaoudi and B. Said-Houari
J. Math. Anal. Appl. 365, (2010), no. 1, 277–287.
2010 - A stability result of a Timoshenko system with a delay term in the internal feedback
Authors: B. Said-Houari and Y. Laskri
Appl. Math. Comput. 217, (2010), no. 6, 2857–2869.
2009 - Energy decay in a Timoshenko-type system with history in thermoelasticity of type III
Authors: S. A. Messaoudi and B. Said-Houari
Adv. Differential Equations 14, (2009), no. 3-4, 375–400.
2009 - Nonlinear damped Timoshenko systems with second sound—global existence and exponential stability
Authors: S. A. Messaoudi, M. Pokojovy and B. Said-Houari
Math. Methods Appl. Sci. 32, (2009), no. 05, 505–534.
2009 - Energy decay in a transmission problem in thermoelasticity of type III.
Authors: S. A. Messaoudi and B. Said-Houari
IMA J. Appl. Math. 74, (2009), no. 3, 344–360
2009 - Convergence to strong nonlinear diffusion waves for solutions to p-system with damping.
Authors: B. Said-Houari
J. Differential Equations 247, (2009), no. 3, 917–930
2008 - Energy decay in a Timoshenko-type system of thermoelasticity of type III.
Authors: S. A. Messaoudi and B. Said-Houari
J. Math. Anal. Appl. 348, (2008), no. 1, 298–307.
2008 - Local existence and exponential growth for a semilinear damped wave equation with dynamic boundary conditions Adv.
Authors: S. Gerbi and B. Said-Houari
Differential Equations 13, (2008), no. 11-12, 1051–1074.
2007 - A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation.
Authors: S. A. Messaoudi and B. Said-Houari
Appl. Math. Lett. 20, (2007), no. 08, 866-871.
2007 - Global existence and asymptotic behavior for a fractional differential equation.
Authors: S. A. Messaoudi, B. Said-Houari and N. Tatar
Appl. Math. Comput. 188, (2007), no. 02, 1955–1962.
2006 - A global nonexistence result for the nonlinearly damped multi-dimensional Boussinesq equation.
Authors: S. A. Messaoudi and B. Said-Houari
Arab. J. Sci. Eng. Sect. A Sci. 31, (2006), no. 1, 57-68
2005 - Exponential stability in one-dimensional non-linear thermoelasticity with second sound
Authors: S. A. Messaoudi and B. Said-Houari
Math. Methods Appl. Sci. 28, (2005), no. 2, 205-232
2004 - Blow up of solutions with positive energy in nonlinear thermoelasticity with second sound.
Authors: S. A. Messaoudi and B. Said-Houari
J. Appl. Math. (2004), no. 03, 201-2011
2004 - Global non-existence of solutions of a class of wave equations with non-linear damping and source terms.
Authors: S. A. Messaoudi and B. Said-Houari
Math. Methods Appl. Sci. 27, (2004), no. 14, 1687–1696.

 
Keynote address/Lectures
  1. SIMA conference of Partial Differential Equations (PDE13), Orlando, Florida, USA, 2013.
  2. KFUPM (Saudi Arabia), April 2013.
  3. BCAM (Bilbao, Spain), December 2012.
  4. The 9th AIMS Conference on Dynamical Systems, Di_erential Equations and Applications, Orlando, Florida, USA, July 2012
  5. The 5th Saudi Science Conference, Umm Al Qura university, Saudi Arabia, April 2012.
  6. KFUPM (Saudi Arabia), February 2012.
  7. Konstanz University (Germany), December 2011.
  8. Konstanz University (Germany), November 2011.
  9. Savoie University (France), October 2011.
  10. King Abdullah University of Science and Technology (KAUST), April 2011.
  11. Konstanz University (Germany), December 2010.
  12. Konstanz University (Germany), July 2010.
  13. Annaba University (Algeria), June 2010.
  14. Laboratoire Jacques-Louis Lions, Paris (France), November 2009.
  15. Laboratoire: Analyse, Topologie et Probabilite, Marseille (France), October 2009.
  16. Colloque international : Aspects géométriques des équations aux dérivées partielles , CIRM, 2 to 6 March 2009.
  17. Contrôle et Problèmes Inverses pour les EDP : Aspects Théoriques et Numériques, Centre. International de Rencontres Mathématiques, France, February 2009.
  18. RAMA 3, (Algeria), March 2002.
 
 
Graduate Students Supervision
  1. Advisor of the PhD thesis of Leila Djouamai, Annaba University, Algeria.  Title : “The decay property of regularity-loss type of solutions of some hyperbolic and hyperbolic/parabolic systems”, since : October 2012.
  2. Advisor of the PhD thesis of Radouane Rahali, Annaba University, Algeria. Title : “Stabilization for the one dimensional Mindlin-Timoshenko systems”, since : October 2010.
  3. Advisor of the PhD thesis of Aissa Ben Seghir, University of Setif, Algeria. Title : “The transmission problem in the hyperbolic wave and viscoelastic wave equations”, since : October 2010.
  4. Advisor of the PhD thesis of Ouchenane Djamel, Annaba University, Algeria. Title : “Existence and asymptotic behavior in porous-elasticity with heat conduction”, since : October 2008.
  5. Co-advisor (80 %) of the Master thesis of Khaled Zennir. Title : “Asymptotic behavior of some viscoelastic problems” ; February 10th 2009 ; University of Annaba
 
 
Research Interests/Areas
  • PDEs of Hyperbolic Type
  • Nonlocal PDEs
  • Integro-differential Equations
  • PDEs of Parabolic Type
  • PDEs of Mixed Type
  • Fractional Differential Equations
  • Conservation laws
  • Control Theory
 
 
Honors/Awards
  • The winner of the Abdul Hameed Shoman Award for Young Arab Researchers, Mathematics (2012)
  • Grant Région Rhone Alpes MIRA 2007 for 14 months (Savoie University, France).
  • Grant ERASMUS-MUNDUS,2008 for 10 months (Toulouse university, France).
  • Grant DFG, 2010, for 9 months (Konstanz University, Germany).
 
 
Contact Details
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