Olivier BODART

Maître de Conférences
Habilité à diriger des recherches

 
tél. : 04 73 40 79 65
Fax : 04 73 40 70 64
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Travaux de Recherche

• Insensibilisation de fonctionnelles
• Contrôle de systèmes paraboliques non-linéaires
  
• Contrôlabilité dans les domaines perforés ou oscillants

• Comportement limite des solutions
• Détermination de formules de d'approximation d'ordre élevé
• Construction de lois de paroi
  
• Méthodes de décompositions de domaines pour
  approcher numériquement les solutions
• Ecoulements stationnaires le long de parois rugueuses
• Etude d'oscillations aléatoires
  

Publications

Articles soumis ou en rédaction

• Y. AMIRAT, O. BODART. Wall law approximation of the solution of the Laplace equation in a domain with highly oscillating boundary.
• Y. AMIRAT, O. BODART, U. De Maio, A. Gaudiello . Stokes flow in a domain with rough boundary.
  
  

Articles parus

• Y. AMIRAT, O. BODART, G. Chehkin, A. Piatnitski. Boundary homogenization in domains
  with randomly oscillating boundary.
  Stochastic Processes and Appliucations, 121, pp.1-23, 2011.
• Y. AMIRAT, O. BODART. On a boundary value problem in an unbounded domain
  for stationary Stokes equations with interface condition.
  Applicable Analysis, 89 (1), pp.29--47 (2010).
  
• Y. AMIRAT, O. BODART, U. De Maio, A. Gaudiello . Asymptotic approximation
  of the solution of Stokes equations in a domain with highly oscillating boundary.
  Ann. Univ. Ferrara Sez VII Sci. Mat., 53 (2), pp. 135--148 (2007).
  
• O. BODART, M. GONZALEZ-BURGOS, R. PEREZ-GARCIA. Insensitizing controls
  for a heat equation with a nonlinear term involving the state and
  the gradient. Nonlinear Analysis Theory, Methods and Applications,
  57 (5-6) pp. 687-711 (2004).
• O. BODART, M. GONZALEZ-BURGOS, R. PEREZ-GARCIA. Existence Of Insensitizing
  Controls For A Semilinear Heat Equation With A Superlinear Nonlinearity.
  Communications in Partial Differential Equations, 29 (7-8)
  pp. 1017-1050 (2004).
• O. BODART, M. GONZALEZ-BURGOS, R. PEREZ-GARCıA. A local result on
  insensitizing controls for a semilinear heat equation with nonlinear
  boundary Fourier conditions. SIAM Journal on Control and Optimization,
  43 (3), pp. 955-969 (2004).
• Y. AMIRAT, O. BODART, U. DE MAIO, A. GAUDIELLO. Asymptotic approximation
  of the solution of the Laplace equation in a domain with highly oscillating
  boundary. SIAM Journal for Mathematical Analysis, 25 (6),
  pp. 1598-1616 (2004).
• Y. AMIRAT, O. BODART. Numerical approximation of laminar flows over
  rough walls with sharp asperities. Journal of Computational and
  Applied Mathematics, 164-165, pp. 25-38 (2004).
• O. BODART, M. GONZALEZ-BURGOS, R. PEREZ-GARCI. Insensitizing controls for a
  semilinear heat equation with a superlinear nonlinearity. C.R. Acad. Sci.,
  Série I, 335 (8), pp. 677-682 (2002).
• O. BODART, A. V. BOURREAU, R. TOUZANI. Numerical investigation of optimal
  control of induction heating processes. Applied Mathematical Modelling,
  25, pp. 697-712 (2001).
• Y. AMIRAT, O. BODART. Boundary layer correctors for the solution of Laplace
  equation in a domain with oscillating boundary. Journal for Analysis and
  its Applications, 20 (4), pp. 929-940 (2001).
• O. BODART, P. DEMEESTERE. Boundary control of the finite time blow-up of the
  solution of a combustion equation. Advances in Mathematical Sciences and
  Applications, 9 (2), pp. 839-850 (1999).
• O. BODART, P. DEMEESTERE. Sentinels for the identification of un unknown
  boundary. M3AS, 7 (6), pp. 871-885 (1997).
• O. BODART, P. DEMEESTERE. Contrôle frontière de l'explosion en temps fini de la
  solution d'une équation de combustion. C.R. Acad. Sci., Série I, 325 (8),
  pp. 841-845 (1997).
• O. BODART. Existence of approximate controls for a semilinear Laplace
  equation. Inverse Problems, pp. 27-33 (1996).
• O. BODART, M. ZINSMEISTER. Quelque résultats sur la dimension de Hausdorff
  de l'ensemble de Julia des polynômes quadratiques.
  Fundamentha Mathematicae, 151, pp. 121-137 (1996).
• O. BODART, C. FABRE. Controls insensitizing the norm of a semilinear heat
  equation. Journ. of Math. Analysis and Applications, 195,
  pp. 658-683 (1995).
• O. BODART. Application de la méthode des sentinelles à l'identification
  de sources de pollution dans un système distribué.. Thèse de Doctorat,
  Université de Technologie de Compiègne (1994).
• O. BODART, J. KERNEVEZ, T. MäNNIKKö. Numerical methods to compute
  sentinels for distributed systems. In J. YVON J. HENRY (eds.), Proccedings
  of the 16th IFIP TC7 conference on System modelling and Optimization.
  Springer Verlag, Paris (1994).
• O. BODART, T. MäNNIKKö. Parameter identification with the method of sentinels.
  In NEITTAANMäKI (ed.), Workshop on Optimization and Control, pp. 97-107.
  Ber. Univ. Jyväskylä Inst., Jyväskylä (Finland) (1993).
• O. BODART, C. FABRE. Contrôle insensibilisant la norme de la solution
  d'une équation de la chaleur semi-linéaire. C.R. Acad. Sci., Série I, 316(8),
  pp. 789-794 (1993).
• O. BODART, J. KERNEVEZ T. MäNNIKKö. Sentinels for distributed environmental
  systems. In Eleventh IASTED International Conference on Modelling,
  Identification and Control, pp. 219-222. Innsbruck (Austria) (1992).
• O. BODART J.-P. KERNEVEZ. Sentinels in rivers. In Jornadas
  Hispano-Francesas sobre Control de Sistemos Distribuidos, pp. 69-76.
  Málaga (Sp.) (1990).