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Travaux
de Recherche
Elasticité -- Application à
la volcanologie
Méthodes
de domaines fictifs pour les géométries avec fissures (3D)
Problèmes
inverses (identification de fracture)
Equations
intégrales
Prise
en compte de conditions de frottement Coulombien
 
Contrôle des EDP
Insensibilisation
de fonctionnelles
Contrôle
de systèmes paraboliques non-linéaires
Contrôlabilité
dans les domaines perforés ou oscillants
Analyse Asymptotique -- Domaines à
frontière oscillante
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 parus
Y. AMIRAT,
O. BODART,
G.
CHECHCKIN,
A.
PIATNITSKI.
Asymptotics
of a spectral-sieve problem. Journ.
of Math. Analysis and Applications, 425(2), pp.1652–1671, 2016.
C.
AARON,
O. BODART.
Local
convex hull support and boundary estimation. J.
Multivariate Anal.,
147, 82–101,
2016.
O.
BODART,
V. CAYOL,
S.
COURT,
J. KOKO.
XFEM-based
fictitious
domain method for linear elasticity model with
crack.
SIAM
J. Sci. Comput., 38(2), pp. B219-B246, 2016.
V.
CAYOL,
T. CATRY,
L.
MICHON,
M.
CHAPUT,
V.
FAMIN,
O.
BODART,
J.-L.
FROGER,
C.
ROMAGNOLI.
Sheared
sheet intrusions as a mechanism for lateral flank displacement on
basaltic volcanoes: Applications to Réunion Island volcanoes.
Journal
of Geophysical Research - Solid Earth, 119(10),
pp.7607–7635, 2014.
Y. AMIRAT,
O. BODART,
U.
DE
MAIO,
A.
GAUDIELLO.
Effective
boundary condition for Stokes flow over a very rough
surface.
Journal
of Differential Equations, 254(8), pp.3395-3430, 2013.
Y. AMIRAT,
O. BODART,
G.
CHECHCKIN,
A.
PIATNITSKI.
Boundary
homogenization in domains
with randomly oscillating
boundary.
Stochastic
Processes and Applications, 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).
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