CHRISTIAN BOURDARIAS
	Maître de conférences - HDR
	accueil  -  cv  -  thèmes de recherche  -  publications  -  enseignement

[S1] C. Bourdarias, M. Gisclon, S. Junca, ``Strong Stability with respect to weak limit for a Hyperbolic System arising from Gas Chromatography " , soumis.

[P1] C. Bourdarias, D. Bresch, H. Li, ``Effects of drags in shallow water " , en préparation.

[P2] C. Bourdarias, M. Gisclon, S. Junca, ``Kinetic formulation of a 2x2 hyperbolic system arising in gas chromatography" , en préparation.

[P3] C. Bourdarias, M. Gisclon, S. Junca, ``Blow-up for a 2x2 strictly hyperbolic system arising in gas chromatography" , en préparation.

[P4] C. Bourdarias, M. Ersoy, S. Gerbi, ``A mathematical model for unsteady mixed flows in closed water pipes", en préparation.

[P5] C. Bourdarias, M. Ersoy, S. Gerbi, ``A kinetic scheme for pressurized flows in non uni- form pipes", soumis (Proceedings du colloque Maths & Water, Saragosse,19-21 mai 2008).

[P6] C. Bourdarias, S. Gerbi, ``A kinetic scheme for a model coupling free surface and pressurised flows in closed pipes", en préparation.

[P7] C. Bourdarias, M. Gisclon, N. Timack, ``Derivation and numerical study of a new viscous shallow water bifluid model", en préparation.

[BGG07] C. Bourdarias, S. Gerbi, M. Gisclon, ``A kinetic formulation for a model coupling free surface and pressurised flows in closed pipes", JCAM, Vol. 218 (2), 2008, pp.522-531

[BG07] C. Bourdarias, S. Gerbi, ``A conservative model for unsteady flows in deformable pipes and its implicit second order finite volume discretisation", Computer and Fluids, 37 (2008), pp. 1225-1237.

[BGJ07] C. Bourdarias, M. Gisclon, S. Junca, ``Existence of weak entropy solutions for gas chromatography system with one or two active species and non convex isotherms", CMS, Vol. 5, N°1, 2007, pp. 67-84.

[BG08] C. Bourdarias, S. Gerbi, ``A finite volume scheme for a model coupling unsteady flows in pipes", JCAM, Vol.209 N°1 pp. 109-131, 2007.

[BGJ06] C. Bourdarias, M. Gisclon, S. Junca, ``Some mathematical results on a system of transport equations with an algebraic constraint describing fixed-bed adsorption of gases", J. of Math. Anal. and Appl. 313 (2006) 551-571.

[BGO031] C. Bourdarias, S. Gerbi, J. Ohayon, "A three dimensional finite element method for a biological active soft tissue", M2AN, Vol. 37, N°4, 2003, pp. 725-739.

[BGOm02] C. Bourdarias, M. Gisclon, A. Omrane, ``Transmission boundary conditions in a model-kinetic decomposition domain ", Disc. and Cont. Dyn. Systems -B, vol.2, 2002.

[B01] C. Bourdarias, "Convergence of Fluctuation Splitting schemes for two dimensional scalar conservation laws with a kinetic solver", Numerische Mathematik, 87:645-662, 2001.

[B98] C. Bourdarias ``Approximation of the solution to a system modelling heatless adsorbtion of gases", SIAM J. of Num. Anal., vol 35, 1, 1998

[BBP96] F .Bouchut, C. Bourdarias, B. Perthame ``A MUSCL method satisfying all the numerical entropy inequalities",Mathematics of Computation, vol. 65, 216, p. 1439-1461

[BBP93] F .Bouchut, C. Bourdarias, B. Perthame ``Un exemple de méthode MUSCL satisfaisant toutes les inégalités d'entropie numériques", C. R. Acad. Sci., t. 317, série I, 619-624, 1993.

[B92] C. Bourdarias ``Sur un système d'EDP modélisant un processus d'adsorbtion isotherme d'un mélange gazeux", M2AN, Vol. 26, N° 7, 867-892, 1992.

[BBGG04] J.P. Blais,C. Bourdarias, L. Del Gatto, S. Gerbi, ``Numerical modelling of mixed flows in hydroelectric schemes", 177ème Session du comité scientifique et technique de la Société Hydrotechnique de France    Paper: 28
Progrès récents des méthodologies de modélisation des écoulements diphasiques, Lyon, France, 24-26 novembre 2004.

[OBG03] C. Bourdarias, S. Gerbi, J. Ohayon, "Does the collagen network contributes to normal systolic left ventricular wall thickening? A theoretical study in continuum mechanics", Second International workshop on Functional Imaging and Modeling of the heart, FIMH'03, June 5-6, 2003, Lyon.

[BGO021] C. Bourdarias, S. Gerbi, J. Ohayon, "A finite element method for the contraction analysis of the cardiac tissue: effect of the extracellular collagen network on the myocardial contraction", in proceedings of the 9th workshop "The Finite Element Method in Biomedical Engineering, Biomechanics and Related Fields", Ulm, p.25-39, 2002

[BG02] C. Bourdarias, S. Gerbi, "An implicit finite volume scheme for unsteady flows in deformable pipe-lines" in: Finite Volumes for Complex Applications III, R. Herbin and D. Kröner eds., HPS, 463-470, 2002.

[BGO022] C. Bourdarias, J.OhayonS. Gerbi, "A finite element method for a biological active soft tissue tissue" ESAIM Proceedings Vol. 12-MS4CMS 2002, 8-11, 2002.

[OBG01] J.Ohayon, C. Bourdarias, S. Gerbi, "A finite element for the active cardiac muscle", Proceeding of the Fifth International Symposium on Computer Method in Biomechanics and Biomedical Engineering, Rome, 2001.

[hdr] C. Bourdarias, "Autour de quelques modèles en mécanique des fluides et en biomécanique",
thèse d'habilitation à diriger des recherches, mai 2004

[rap.edf3] C. Bourdarias, S. Gerbi, ``Etude et mise en oeuvre d'un schéma de type Roe pur les écoulements mixtes à surface libre et en charge. Rapport de validation", rapport interne EDF CNEH, 2003

[rap.edf2] C. Bourdarias, S. Gerbi, ``Ecoulements unidimensionnels mixtes à surface libre et en charge", rapport interne EDF CNEH, 2001

[rap.edf1] C. Bourdarias, A. Libaux, ``Ecoulements transcritiques à surface libre", rapport interne EDF CNEH, 1996

[thèse] C. Bourdarias, ``Etude Mathématique et Numérique de diverses équations de transport", thèse de doctorat, Université d'Orléans, janvier 1993