# Thèse:

"Diffraction pour les équations de Maxwell, Thèse de l'Université Paris Sud, 1992.

# Habilitation (Orsay):

"Modélisation et analyse des EDP issues de problèmes de la physique", 1999 .

# Publications

L. Schwartz, O. Lafitte, J. Da Veiga: Toward a Reasoned Classification of Diseases Using Physico-Chemical Based Phenotypes Frontiers in physiology, 2018

O. Lafitte: Hybrid singularity for the oblique incidence response of a cold plasma Indiana University Math Journal, 2018 (to appear)

H. Boumaza, O. Lafitte: The band spectrum of the periodic Airy-Schrodinger operator on the real line, Journal of Differential Equations, 2018 (264) 455-505.

B. Despres, L.M. Imbert-Gerard, O. Lafitte: Solution to the cold plasma at resonances Journal de l'Ecole Polytechnique, 4 (2017), 177-222

O. Lafitte, M. Levy-Noriega, L. Schwartz: Mechanical stress increases brain amyloid, tau, and 2 synuclein concentrations in wild-type mice, Journal of Alzheimer and Dementia, 2017

O. Lafitte, M. Williams, K. Zumbrun: Block-diagonalization of ODEs in the semiclassical limit and $C^\omega$ versus $C^\infty$ stationary phase , Siam Journal of Math. Anal, 2016.

S. Dellacherie, O. Lafitte''', Une solution explicite monodimensionnelle d'un modèle simplifié de couplaage thermohydraulique-neutronique. Annales des sciences mathématiques du Québec (2016)

S. Dellacherie, E. Jamelot, O. Lafitte: " A simple monodimensional model coupling an enthalpy transport equation and a neutron diffusion equation " Applied Maths Letters 62 (2016), 35-41

H. Hampel, O. Lafitte, M. Levy-Noriega, L. Schwartz: Mechanical stress related to brain atrophy in Alzheimer's disease , Journal of Alzheimer and dementia, 2015.

O. Lafitte, M. Williams, K. Zumbrun: High frequency detonation and turning points at infinity, Siam J. Math. Anal 2015, pdf.

Y. Noumir, F. Dubois, O. Lafitte: Numerical Eulerian method for linearized gas dynamics in the high frequency regime Numerische Mathematik Numer. Math. (2014) 127:641-683

Y. Penel, S. Dellacherie, O. Lafitte: Theoretical study of an abstract bubble vibration model Zeitschrift fur Analysis und ihre Anwendungen Journal for Analysis and its Applications Volume 32, Issue 1, 2013, pp. 19-36

M. Bernard et al: Study of a low mach number nuclear core model for single- phase flows ESAIM: PROCEEDINGS, December 2012, Vol. 38, p. 118-134

D. Bouche and O. Lafitte: Simultaneous study of the diffraction by a 2D-convex obstacle through boundary layer method and microlocal analysis Asymptotic Analysis 79 (2012) 347-378

O. Lafitte, M. Williams, K. Zumbrun: The Erpenbeck high frequency instability theorem for Zeldovitch-von Neumann-Doring detonations: Arch. Ration. Mech. Anal. 204, No. 1, 141-187 (2012)

B. Barker, O. Lafitte, K. Zumbrun, : Existence and stability of viscous shock profiles for 2-D isentropic MHD with infinite electrical resistivity. Acta Math. Sci. Ser. B Engl. Ed. 30 (2010), no. 2,

F. Pla, H. Herrero and O. Lafitte: Theoretical and numerical study of a thermal convection problem with temperature-dependent viscosity in an infinite layer Physica D 239 (6) 1108-1119, 2010.

J. Humpherys, O. Lafitte, K. Zumbrun: Stability of isentropic Navier-Stokes shocks in the high Mach number limit. Comm. Math. Phys. 293 (2010), no. 1,1-36 (2010)

B. Barker, J. Humpherys, O. Lafitte, K. Rudd, K.Zumbrun: Stability of isentropic Navier-Stokes shocks Appl. Math. Lett. 21 (2008), no. 7, 742-747

O. Lafitte: The linear and nonlinear Rayleigh-Taylor instability for the quasi-isobaric profile Phys. D 237 (2008), no. 10-12,

R. Chong, O. Lafitte, F. Pla, J. Cahen : Linear growth rate for Kelvin-Helmholtz instability appearing in a moving mixing layer Physica Scripta Vol. 2008 T 132, December 2008

O. Lafitte: Study of the linear ablation growth rate for the quasi- isobaric model of Euler equations with thermal conductivity. Indiana Univ. Math. J. 57 (2008), no. 2

O. Lafitte, Y. Noumir: High frequency and numerical Eulerian methods for aeroacoustic problems J. Comput. Appl. Math. 204 (2007),

[17] Dirichlet to Neumann map for domaines with corners and approximate boundary conditions (avec L. Halpern) J. Comput. Appl. Math. 204 (2007), no. 2, 505-514, [16] Study of the semiclassical regime for ablation front models (avec B. Helffer) Arch. Ration. Mech. Anal. 183 (2007), no. 3, 371-409

J.D. Benamou, O. Lafitte, R.Sentis, I. Solliec:A geometric optic based numerical method for high fre- quency electromagnetic fields computations near fold caustics II: The energy J. Comput. Appl. Math. 167, (1), 91-134 (2004)

J.D. Benamou, O. Lafitte, R.Sentis, I. Solliec: A geometric optic based numerical method for high fre- quency electromagnetic fields computations near fold caustics I I J. Comput. Appl. Math. 156, (1), 93-125 (2003)

B. Helffer and O. Lafitte: Asymptotic methods for the eigenvalues of the Rayleigh equation for the linearized Rayleigh-Taylor instability Asymptotic Analysis 33 (2003) 3-4, 189-235.

O. Lafitte, C. Le Potier The Richards equation for the modeling of a nuclear waste repository Elliptic and parabolic problems, Rolduc- Gaeta, World Scientific 2002 152-159

O. Lafitte Existence and positivity of a system of k-epsilon with a production term of the Rayleigh-Taylor type, Appl. Maths. Letters 15 (3), 2002

O. Lafitte; Sur la phase lin ́eaire de l’instabilit ́e de Rayleigh-Taylor: Expos ́e au S ́eminaire d’ ́equations aux D ́eriv ́ees partielles, CMAT, Ecole Poly- technique, Avril 2001

C. Cherfils-Clerouin, O. Lafitte, P.A. Raviart: Asymptotic results for the linear stage of the Rayleigh- Taylor instability Mathematical Fluid mechanics, 47-71, Advances in Mathematical Fluid Mechanics, Birkhauser, Basel, 2001.

C. Cherfils-Clerouin, O. Lafitte: Analytic solutions of the Rayleigh equation for affine density profiles Phys. Rev. E, 62 (2) pp 2967-2970, 2000

O. Lafitte: Diffraction in the high frequency regime by a thin layer of dielectric material II : the wave diffracted in the shadow SIAM Journal of Applied Mathematics, 59 (3) 1053-1079 (1999)

O. Lafitte: Diffraction in the high frequency regime by a thin layer of dielectric material I: the impedance boundary condition SIAM Journal of Applied Mathematics 59 (3) 1028-1052 (1999)

O. Lafitte: Diffraction for a Neumann boundary condition: Commun. in Partial Differential Equations, 22 (3-4), 555-580 (1997)

O. Lafitte: Second term of the asymptotic expansion of the diffracted wave in the shadow: Asymptotic Analysis (13) 319-359 (1996)

O. Lafitte: The kernel of the Neumann operator for a strictly diffractive analytic problem Commun. in Partial Differential Equations, 20 (3-4), 419-483 (1995)

# Conferences proceedings

SYNACS 2017 Parametric study of the accuracy of an approximate solution for the mild-slope equation E. Audusse, O. Lafitte, A. Leroy, B. Melinand, C.T. Pham and P. Quemar

SYNACS 2016: Numerical results for the coupling of a simple neutronics diffusion model and a simple hydrodynamics low mach number model without coupling codes S. Dellacherie, E. Jamelot, O. Lafitte, M. Riyaz