email address: 

Research area:  Partial differential equations, ordinary differential equations

Most of the papers below are available on the arxiv. 

Some papers:

1.)  Existence and stability of noncharacteristic boundary-layers for the compressible Navier-Stokes and viscous MHD equations, with O. Gues, G, Metivier, K. Zumbrun,  Archive for Rational           Mechanics and Analysis, 197, (2010), 1-87.

2.)  Heteroclinic orbits with fast transitions: a new construction of detonation profiles,  Indiana University Mathematics Journal, 59, (2010), 1145-1209.

3.)  Singularly perturbed ODEs and profiles for stationary symmetric Euler and Navier-Stokes shocks, with E. Endres, H.K. Jenssen,  Discrete and Continuous Dynamical Systems, 27, (2010), 133-169.

4.)  Resonant leading order geometric optics expansions for quasilinear hyperbolic fixed and free boundary problems, with J.-F. Coulombel, O. Gues, Communications in Partial Differential Equations, 36,  (2011), 1797-1859

5.)  The inviscid limit and stability of characteristic boundary layers   for the compressible Navier-Stokes equations with Navier-friction boundary conditions, with Y. Wang, Ann. Inst. Fourier Grenoble, 62, (2012), 2257-2314.

6.) The Erpenbeck high frequency instability theorem for ZND detonations, with O. Lafitte and K. Zumbrun, Archive for Rational Mechanics and Analysis, 204, (2012), 141-187.

7.) Nonlinear geometric optics for reflecting uniformly stable pulses, with Jean-Francois Coulombel,  J. Differential Equations 255 (2013), no. 7, 1939--1987 .

8.) Singular pseudodifferential calculus for wavetrains and pulses, with J.-F. Coulombel and O. Gues,  Bull. Soc. Math. France, 142, (2014), 719-776.

9.) Semilinear geometric optics with boundary amplification, with J.-F. Coulombel and O. Gues,   Analysis and PDE 7 (2014), no. 3, 551--625.

10.)  Viscous boundary layers in hyperbolic-parabolic systems with Neumann boundary conditions, with G. Metivier, O. Gues, K. Zumbrun, Ann. Scient. de l'Ecole Normale Sup.,  47 (2014), 177-239.

11.)  Amplification of pulses in nonlinear geometric optics, with Jean-Francois Coulombel,  Journal of Hyperbolic Differential Equations, 11, (2014), 749-793.

12.)  High frequency stability of detonations and turning points at infinity, with O. Lafitte and K. Zumbrun, to appear in SIAM J. Math. Analysis,  70 pages, (

13.) The Mach stem equation and amplification in strongly nonlinear geometric optics, with Jean-Francois Coulombel, submitted, (2015), 68 pages,   (


Last update:  March 6, 2015