email address: email@example.com
Research area: Partial differential equations, ordinary differential equations
Most of the papers below are available on the arxiv.
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, (http://arxiv.org/abs/1312.6906).
13.) The Mach stem equation and amplification in strongly nonlinear geometric optics, with Jean-Francois Coulombel, submitted, (2015), 68 pages, (http://arxiv.org/abs/1501.02793).
Last update: March 6, 2015