31 citations · 41 across the 15 of their papers we have counts for
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The reflection coefficient of a fractional reflector
Laurent Demanet, Olivier Lafitte
This paper considers the question of characterizing the behavior of waves reflected by a fractional singularity of the wave speed profile, i.e., of the form \[ c(x_1, x_2, x_3) = c…
Spectral analysis of the incompressible viscous Rayleigh-Taylor system in
Tien-Tai Nguyen, Olivier Lafitte
The linear instability study of the viscous Rayleigh-Taylor model in the neighborhood of a laminar smooth increasing density profile amounts to the study of the followin…
Uniqueness of the Cauchy datum for the tempered-in-time response and conductivity operator of a plasma
Olivier Lafitte, Omar Maj
We study the linear Vlasov equation with a given electric field , where is the space of Schwartz functions. The associated damped partial different…
High-frequency stability of multidimensional ZND detonations
Olivier Lafitte, Mark Williams, Kevin Zumbrun
The rigorous study of spectral stability of strong detonations was begun by Erpenbeck in the 1960s. Working with the Zeldovitch-von Neumann-Döring (ZND) model, he identified two fu…
Existence and stability of viscous shock profiles for 2-D isentropic MHD with infinite electrical resistivity
Blake Barker, Olivier Lafitte, Kevin Zumbrun
For the two-dimensional Navier--Stokes equations of isentropic magnetohydrodynamics (MHD) with -law gas equation of state, , and infinite electrical resistivity, we carr…
Study of the linear ablation growth rate for the quasi isobaric model of Euler equations with thermal conductivity
Olivier Lafitte
In this paper, we study a linear system related to the 2d system of Euler equations with thermal conduction in the quasi-isobaric approximation of Kull-Anisimov [14]. This model is…