155 citations · 427 across the 28 of their papers we have counts for
36 papers · 1 filter
A Physical-Space Approach to Modified Scattering for the 3D Hartree Equation: Full-Space and Robin Half-Space
Benoît Pausader, Mengyi Xie
We prove global well-posedness and modified scattering for the three-dimensional Hartree equation for small data in , with on and on the ha…
Increased lifespan for 3D compressible Euler flows with rotation
Haram Ko, Benoit Pausader, Ryo Takada +1
We consider the compressible Euler equation with a Coriolis term and prove a lower bound on the time of existence of solutions in terms of the speed of rotation, sound speed and si…
Nonlinear Landau damping and wave operators in sharp Gevrey spaces
A. D. Ionescu, B. Pausader, X. Wang +1
We prove nonlinear Landau damping in optimal weighted Gevrey-3 spaces for solutions of the confined Vlasov-Poisson system on $\T^d\times\R^d$ which are small perturbations of homog…
Desingularization of small moving corners for the Muskat equation
Eduardo García-Juárez, Javier Gómez-Serrano, Susanna V. Haziot +1
In this paper, we investigate the dynamics of solutions of the Muskat equation with initial interface consisting of multiple corners allowing for linear growth at infinity. Specifi…
On the stability of homogeneous equilibria in the Vlasov-Poisson system on
Alexandru D. Ionescu, Benoit Pausader, Xuecheng Wang +1
The goal of this article is twofold. First, we investigate the linearized Vlasov-Poisson system around a family of spatially homogeneous equilibria in (the unconfine…
Note on the dissipation for the general Muskat problem
Susanna V. Haziot, Benoît Pausader
We consider the dissipation of the Muskat problem and we give an elementary proof of a surprising inequality of Constantin-Cordoba-Gancedo-Strain which holds in greater generality.