102 citations · 872 across the 46 of their papers we have counts for
56 papers
Finite-time blow-up for the real-valued defocusing energy-supercritical quintic NLW
Matthieu Cadiot, Alexandru D. Ionescu, Stan Palasek
We consider the defocusing quintic wave equation for real-valued functions on , which is energy-supercritical. We construct a discretely…
Nonlinear Landau damping for the unconfined Vlasov-Poisson system in 2D
Alexandru D. Ionescu, Quoc-Hung Nguyen
We prove nonlinear Landau damping for the two-dimensional Vlasov--Poisson system in the unconfined Euclidean setting near the homogeneous Poisson equilibrium \[ μ(v)=\frac{1}{2π}(1…
On the non-uniqueness of solutions of the axi-symmetric swirl-free Navier-Stokes equations, I
Alexandru D. Ionescu, Hao Jia, Stan Palasek
In this paper we construct numerically a new class of unstable self-similar solutions of the incompressible Navier-Stokes equations in . Our solutions are axially sym…
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…
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…
Quasiperiodic solutions of the generalized SQG equation
Javier Gómez-Serrano, Alexandru D. Ionescu, Jaemin Park
This monograph addresses an important problem in mathematical fluid dynamics: constructing stable, long-term solutions to certain quasilinear evolution equations. We implement an e…