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Alexandru D. Ionescu

Alexandru D. Ionescu

D-Index & Metrics

Mathematics

D-Index
41
Citations
4953
World Ranking
1963
National Ranking
829

Research.com Recognitions

  • 2018 - Fellow of the American Mathematical Society For contributions to harmonic analysis on symmetric spaces, discrete analogs of singular Radon transforms, and the mathematics of general relativity.
  • 2003 - Fellow of Alfred P. Sloan Foundation

Overview

Alexandru D. Ionescu is affiliated with Princeton University in the United States and has an extensive research portfolio in mathematics, engineering, and physics and astronomy. Their research spans several subfields, including applied mathematics, computational mechanics, mathematical physics, astronomy and astrophysics, and statistical and nonlinear physics.

Their work addresses a variety of topics such as Navier-Stokes equation solutions, fluid dynamics and turbulent flows, gas dynamics and kinetic theory, advanced mathematical physics problems, computational fluid dynamics and aerodynamics, cosmology and gravitation theories, and black holes and theoretical physics.

Among their recent publications are:

  • Nonlinear inviscid damping near monotonic shear flows, 2023, Acta Mathematica
  • Axi-symmetrization near Point Vortex Solutions for the 2D Euler Equation, 2021, Communications on Pure and Applied Mathematics
  • Nonlinear inviscid damping near monotonic shear flows, 2020, arXiv (Cornell University)
  • Linear Vortex Symmetrization: The Spectral Density Function, 2022, Archive for Rational Mechanics and Analysis
  • Nonlinear Landau Damping for the Vlasov-Poisson System in ℝ³: The Poisson Equilibrium, 2023, Annals of PDE

Frequently publishing venues include arXiv (Cornell University), Communications on Pure and Applied Mathematics, Vietnam Journal of Mathematics, Acta Mathematica, and Annals of PDE.

The scientist has collaborated often with several co-authors, notably Benoît Pausader, Hao Jia, Klaus Widmayer, Xuecheng Wang, and Ákos Magyar.

In addition to articles, Alexandru D. Ionescu has contributed to book publications through Princeton University Press, authoring works titled "The Einstein-Klein-Gordon Coupled System" published in 2022.

Awards received by the scientist include:

  • Fellow of the American Mathematical Society, 2018, for contributions to harmonic analysis on symmetric spaces, discrete analogs of singular Radon transforms, and the mathematics of general relativity
  • Fellow of Alfred P. Sloan Foundation, 2003

Best Publications

  • Global well-posedness of the Benjamin–Ono equation in low-regularity spaces

    Alexandru D. Ionescu;Carlos E. Kenig

  • Global solutions for the gravity water waves system in 2d

    Alexandru D. Ionescu;Fabio Pusateri

  • Global Schrödinger maps in dimensions $d≥ 2$: Small data in the critical Sobolev spaces

    Ioan Bejenaru;Alexandru D. Ionescu;Carlos E. Kenig;Daniel Tataru

  • Nonlinear fractional Schrödinger equations in one dimension

    Alexandru D. Ionescu;Fabio Giuseppe Pusateri

  • Global well-posedness of the KP-I initial-value problem in the energy space

    A.D. Ionescu;C.E. Kenig;D. Tataru

  • Global Well-Posedness of the Energy-Critical Defocusing NLS on \({\mathbb{R} imes \mathbb{T}^3}\)

    Alexandru D. Ionescu;Benoit Pausader

  • L^p boundedness of discrete singular Radon transforms

    Alexandru D. Ionescu;Stephen Wainger

  • On the absence of positive eigenvalues of Schrödinger operators with rough potentials

    Alexandru D. Ionescu;David Jerison

  • Global Regularity for 2d Water Waves with Surface Tension

    Alexandru D. Ionescu;Fabio Pusateri

  • The Euler–Poisson System in 2D: Global Stability of the Constant Equilibrium Solution

    Alexandru D. Ionescu;Benoit Pausader

  • Global solutions of the gravity-capillary water-wave system in three dimensions

    Yu Deng;Alexandru D. Ionescu;Benoît Pausader;Fabio Pusateri

  • Global solutions of the Euler–Maxwell two-fluid system in 3D

    Yan Guo;Alexandru D. Ionescu;Benoit Pausader

  • On the uniqueness of smooth, stationary black holes in vacuum

    Alexandru D. Ionescu;Sergiu Klainerman

  • The energy-critical defocusing NLS on ${\mathbb{T}}^{3}$

    Alexandru D. Ionescu;Benoit Pausader

  • Inviscid Damping Near the Couette Flow in a Channel

    Alexandru D. Ionescu;Hao Jia

  • Uniqueness of Smooth Stationary Black Holes in Vacuum: Small Perturbations of the Kerr Spaces

    S. Alexakis;A. D. Ionescu;S. Klainerman

  • Low-regularity Schrödinger maps, II: global well-posedness in dimensions d ≥ 3

    Alexandru D. Ionescu;Carlos E. Kenig

  • Sobolev spaces on lie manifolds and regularity for polyhedral domains

    Bernd Ammann;Alexandru D. Ionescu;Victor Nistor

  • Semilinear Schrödinger flows on hyperbolic spaces: scattering in H 1

    Alexandru D. Ionescu;Gigliola Staffilani

  • The energy-critical defocusing NLS on T^3

    A. D. Ionescu;B. Pausader

  • On the global well-posedness of energy-critical Schrodinger equations in curved spaces

    Alexandru D. Ionescu;Benoit Pausader;Gigliola Staffilani

  • Global solutions of quasilinear systems of Klein–Gordon equations in 3D

    Alexandru D. Ionescu;Benoît Pausader

  • Fourier Integral Operators on Noncompact Symmetric Spaces of Real Rank One

    Alexandru D. Ionescu

Frequent Co-Authors

Carlos E. Kenig
Carlos E. Kenig University of Chicago
Sergiu Klainerman
Sergiu Klainerman Princeton University
Daniel Tataru
Daniel Tataru University of California, Berkeley
Yan Guo
Yan Guo Brown University
Stephen Wainger
Stephen Wainger University of Wisconsin–Madison
Wilhelm Schlag
Wilhelm Schlag Yale University
James Colliander
James Colliander University of British Columbia
Charles Fefferman
Charles Fefferman Princeton University
Diego Córdoba
Diego Córdoba Institute of Mathematical Sciences

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