OOIR: Observatory of International Research

Papers

(The median citation count of Annals of PDE is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-02-01 to 2025-02-01.)

Article	Citations
Stability of Vacuum for the Boltzmann Equation with Moderately Soft Potentials	20
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros	18
The Inviscid Limit of Viscous Burgers at Nondegenerate Shock Formation	17
Euler Equations on General Planar Domains	17
Global Solutions to Multi-dimensional Topological Euler Alignment Systems	15
Existence and Regularity for Prescribed Lorentzian Mean Curvature Hypersurfaces, and the Born–Infeld Model	15
A Sufficient Condition for Asymptotic Stability of Kinks in General (1+1)-Scalar Field Models	13
Kerr Stability in External Regions	13
Spectral Analysis for Singularity Formation of the Two Dimensional Keller–Segel System	10
Justification of the Benjamin–Ono equation as an internal water waves model	9
Uniqueness and stability of traveling vortex pairs for the incompressible Euler equation	9
Small Scale Creation for 2D Free Boundary Euler Equations with Surface Tension	9
Coordinates at Small Energy and Refined Profiles for the Nonlinear Schrödinger Equation	9
Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics	8
An Inverse Problem for a Semilinear Elliptic Equation on Conformally Transversally Anisotropic Manifolds	8
Anomalous Diffusion by Fractal Homogenization	8
Simultaneous Development of Shocks and Cusps for 2D Euler with Azimuthal Symmetry from Smooth Data	8
Dynamic Stability for Steady Prandtl Solutions	7
Dispersion for the Wave Equation Inside Strictly Convex Domains II: The General Case	7
Asymptotic Stability of the Relativistic Boltzmann Equation Without Angular Cut-Off	7
SO(2) Symmetry of the Translating Solitons of the Mean Curvature Flow in $$\mathbb {R}^4$$	7
Construction of Blow-Up Manifolds to the Equivariant Self-dual Chern–Simons–Schrödinger Equation	5
Maximal $$L^q$$-Regularity for Parabolic Hamilton–Jacobi Equations and Applications to Mean Field Games	5
Asymptotics and Convergence for the Complex Monge-Ampère Equation	5
On the local existence and blow-up for generalized SQG patches	5

Soliton Resolution for the Energy-Critical Nonlinear Wave Equation in the Radial Case	5
Well/Ill-Posedness Bifurcation for the Boltzmann Equation with Constant Collision Kernel	4
The Canonical Foliation On Null Hypersurfaces in Low Regularity	4
The Case Against Smooth Null Infinity III: Early-Time Asymptotics for Higher $$\ell $$-Modes of Linear Waves on a Schwarzschild Background	4
Correction: Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	4
Generic Regularity of Level Set Flows with Spherical Singularity	4
Global existence for perturbations of the 2D stochastic Navier–Stokes equations with space-time white noise	4
Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel	4
Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	4
On the local well-posedness for the relativistic Euler equations for a liquid body	4
On the Transition of the Rayleigh-Taylor Instability in 2d Water Waves with Point Vortices	4
Nonlinear Landau Damping for the Vlasov–Poisson System in $$\mathbb {R}^3$$: The Poisson Equilibrium	3
Estimate on the Dimension of the Singular Set of the Supercritical Surface Quasigeostrophic Equation	3
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle	3
Asymptotic decay for defocusing semilinear wave equations in $$\mathbb {R}^{1+1}$$	3
Nonlinear Stability of Self-Gravitating Massive Fields	3
The Spacelike-Characteristic Cauchy Problem of General Relativity in Low Regularity	3
Outgoing Solutions Via Gevrey-2 Properties	3
Kasner-Like Description of Spacelike Singularities in Spherically Symmetric Spacetimes with Scalar Matter	3
Non-uniqueness for the Euler Equations up to Onsager’s Critical Exponent	3
A Scale-Critical Trapped Surface Formation Criterion: A New Proof Via Signature for Decay Rates	3
Stability of Solitary Waves for the Modified Camassa-Holm Equation	2
Kasner Bounces and Fluctuating Collapse Inside Hairy Black Holes with Charged Matter	2
Nonlinear Interaction of Three Impulsive Gravitational Waves II: The Wave Estimates	2
Time Periodic Solutions Close to Localized Radial Monotone Profiles for the 2D Euler Equations	2
Quantitative Control of Solutions to the Axisymmetric Navier-Stokes Equations in Terms of the Weak $$L^3$$ Norm	2
Global Entropy Solutions and Newtonian Limit for the Relativistic Euler Equations	2
From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm’s law: convergence for classical solutions	2