OOIR: Observatory of International Research

Papers

(The median citation count of Annals of PDE is 3. 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 2021-08-01 to 2025-08-01.)

Article	Citations
Correction: Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	23
Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel	20
Dynamic Stability for Steady Prandtl Solutions	19
Asymptotic Stability of the Relativistic Boltzmann Equation Without Angular Cut-Off	17
Kasner-Like Description of Spacelike Singularities in Spherically Symmetric Spacetimes with Scalar Matter	17
Stability of the Generalized Lagrangian Mean Curvature Flow in Cotangent Bundle	16
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle	15
Desingularization of Small Moving Corners for the Muskat Equation	13
Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion	13
Incompressible limit for the free surface Navier-Stokes system	12
Price’s Law for Spin Fields on a Schwarzschild Background	12
Global stability for a nonlinear system of anisotropic wave equations	12
Sedimentation of random suspensions and the effect of hyperuniformity	11
$$L^2$$-Critical Nonuniqueness for the 2D Navier-Stokes Equations	10
The Flow of Polynomial Roots Under Differentiation	10
Localized Mixing Zone for Muskat Bubbles and Turned Interfaces	10
The unconditional uniqueness for the energy-supercritical NLS	9
Global Dynamics Around 2-Solitons for the Nonlinear Damped Klein-Gordon Equations	9
Anomalous Dissipation and Lack of Selection in the Obukhov–Corrsin Theory of Scalar Turbulence	9
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros	8
The Inviscid Limit of Viscous Burgers at Nondegenerate Shock Formation	8
Justification of the Benjamin–Ono equation as an internal water waves model	8
Small Scale Creation for 2D Free Boundary Euler Equations with Surface Tension	8
Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	7
Self-Similar Algebraic Spiral Solution of 2-D Incompressible Euler Equations	7

Existence and Regularity for Prescribed Lorentzian Mean Curvature Hypersurfaces, and the Born–Infeld Model	7
Time-Global Regularity of the Navier–Stokes System with Hyper-Dissipation: Turbulent Scenario	7
Nonlinear Landau Damping for the Vlasov–Poisson System in $$\mathbb {R}^3$$: The Poisson Equilibrium	7
Regularity of Hele-Shaw Flow with Source and Drift	6
Nonlinear Interaction of Three Impulsive Gravitational Waves II: The Wave Estimates	6
Instability of Gravitational and Electromagnetic Perturbations of Extremal Reissner–Nordström Spacetime	6
Time Periodic Solutions Close to Localized Radial Monotone Profiles for the 2D Euler Equations	6
Long Time Regularity for 3D Gravity Waves with Vorticity	6
A Fully Nonlinear Degenerate Free Transmission Problem	5
Variational Approach to Regularity of Optimal Transport Maps: General Cost Functions	5
Physical Space Approach to Wave Equation Bilinear Estimates Revisit	4
Manifolds with Small Curvature Concentration	4
The Reverse Burnett Conjecture for Null Dusts	4
Hamiltonian Birkhoff Normal Form for Gravity-Capillary Water Waves with Constant Vorticity: Almost Global Existence	4
Finite Time Singularities to the 3D Incompressible Euler Equations for Solutions in$$\:C^{\infty}(\mathbb{R}^3 \setminus \{0\})\cap C^{1,\alpha}\cap L^2$$	4
An Inverse Problem for a Semilinear Elliptic Equation on Conformally Transversally Anisotropic Manifolds	4
Soliton Resolution for the Energy-Critical Nonlinear Wave Equation in the Radial Case	3
Uniqueness and stability of traveling vortex pairs for the incompressible Euler equation	3
Transport of Nonlinear Oscillations Along Rays that Graze a Convex Obstacle to any Order	3
Static Vacuum Extensions With Prescribed Bartnik Boundary Data Near a General Static Vacuum Metric	3
Generic Regularity of Level Set Flows with Spherical Singularity	3
Anomalous Diffusion by Fractal Homogenization	3
Wellposedness of the Electron MHD Without Resistivity for Large Perturbations of the Uniform Magnetic Field	3
Global Stability for Nonlinear Wave Equations with Multi-Localized Initial Data	3
Nonlinear Stability of Self-Gravitating Massive Fields	3
On the local well-posedness for the relativistic Euler equations for a liquid body	3
The Spacelike-Characteristic Cauchy Problem of General Relativity in Low Regularity	3
Global existence for perturbations of the 2D stochastic Navier–Stokes equations with space-time white noise	3