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 2021-11-01 to 2025-11-01.)

Article	Citations
Asymptotic Stability of the Relativistic Boltzmann Equation Without Angular Cut-Off	23
Nontrivial Global Solutions to Some Quasilinear Wave Equations in Three Space Dimensions	20
Dynamic Stability for Steady Prandtl Solutions	18
Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel	16
Correction: Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	14
Kasner-Like Description of Spacelike Singularities in Spherically Symmetric Spacetimes with Scalar Matter	13
Stability of the Generalized Lagrangian Mean Curvature Flow in Cotangent Bundle	12
Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion	12
Desingularization of Small Moving Corners for the Muskat Equation	12
Global stability for a nonlinear system of anisotropic wave equations	11
The Flow of Polynomial Roots Under Differentiation	11
Localized Mixing Zone for Muskat Bubbles and Turned Interfaces	11
Incompressible limit for the free surface Navier-Stokes system	11
Sedimentation of random suspensions and the effect of hyperuniformity	10
Price’s Law for Spin Fields on a Schwarzschild Background	9
$$L^2$$-Critical Nonuniqueness for the 2D Navier-Stokes Equations	9
The unconditional uniqueness for the energy-supercritical NLS	8
Justification of the Benjamin–Ono equation as an internal water waves model	8
Global Dynamics Around 2-Solitons for the Nonlinear Damped Klein-Gordon Equations	8
Anomalous Dissipation and Lack of Selection in the Obukhov–Corrsin Theory of Scalar Turbulence	8
Existence and Regularity for Prescribed Lorentzian Mean Curvature Hypersurfaces, and the Born–Infeld Model	7
Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	7
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros	7
The Inviscid Limit of Viscous Burgers at Nondegenerate Shock Formation	7
Small Scale Creation for 2D Free Boundary Euler Equations with Surface Tension	7

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