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 2022-05-01 to 2026-05-01.)

Article	Citations
On the Well-Posedness of the KP-I Equation	25
Nontrivial Global Solutions to Some Quasilinear Wave Equations in Three Space Dimensions	24
Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel	24
Correction: Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	18
Dynamic Stability for Steady Prandtl Solutions	17
Kasner-Like Description of Spacelike Singularities in Spherically Symmetric Spacetimes with Scalar Matter	15
Asymptotic Stability of the Relativistic Boltzmann Equation Without Angular Cut-Off	15
Stability of the Generalized Lagrangian Mean Curvature Flow in Cotangent Bundle	14
Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion	14
Global stability for a nonlinear system of anisotropic wave equations	13
Desingularization of Small Moving Corners for the Muskat Equation	13
Incompressible limit for the free surface Navier-Stokes system	13
$$L^2$$-Critical Nonuniqueness for the 2D Navier-Stokes Equations	12
Price’s Law for Spin Fields on a Schwarzschild Background	11
The Flow of Polynomial Roots Under Differentiation	10
The unconditional uniqueness for the energy-supercritical NLS	10
Anomalous Dissipation and Lack of Selection in the Obukhov–Corrsin Theory of Scalar Turbulence	9
Global Dynamics Around 2-Solitons for the Nonlinear Damped Klein-Gordon Equations	9
Small Scale Creation for 2D Free Boundary Euler Equations with Surface Tension	8
Justification of the Benjamin–Ono equation as an internal water waves model	8
Existence and Regularity for Prescribed Lorentzian Mean Curvature Hypersurfaces, and the Born–Infeld Model	8
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros	8
Time-Global Regularity of the Navier–Stokes System with Hyper-Dissipation: Turbulent Scenario	7
Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	7
The Linear Stability of Weakly Charged and Slowly Rotating Kerr-Newman Family of Charged Black Holes	7

Low-Regularity Local Well-Posedness for the Elastic Wave System	7
Global Well-Posedness for Radial Extremal Hypersurface Equation in $$\left(1+3 \right)$$-dimensional Minkowski space-time in Critical Sobolev Space	7
The Inviscid Limit of Viscous Burgers at Nondegenerate Shock Formation	7
Nonlinear Landau Damping for the Vlasov–Poisson System in $$\mathbb {R}^3$$: The Poisson Equilibrium	6
Nonlinear Interaction of Three Impulsive Gravitational Waves II: The Wave Estimates	6
Self-Similar Algebraic Spiral Solution of 2-D Incompressible Euler Equations	6
Long Time Regularity for 3D Gravity Waves with Vorticity	6
Sharp Polynomial Decay for Polynomially Singular Damping on the Torus	5
Regularity of Hele-Shaw Flow with Source and Drift	5
Hamiltonian Birkhoff Normal Form for Gravity-Capillary Water Waves with Constant Vorticity: Almost Global Existence	5
Time Periodic Solutions Close to Localized Radial Monotone Profiles for the 2D Euler Equations	5
Finite Time Singularities to the 3D Incompressible Euler Equations for Solutions in$$\:C^{\infty}(\mathbb{R}^3 \setminus \{0\})\cap C^{1,\alpha}\cap L^2$$	5
The Reverse Burnett Conjecture for Null Dusts	5
Instability of Gravitational and Electromagnetic Perturbations of Extremal Reissner–Nordström Spacetime	5
A Fully Nonlinear Degenerate Free Transmission Problem	5
Manifolds with Small Curvature Concentration	4
Physical Space Approach to Wave Equation Bilinear Estimates Revisit	4
Linear Landau Damping for the Vlasov-Maxwell System in $$\mathbb{R}^3$$	3
Nonlinear Stability of Self-Gravitating Massive Fields	3
Generic Regularity of Level Set Flows with Spherical Singularity	3
Anomalous Diffusion by Fractal Homogenization	3
On the local well-posedness for the relativistic Euler equations for a liquid body	3
Soliton Resolution for the Energy-Critical Nonlinear Wave Equation in the Radial Case	3
Global existence for perturbations of the 2D stochastic Navier–Stokes equations with space-time white noise	3
An Inverse Problem for a Semilinear Elliptic Equation on Conformally Transversally Anisotropic Manifolds	3
Wellposedness of the Electron MHD Without Resistivity for Large Perturbations of the Uniform Magnetic Field	3
Low Regularity of Self-Similar Solutions of Two-Dimensional Riemann Problems with Shocks for the Isentropic Euler System	3
On the Stability of Blowup Solutions to the Complex Ginzburg-Landau Equation in $$\mathbb{R}^d$$	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	2
Global Stability for Nonlinear Wave Equations with Multi-Localized Initial Data	2
Proof of the transverse instability of Stokes waves	2
Modified Scattering for the Three Dimensional Maxwell-Dirac System	2
Geometric Properties of the 2-D Peskin Problem	2
The Spacelike-Characteristic Cauchy Problem of General Relativity in Low Regularity	2
Decay of the Weyl curvature in expanding black hole cosmologies	2
Overdamped QNM for Schwarzschild Black Holes	2
Self-Similar Algebraic Spiral Vortex Sheets of 2-D Incompressible Euler Equations	2
MHS Equilibria in the Non-Resistive Limit to the Randomly Forced Resistive Magnetic Relaxation Equations	2
Static Vacuum Extensions With Prescribed Bartnik Boundary Data Near a General Static Vacuum Metric	2
On the Cauchy Problem for the Hall and Electron Magnetohydrodynamic Equations Without Resistivity I: Illposedness Near Degenerate Stationary Solutions	2
The 2D Muskat Problem I: Local Regularity on the Half-Plane, Plane, and Strips	2
On the Transition of the Rayleigh-Taylor Instability in 2d Water Waves with Point Vortices	2
Asymptotics and Convergence for the Complex Monge-Ampère Equation	2