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 2022-06-01 to 2026-06-01.)

Article	Citations
On the Well-Posedness of the KP-I Equation	26
Nontrivial Global Solutions to Some Quasilinear Wave Equations in Three Space Dimensions	25
Dynamic Stability for Steady Prandtl Solutions	25
Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel	18
Asymptotic Stability of the Relativistic Boltzmann Equation Without Angular Cut-Off	17
Correction: Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	16
Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion	15
Kasner-Like Description of Spacelike Singularities in Spherically Symmetric Spacetimes with Scalar Matter	15
Desingularization of Small Moving Corners for the Muskat Equation	15
Stability of the Generalized Lagrangian Mean Curvature Flow in Cotangent Bundle	15
Price’s Law for Spin Fields on a Schwarzschild Background	13
Incompressible limit for the free surface Navier-Stokes system	13
Global stability for a nonlinear system of anisotropic wave equations	12
The Flow of Polynomial Roots Under Differentiation	12
Global Dynamics Around 2-Solitons for the Nonlinear Damped Klein-Gordon Equations	10
$$L^2$$-Critical Nonuniqueness for the 2D Navier-Stokes Equations	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
Optimal $$C^{\frac{1}{2}}$$ Regularity of the Boltzmann Equation in Non-Convex Domains	8
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros	8
Justification of the Benjamin–Ono equation as an internal water waves model	8
Linear Stability of the Slowly-Rotating Kerr-de Sitter Family	8
The Inviscid Limit of Viscous Burgers at Nondegenerate Shock Formation	7
Existence and Regularity for Prescribed Lorentzian Mean Curvature Hypersurfaces, and the Born–Infeld Model	7
Global Well-Posedness for Radial Extremal Hypersurface Equation in $$\left(1+3 \right)$$-dimensional Minkowski space-time in Critical Sobolev Space	7

Small Scale Creation for 2D Free Boundary Euler Equations with Surface Tension	7
Low-Regularity Local Well-Posedness for the Elastic Wave System	7
Nonlinear Landau Damping for the Vlasov–Poisson System in $$\mathbb {R}^3$$: The Poisson Equilibrium	6
The Linear Stability of Weakly Charged and Slowly Rotating Kerr-Newman Family of Charged Black Holes	6
Time-Global Regularity of the Navier–Stokes System with Hyper-Dissipation: Turbulent Scenario	6
Self-Similar Algebraic Spiral Solution of 2-D Incompressible Euler Equations	6
Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	6
Time Periodic Solutions Close to Localized Radial Monotone Profiles for the 2D Euler Equations	5
Regularity of Hele-Shaw Flow with Source and Drift	5
Nonlinear Interaction of Three Impulsive Gravitational Waves II: The Wave Estimates	5
Sharp Polynomial Decay for Polynomially Singular Damping on the Torus	5
Long Time Regularity for 3D Gravity Waves with Vorticity	5
Hamiltonian Birkhoff Normal Form for Gravity-Capillary Water Waves with Constant Vorticity: Almost Global Existence	5
The Reverse Burnett Conjecture for Null Dusts	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
A Fully Nonlinear Degenerate Free Transmission Problem	4
Soliton Resolution for the Energy-Critical Nonlinear Wave Equation in the Radial Case	3
Manifolds with Small Curvature Concentration	3
Anomalous Diffusion by Fractal Homogenization	3
Linear Landau Damping for the Vlasov-Maxwell System in $$\mathbb{R}^3$$	3
Nonlinear Stability of Self-Gravitating Massive Fields	3
Low Regularity of Self-Similar Solutions of Two-Dimensional Riemann Problems with Shocks for the Isentropic Euler System	3
Instability of Gravitational and Electromagnetic Perturbations of Extremal Reissner–Nordström Spacetime	3
An Inverse Problem for a Semilinear Elliptic Equation on Conformally Transversally Anisotropic Manifolds	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
Wellposedness of the Electron MHD Without Resistivity for Large Perturbations of the Uniform Magnetic Field	3
Physical Space Approach to Wave Equation Bilinear Estimates Revisit	3
Uniqueness and stability of traveling vortex pairs for the incompressible Euler equation	3
Global existence for perturbations of the 2D stochastic Navier–Stokes equations with space-time white noise	3
On the Stability of Blowup Solutions to the Complex Ginzburg-Landau Equation in $$\mathbb{R}^d$$	3
Generic Regularity of Level Set Flows with Spherical Singularity	3