OOIR: Observatory of International Research

Papers

(The TQCC of Annals of PDE is 6. 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 2021-04-01 to 2025-04-01.)

Article	Citations
Kerr Stability in External Regions	24
Anomalous Diffusion by Fractal Homogenization	21
Spectral Analysis for Singularity Formation of the Two Dimensional Keller–Segel System	19
The Inviscid Limit of Viscous Burgers at Nondegenerate Shock Formation	15
Global Solutions to Multi-dimensional Topological Euler Alignment Systems	15
A Sufficient Condition for Asymptotic Stability of Kinks in General (1+1)-Scalar Field Models	15
Simultaneous Development of Shocks and Cusps for 2D Euler with Azimuthal Symmetry from Smooth Data	14
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros	14
Coordinates at Small Energy and Refined Profiles for the Nonlinear Schrödinger Equation	14
Euler Equations on General Planar Domains	13
Small Scale Creation for 2D Free Boundary Euler Equations with Surface Tension	12
Uniqueness and stability of traveling vortex pairs for the incompressible Euler equation	11
Stability of Vacuum for the Boltzmann Equation with Moderately Soft Potentials	10
Existence and Regularity for Prescribed Lorentzian Mean Curvature Hypersurfaces, and the Born–Infeld Model	10
Correction: Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	9
Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics	9
An Inverse Problem for a Semilinear Elliptic Equation on Conformally Transversally Anisotropic Manifolds	9
Maximal $$L^q$$-Regularity for Parabolic Hamilton–Jacobi Equations and Applications to Mean Field Games	9
Justification of the Benjamin–Ono equation as an internal water waves model	9
Dispersion for the Wave Equation Inside Strictly Convex Domains II: The General Case	8
Asymptotic Stability of the Relativistic Boltzmann Equation Without Angular Cut-Off	8
Construction of Blow-Up Manifolds to the Equivariant Self-dual Chern–Simons–Schrödinger Equation	8
Asymptotics and Convergence for the Complex Monge-Ampère Equation	7
Dynamic Stability for Steady Prandtl Solutions	7
Well/Ill-Posedness Bifurcation for the Boltzmann Equation with Constant Collision Kernel	7

Global existence for perturbations of the 2D stochastic Navier–Stokes equations with space-time white noise	6
Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel	6
Soliton Resolution for the Energy-Critical Nonlinear Wave Equation in the Radial Case	6
Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane	6
Nonlinear Landau Damping for the Vlasov–Poisson System in $$\mathbb {R}^3$$: The Poisson Equilibrium	6
SO(2) Symmetry of the Translating Solitons of the Mean Curvature Flow in $$\mathbb {R}^4$$	6