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 2020-03-01 to 2024-03-01.)

Article	Citations
Finite-Time Singularity Formation for Strong Solutions to the Boussinesq System	19
A Sufficient Condition for Asymptotic Stability of Kinks in General (1+1)-Scalar Field Models	17
Nonuniqueness of Weak Solutions for the Transport Equation at Critical Space Regularity	16
On the local existence and blow-up for generalized SQG patches	15
On the Cauchy Problem for the Muskat Equation. II: Critical Initial Data	15
Maximal $$L^q$$-Regularity for Parabolic Hamilton–Jacobi Equations and Applications to Mean Field Games	14
Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics	12
The Linear Stability of Reissner–Nordström Spacetime for Small Charge	11
Non-uniqueness for the Euler Equations up to Onsager’s Critical Exponent	11
Evolution of Polygonal Lines by the Binormal Flow	10
Rational Normal Forms and Stability of Small Solutions to Nonlinear Schrödinger Equations	10
Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid	9
Asymptotic Stability of Equilibria for Screened Vlasov–Poisson Systems via Pointwise Dispersive Estimates	9
The Case Against Smooth Null Infinity III: Early-Time Asymptotics for Higher $$\ell $$-Modes of Linear Waves on a Schwarzschild Background	8
Sedimentation of random suspensions and the effect of hyperuniformity	8
Coordinates at Small Energy and Refined Profiles for the Nonlinear Schrödinger Equation	8
On convergence of approximate solutions to the compressible Euler system	8
Stability of Vacuum for the Boltzmann Equation with Moderately Soft Potentials	7
Emergence of Apparent Horizon in Gravitational Collapse	7
A Type II Blowup for the Six Dimensional Energy Critical Heat Equation	7
Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field	6
Simultaneous Development of Shocks and Cusps for 2D Euler with Azimuthal Symmetry from Smooth Data	6
From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm’s law: convergence for classical solutions	6
Low Regularity Solutions for Gravity Water Waves II: The 2D Case	6
Stability of Solitary Waves for the Modified Camassa-Holm Equation	6

Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations	5
A Determination of the Blowup Solutions to the Focusing NLS with Mass Equal to the Mass of the Soliton	5
Outgoing Solutions Via Gevrey-2 Properties	5
Estimates Near the Boundary for Critical SQG	5
Decay of the Weyl curvature in expanding black hole cosmologies	4
Incompressible Euler Limit from Boltzmann Equation with Diffuse Boundary Condition for Analytic Data	4
On Echo Chains in Landau damping: Traveling Wave-like Solutions and Gevrey 3 as a Linear Stability Threshold	4
Construction of GCM Spheres in Perturbations of Kerr	4
Price’s Law for Spin Fields on a Schwarzschild Background	4
Global Well-Posedness for the Fifth-Order KdV Equation in $$H^{-1}(\pmb {\mathbb {R}})$$	4
Instability of the Kerr Cauchy Horizon Under Linearised Gravitational Perturbations	4
Quantitative Derivation and Scattering of the 3D Cubic NLS in the Energy Space	3
On the Cauchy Problem for the Hall and Electron Magnetohydrodynamic Equations Without Resistivity I: Illposedness Near Degenerate Stationary Solutions	3
Asymptotic decay for defocusing semilinear wave equations in $$\mathbb {R}^{1+1}$$	3
The unconditional uniqueness for the energy-supercritical NLS	3
Global Solutions to Multi-dimensional Topological Euler Alignment Systems	3
Construction of GCM Hypersurfaces in Perturbations of Kerr	2
Effective Results on Uniformization and Intrinsic GCM Spheres in Perturbations of Kerr	2
The Flow of Polynomial Roots Under Differentiation	2
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle	2
SO(2) Symmetry of the Translating Solitons of the Mean Curvature Flow in $$\mathbb {R}^4$$	2
Anomalous Dissipation and Lack of Selection in the Obukhov–Corrsin Theory of Scalar Turbulence	2
Naked Singularities in the Einstein-Euler System	2
Orientation Mixing in Active Suspensions	2
Gluing Non-unique Navier–Stokes Solutions	2
A Scale-Critical Trapped Surface Formation Criterion: A New Proof Via Signature for Decay Rates	2
An Inverse Problem for a Semilinear Elliptic Equation on Conformally Transversally Anisotropic Manifolds	2
A global method for deterministic and stochastic homogenisation in BV	2
$$L^2$$-Critical Nonuniqueness for the 2D Navier-Stokes Equations	2
Localized Mixing Zone for Muskat Bubbles and Turned Interfaces	2
Quantitative Control of Solutions to the Axisymmetric Navier-Stokes Equations in Terms of the Weak $$L^3$$ Norm	2
Nonlinear Scalar Perturbations of Extremal Reissner–Nordström Spacetimes	2
Euler Equations on General Planar Domains	2