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 2020-11-01 to 2024-11-01.)

Article	Citations
Nonuniqueness of Weak Solutions for the Transport Equation at Critical Space Regularity	22
A Sufficient Condition for Asymptotic Stability of Kinks in General (1+1)-Scalar Field Models	20
On the local existence and blow-up for generalized SQG patches	18
Maximal $$L^q$$-Regularity for Parabolic Hamilton–Jacobi Equations and Applications to Mean Field Games	17
On the Cauchy Problem for the Muskat Equation. II: Critical Initial Data	17
Rational Normal Forms and Stability of Small Solutions to Nonlinear Schrödinger Equations	15
Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics	14
Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid	14
Asymptotic Stability of Equilibria for Screened Vlasov–Poisson Systems via Pointwise Dispersive Estimates	13
Non-uniqueness for the Euler Equations up to Onsager’s Critical Exponent	13
Simultaneous Development of Shocks and Cusps for 2D Euler with Azimuthal Symmetry from Smooth Data	10
Sedimentation of random suspensions and the effect of hyperuniformity	9
Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations	9
Coordinates at Small Energy and Refined Profiles for the Nonlinear Schrödinger Equation	9
Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field	9
$$L^2$$-Critical Nonuniqueness for the 2D Navier-Stokes Equations	8
From Vlasov-Maxwell-Boltzmann system to two-fluid incompressible Navier-Stokes-Fourier-Maxwell system with Ohm’s law: convergence for classical solutions	8
Global Well-Posedness for the Fifth-Order KdV Equation in $$H^{-1}(\pmb {\mathbb {R}})$$	8
The Case Against Smooth Null Infinity III: Early-Time Asymptotics for Higher $$\ell $$-Modes of Linear Waves on a Schwarzschild Background	8
Outgoing Solutions Via Gevrey-2 Properties	7
Incompressible Euler Limit from Boltzmann Equation with Diffuse Boundary Condition for Analytic Data	7
Stability of Vacuum for the Boltzmann Equation with Moderately Soft Potentials	7
Stability of Solitary Waves for the Modified Camassa-Holm Equation	7
A Determination of the Blowup Solutions to the Focusing NLS with Mass Equal to the Mass of the Soliton	5
Localized Mixing Zone for Muskat Bubbles and Turned Interfaces	5

Construction of GCM Spheres in Perturbations of Kerr	5
Anomalous Dissipation and Lack of Selection in the Obukhov–Corrsin Theory of Scalar Turbulence	5
The Flow of Polynomial Roots Under Differentiation	5
Decay of the Weyl curvature in expanding black hole cosmologies	4
Price’s Law for Spin Fields on a Schwarzschild Background	4
On Echo Chains in Landau damping: Traveling Wave-like Solutions and Gevrey 3 as a Linear Stability Threshold	4
Naked Singularities in the Einstein-Euler System	4
On the Cauchy Problem for the Hall and Electron Magnetohydrodynamic Equations Without Resistivity I: Illposedness Near Degenerate Stationary Solutions	4
Instability of the Kerr Cauchy Horizon Under Linearised Gravitational Perturbations	4
An Inverse Problem for a Semilinear Elliptic Equation on Conformally Transversally Anisotropic Manifolds	4
The unconditional uniqueness for the energy-supercritical NLS	4
Quantitative Derivation and Scattering of the 3D Cubic NLS in the Energy Space	4
Gluing Non-unique Navier–Stokes Solutions	4
A Scale-Critical Trapped Surface Formation Criterion: A New Proof Via Signature for Decay Rates	3
Nonlinear Landau Damping for the Vlasov–Poisson System in $$\mathbb {R}^3$$: The Poisson Equilibrium	3
Euler Equations on General Planar Domains	3
Orientation Mixing in Active Suspensions	3
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle	3
SO(2) Symmetry of the Translating Solitons of the Mean Curvature Flow in $$\mathbb {R}^4$$	3
Effective Results on Uniformization and Intrinsic GCM Spheres in Perturbations of Kerr	3
Asymptotic decay for defocusing semilinear wave equations in $$\mathbb {R}^{1+1}$$	3
Global Solutions to Multi-dimensional Topological Euler Alignment Systems	3
Construction of GCM Hypersurfaces in Perturbations of Kerr	3
A global method for deterministic and stochastic homogenisation in BV	2
Quantitative Control of Solutions to the Axisymmetric Navier-Stokes Equations in Terms of the Weak $$L^3$$ Norm	2
Solvability of a Class of Singular Fourth Order Equations of Monge–Ampère Type	2
Global Regular Null Hypersurfaces in a Perturbed Schwarzschild Black Hole Exterior	2
The Inviscid Limit of Viscous Burgers at Nondegenerate Shock Formation	2
Construction of a Right Inverse for the Divergence in Non-cylindrical Time Dependent Domains	2
Variational Approach to Regularity of Optimal Transport Maps: General Cost Functions	2