Annals of PDE

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 2022-06-01 to 2026-06-01.)
ArticleCitations
On the Well-Posedness of the KP-I Equation26
Nontrivial Global Solutions to Some Quasilinear Wave Equations in Three Space Dimensions25
Dynamic Stability for Steady Prandtl Solutions25
Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel18
Asymptotic Stability of the Relativistic Boltzmann Equation Without Angular Cut-Off17
Correction: Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane16
Global Unique Solutions with Instantaneous Loss of Regularity for SQG with Fractional Diffusion15
Kasner-Like Description of Spacelike Singularities in Spherically Symmetric Spacetimes with Scalar Matter15
Desingularization of Small Moving Corners for the Muskat Equation15
Stability of the Generalized Lagrangian Mean Curvature Flow in Cotangent Bundle15
Price’s Law for Spin Fields on a Schwarzschild Background13
Incompressible limit for the free surface Navier-Stokes system13
Global stability for a nonlinear system of anisotropic wave equations12
The Flow of Polynomial Roots Under Differentiation12
Global Dynamics Around 2-Solitons for the Nonlinear Damped Klein-Gordon Equations10
$$L^2$$-Critical Nonuniqueness for the 2D Navier-Stokes Equations10
The unconditional uniqueness for the energy-supercritical NLS10
Anomalous Dissipation and Lack of Selection in the Obukhov–Corrsin Theory of Scalar Turbulence9
Optimal $$C^{\frac{1}{2}}$$ Regularity of the Boltzmann Equation in Non-Convex Domains8
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros8
Justification of the Benjamin–Ono equation as an internal water waves model8
Linear Stability of the Slowly-Rotating Kerr-de Sitter Family8
The Inviscid Limit of Viscous Burgers at Nondegenerate Shock Formation7
Existence and Regularity for Prescribed Lorentzian Mean Curvature Hypersurfaces, and the Born–Infeld Model7
Global Well-Posedness for Radial Extremal Hypersurface Equation in $$\left(1+3 \right)$$-dimensional Minkowski space-time in Critical Sobolev Space7
Small Scale Creation for 2D Free Boundary Euler Equations with Surface Tension7
Low-Regularity Local Well-Posedness for the Elastic Wave System7
Nonlinear Landau Damping for the Vlasov–Poisson System in $$\mathbb {R}^3$$: The Poisson Equilibrium6
The Linear Stability of Weakly Charged and Slowly Rotating Kerr-Newman Family of Charged Black Holes6
Time-Global Regularity of the Navier–Stokes System with Hyper-Dissipation: Turbulent Scenario6
Self-Similar Algebraic Spiral Solution of 2-D Incompressible Euler Equations6
Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane6
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