Annals of PDE

Papers
(The TQCC of Annals of PDE is 4. 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 2021-02-01 to 2025-02-01.)
ArticleCitations
Stability of Vacuum for the Boltzmann Equation with Moderately Soft Potentials20
Uniqueness of Solutions to Nonlinear Schrödinger Equations from their Zeros18
Euler Equations on General Planar Domains17
The Inviscid Limit of Viscous Burgers at Nondegenerate Shock Formation17
Global Solutions to Multi-dimensional Topological Euler Alignment Systems15
Existence and Regularity for Prescribed Lorentzian Mean Curvature Hypersurfaces, and the Born–Infeld Model15
A Sufficient Condition for Asymptotic Stability of Kinks in General (1+1)-Scalar Field Models13
Kerr Stability in External Regions13
Spectral Analysis for Singularity Formation of the Two Dimensional Keller–Segel System10
Justification of the Benjamin–Ono equation as an internal water waves model9
Uniqueness and stability of traveling vortex pairs for the incompressible Euler equation9
Small Scale Creation for 2D Free Boundary Euler Equations with Surface Tension9
Coordinates at Small Energy and Refined Profiles for the Nonlinear Schrödinger Equation9
Anomalous Diffusion by Fractal Homogenization8
Simultaneous Development of Shocks and Cusps for 2D Euler with Azimuthal Symmetry from Smooth Data8
Moment Maps, Nonlinear PDE and Stability in Mirror Symmetry, I: Geodesics8
An Inverse Problem for a Semilinear Elliptic Equation on Conformally Transversally Anisotropic Manifolds8
Dispersion for the Wave Equation Inside Strictly Convex Domains II: The General Case7
Asymptotic Stability of the Relativistic Boltzmann Equation Without Angular Cut-Off7
SO(2) Symmetry of the Translating Solitons of the Mean Curvature Flow in $$\mathbb {R}^4$$7
Dynamic Stability for Steady Prandtl Solutions7
Asymptotics and Convergence for the Complex Monge-Ampère Equation5
On the local existence and blow-up for generalized SQG patches5
Soliton Resolution for the Energy-Critical Nonlinear Wave Equation in the Radial Case5
Construction of Blow-Up Manifolds to the Equivariant Self-dual Chern–Simons–Schrödinger Equation5
Maximal $$L^q$$-Regularity for Parabolic Hamilton–Jacobi Equations and Applications to Mean Field Games5
Correction: Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane4
Generic Regularity of Level Set Flows with Spherical Singularity4
Global existence for perturbations of the 2D stochastic Navier–Stokes equations with space-time white noise4
Inviscid Damping of Monotone Shear Flows for 2D Inhomogeneous Euler Equation with Non-Constant Density in a Finite Channel4
Ill-Posedness of the Two-Dimensional Stationary Navier–Stokes Equations on the Whole Plane4
On the local well-posedness for the relativistic Euler equations for a liquid body4
On the Transition of the Rayleigh-Taylor Instability in 2d Water Waves with Point Vortices4
Well/Ill-Posedness Bifurcation for the Boltzmann Equation with Constant Collision Kernel4
The Canonical Foliation On Null Hypersurfaces in Low Regularity4
The Case Against Smooth Null Infinity III: Early-Time Asymptotics for Higher $$\ell $$-Modes of Linear Waves on a Schwarzschild Background4
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