OOIR: Observatory of International Research

Papers

(The median citation count of Communications in Partial Differential Equations 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 2022-08-01 to 2026-08-01.)

Article	Citations
Slow periodic homogenization for Hamilton–jacobi equations	21
On solutions to −Δ u = Vu near infinity	18
Low regularity well-posedness for two-dimensional deep gravity water waves with constant vorticity	16
New asymptotics for strong solutions of the strongly stratified Boussinesq system without rotation and for large ill-prepared initial data	16
Logarithmic Gross-Pitaevskii equation	14
Uniform convergence rates and Lipschitz regularity estimates in periodic homogenization of high-contrast elliptic systems	13
Initial data identification in space dependent conservation laws and Hamilton-Jacobi equations	12
Taxis-driven persistent localization in a degenerate Keller-Segel system	12
Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces	12
Inviscid limit on L ^p -based Sobolev conormal spaces for the 3D Navier-Stokes equations with the Navier-boundary conditions	12
On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case	11
Non-degeneracy, stability, and symmetry for the fractional Caffarelli–Kohn–Nirenberg inequality	11
Erratum to “optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation”	10
Analysis of the generalized Aw-Rascle model	9
The Pauli-Poisson equation and its semiclassical limit	9
Propagation of moments and regularity for the Vlasov-Maxwell-Bopp-Podolsky model and its Pauli-Villars type generalizations	9
Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension	8
The streamlines of ∞-harmonic functions obey the inverse mean curvature flow	8
Existence and regularity for perturbed Stokes system with critical drift	7
On asymptotics of Robin eigenvalues in the Dirichlet limit	7
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications	7
Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow	7
New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations	7
Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system	7
Quasilinear wave equations on Schwarzschild–de Sitter	6

Stationary equilibria and their stability in a Kuramoto MFG with strong interaction	6
Maximal speed of quantum propagation for the Hartree equation	6
Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential	6
Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted L ^∞ spaces	6
Existence of martingale solutions to a nonlinearly coupled stochastic fluid-structure interaction problem	6
Resolvents of Bochner Laplacians in the semiclassical limit	6
Nonlinear enhanced dissipation in viscous Burgers type equations II	6
Scaling asymptotics of Wigner distributions of harmonic oscillator orbital coherent states	6
A weakly turbulent solution to the cubic nonlinear harmonic oscillator on ℝ ² perturbed by a real smooth potential decaying to zero at infinity	5
L ^q estimates on the restriction of Schrödinger eigenfunctions with singular potentials	5
A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients	5
Strichartz estimates for Maxwell equations in media: the partially anisotropic case	5
Global bifurcation of solutions to elliptic systems with system and domain symmetries	5
A quasilinear Keller-Segel model with saturated discontinuous advection	5
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds	5
Homogenization of some periodic Hamilton-Jacobi equations with defects	5
Quantitative Hardy inequalities for magnetic Hamiltonians	5
Polynomial convergence rate for quasi-periodic homogenization of Hamilton-Jacobi equations and application to ergodic estimates	4
A distributional approach to nonlocal curvature flows	4
Phase space analysis of higher-order dispersive equations with point interactions	4
Spectral asymptotics for the vectorial damped wave equation	4
A parabolic Hardy-Hénon equation with quasilinear degenerate diffusion	4
Global refined Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes equations with large density	4
Transition fronts of monotone bistable reaction-diffusion systems around an obstacle	4
Quantum entanglement and the growth of Laplacian eigenfunctions	4
A Gaussian beam construction of de Haas-van Alphen resonances	4
Global dynamics of small data solutions to the derivative nonlinear Schrödinger equation	4
Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group	4
Construction of high regularity invariant measures for the 2D Euler equations and remarks on the growth of the solutions	4
Periodic solutions to integro-differential equations: variational formulation, symmetry, and regularity	3
A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory	3
Steady solutions for the Schrödinger map equation	3
A PDE framework of consensus-based optimization for objectives with multiple global minimizers	3
Asymptotic stability of the sine-Gordon kinks under perturbations in weighted Sobolev norms	3
A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation	3
Lotka–Volterra competition-diffusion system: the critical competition case	3
Statistical solutions to the Schrödinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation	2
On the growth of generalized Fourier coefficients of restricted eigenfunctions	2
On the limiting amplitude principle for the wave equation with variable coefficients	2
Gradient estimate and universal bounds for semilinear elliptic equations on RCD ^* (K,N) metric measure spaces	2
Shape optimization for nonlocal anisotropic energies	2
Convergence towards equilibrium for a model with partial diffusion	2
Well-posedness of Hamilton-Jacobi equations in the Wasserstein space: non-convex Hamiltonians and common noise	2
Dirichlet problems in perforated domains	2
Boundary renormalisation of SPDEs	2
Condenser capacities and capacitary potentials for unbounded sets, and global p -harmonic Green functions on metric spaces	2
The Hele–Shaw flow as the sharp interface limit of the Cahn–Hilliard equation with disparate mobilities	2
Cost of observability inequalities for elliptic equations in 2-d with potentials and applications to control theory	2
From resolvent expansions at zero to long time wave expansions	2
Robustness of uniform attractors under perturbations on the symbol space	2

Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit	2
A Hamilton-Jacobi approach to evolution of dispersal	2
Energy transfer, weak resonance, and Fermi’s golden rule in Hamiltonian nonlinear Klein-Gordon equations	2
Spontaneous curvature effects of the Helfrich flow: singularities and convergence	2
On the motion of a small rigid body in a viscous compressible fluid	2