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 2022-05-01 to 2026-05-01.)

Article	Citations
Slow periodic homogenization for Hamilton–jacobi equations	28
On solutions to −Δ u = Vu near infinity	18
Low regularity well-posedness for two-dimensional deep gravity water waves with constant vorticity	17
Uniform convergence rates and Lipschitz regularity estimates in periodic homogenization of high-contrast elliptic systems	15
New asymptotics for strong solutions of the strongly stratified Boussinesq system without rotation and for large ill-prepared initial data	15
Logarithmic Gross-Pitaevskii equation	14
Initial data identification in space dependent conservation laws and Hamilton-Jacobi equations	12
Non-degeneracy, stability, and symmetry for the fractional Caffarelli–Kohn–Nirenberg inequality	11
Taxis-driven persistent localization in a degenerate Keller-Segel system	11
Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces	11
On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case	11
Propagation of moments and regularity for the Vlasov-Maxwell-Bopp-Podolsky model and its Pauli-Villars type generalizations	10
Erratum to “optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation”	10
The Pauli-Poisson equation and its semiclassical limit	10
The streamlines of ∞-harmonic functions obey the inverse mean curvature flow	10
Analysis of the generalized Aw-Rascle model	10
Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension	9
On asymptotics of Robin eigenvalues in the Dirichlet limit	9
Existence and regularity for perturbed Stokes system with critical drift	8
Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system	8
Scaling asymptotics of Wigner distributions of harmonic oscillator orbital coherent states	7
Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted L ^∞ spaces	7
Existence of martingale solutions to a nonlinearly coupled stochastic fluid-structure interaction problem	7
Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow	7
Stationary equilibria and their stability in a Kuramoto MFG with strong interaction	7

Maximal speed of quantum propagation for the Hartree equation	7
New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations	7
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications	7
Nonlinear enhanced dissipation in viscous Burgers type equations II	6
A quasilinear Keller-Segel model with saturated discontinuous advection	6
Quasilinear wave equations on Schwarzschild–de Sitter	6
Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential	6
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds	5
Resolvents of Bochner Laplacians in the semiclassical limit	5
Global dynamics of small data solutions to the derivative nonlinear Schrödinger equation	5
Homogenization of some periodic Hamilton-Jacobi equations with defects	5
Strichartz estimates for Maxwell equations in media: the partially anisotropic case	5
A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients	5
Polynomial convergence rate for quasi-periodic homogenization of Hamilton-Jacobi equations and application to ergodic estimates	5
L ^q estimates on the restriction of Schrödinger eigenfunctions with singular potentials	5
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
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits	5
Quantitative Hardy inequalities for magnetic Hamiltonians	5
Spectral asymptotics for the vectorial damped wave equation	4
Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit	4
Lotka–Volterra competition-diffusion system: the critical competition case	4
A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation	4
Remarks on local regularity of axisymmetric solutions to the 3D Navier–Stokes equations	4
Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group	4
A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory	4
Asymptotic stability of the sine-Gordon kinks under perturbations in weighted Sobolev norms	4
On the limiting amplitude principle for the wave equation with variable coefficients	4
Quantum entanglement and the growth of Laplacian eigenfunctions	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	4
Steady solutions for the Schrödinger map equation	4
A PDE framework of consensus-based optimization for objectives with multiple global minimizers	4
Global refined Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes equations with large density	4
A Hamilton-Jacobi approach to evolution of dispersal	3
On the growth of generalized Fourier coefficients of restricted eigenfunctions	3
Dirichlet problems in perforated domains	3
Statistical solutions to the Schrödinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation	3
Boundary renormalisation of SPDEs	3
From resolvent expansions at zero to long time wave expansions	3
Well-posedness of Hamilton-Jacobi equations in the Wasserstein space: non-convex Hamiltonians and common noise	3
Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange	3
Spontaneous curvature effects of the Helfrich flow: singularities and convergence	2
Shape optimization for nonlocal anisotropic energies	2
A variational approach to first order kinetic mean field games with local couplings	2
Propagation of velocity moments and uniqueness for the magnetized Vlasov–Poisson system	2
On the motion of a small rigid body in a viscous compressible fluid	2
Propagation of chaos for the Cucker-Smale systems under heavy tail communication	2
Boundary Lebesgue mixed-norm estimates for non-stationary Stokes systems with VMO coefficients	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

Dissipation enhancing properties for a class of Hamiltonian flows with closed streamlines	2
Mean field limit for congestion dynamics	2
Convergence towards equilibrium for a model with partial diffusion	2
Monotone solutions for mean field games master equations: continuous state space and common noise	2
Cost of observability inequalities for elliptic equations in 2-d with potentials and applications to control theory	2
A fractional Hopf Lemma for sign-changing solutions	2
The lifespan of small data solutions for intermediate long wave equation (ILW)	2
Stable discontinuous stationary solutions to reaction-diffusion-ODE systems	2