OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Partial Differential Equations is 5. 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.)

Article	Citations
Slow periodic homogenization for Hamilton–jacobi equations	18
On solutions to −Δ u = Vu near infinity	16
New asymptotics for strong solutions of the strongly stratified Boussinesq system without rotation and for large ill-prepared initial data	15
Low regularity well-posedness for two-dimensional deep gravity water waves with constant vorticity	15
Initial data identification in space dependent conservation laws and Hamilton-Jacobi equations	12
Logarithmic Gross-Pitaevskii equation	12
Uniform convergence rates and Lipschitz regularity estimates in periodic homogenization of high-contrast elliptic systems	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
On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case	11
Erratum to “optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation”	10
Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces	10
The Pauli-Poisson equation and its semiclassical limit	10
Analysis of the generalized Aw-Rascle model	9
Propagation of moments and regularity for the Vlasov-Maxwell-Bopp-Podolsky model and its Pauli-Villars type generalizations	8
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
On asymptotics of Robin eigenvalues in the Dirichlet limit	8
Stationary equilibria and their stability in a Kuramoto MFG with strong interaction	7
Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow	7
Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted L ^∞ spaces	7
Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system	7
Scaling asymptotics of Wigner distributions of harmonic oscillator orbital coherent states	7
Existence and regularity for perturbed Stokes system with critical drift	7
Existence of martingale solutions to a nonlinearly coupled stochastic fluid-structure interaction problem	6

Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential	6
New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations	6
Maximal speed of quantum propagation for the Hartree equation	6
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications	6
Nonlinear enhanced dissipation in viscous Burgers type equations II	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
Homogenization of some periodic Hamilton-Jacobi equations with defects	5
Quantitative Hardy inequalities for magnetic Hamiltonians	5
Resolvents of Bochner Laplacians in the semiclassical limit	5
A quasilinear Keller-Segel model with saturated discontinuous advection	5
A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients	5
Quasilinear wave equations on Schwarzschild–de Sitter	5
Strichartz estimates for Maxwell equations in media: the partially anisotropic case	5
L ^q estimates on the restriction of Schrödinger eigenfunctions with singular potentials	5
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds	5