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 2021-12-01 to 2025-12-01.)

Article	Citations
Slow periodic homogenization for Hamilton–jacobi equations	26
Logarithmic Gross-Pitaevskii equation	22
On solutions to −Δ u = Vu near infinity	14
Low regularity well-posedness for two-dimensional deep gravity water waves with constant vorticity	14
New asymptotics for strong solutions of the strongly stratified Boussinesq system without rotation and for large ill-prepared initial data	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	13
Taxis-driven persistent localization in a degenerate Keller-Segel system	11
Non-degeneracy, stability, and symmetry for the fractional Caffarelli–Kohn–Nirenberg inequality	10
Dirichlet problem for weakly harmonic maps with rough data	9
Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces	9
On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case	9
Erratum to “optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation”	9
The streamlines of ∞-harmonic functions obey the inverse mean curvature flow	8
Asymptotic stability of solutions to the Navier–Stokes–Fourier system driven by inhomogeneous Dirichlet boundary conditions	8
Analysis of the generalized Aw-Rascle model	8
The Pauli-Poisson equation and its semiclassical limit	8
Propagation of moments and regularity for the Vlasov-Maxwell-Bopp-Podolsky model and its Pauli-Villars type generalizations	8
New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations	7
Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension	7
Carleman estimates and boundedness of associated multiplier operators	7
Scaling asymptotics of Wigner distributions of harmonic oscillator orbital coherent states	7
On asymptotics of Robin eigenvalues in the Dirichlet limit	7
Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system	7
Stationary equilibria and their stability in a Kuramoto MFG with strong interaction	7

Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow	7
Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential	6
Existence of martingale solutions to a nonlinearly coupled stochastic fluid-structure interaction problem	6
Nonlinear enhanced dissipation in viscous Burgers type equations II	6
Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted L ^∞ spaces	6
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications	6
Maximal speed of quantum propagation for the Hartree equation	6
Quasilinear wave equations on Schwarzschild–de Sitter	5
Inhomogeneous global minimizers to the one-phase free boundary problem	5
Resolvents of Bochner Laplacians in the semiclassical limit	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
Sharp convergence rates for Darcy’s law	5
Strichartz estimates for Maxwell equations in media: the partially anisotropic case	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
L ^q estimates on the restriction of Schrödinger eigenfunctions with singular potentials	5