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

Article	Citations
Slow periodic homogenization for Hamilton–jacobi equations	26
On solutions to −Δ u = Vu near infinity	23
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
Logarithmic Gross-Pitaevskii equation	13
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	11
Non-degeneracy, stability, and symmetry for the fractional Caffarelli–Kohn–Nirenberg inequality	10
Taxis-driven persistent localization in a degenerate Keller-Segel system	10
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
The Pauli-Poisson equation and its semiclassical limit	9
Dirichlet problem for weakly harmonic maps with rough data	9
Erratum to “optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation”	9
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
Propagation of moments and regularity for the Vlasov-Maxwell-Bopp-Podolsky model and its Pauli-Villars type generalizations	8
On asymptotics of Robin eigenvalues in the Dirichlet limit	7
The streamlines of ∞-harmonic functions obey the inverse mean curvature flow	7
Carleman estimates and boundedness of associated multiplier operators	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
Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension	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

Maximal speed of quantum propagation for the Hartree equation	6
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications	6
Scaling asymptotics of Wigner distributions of harmonic oscillator orbital coherent states	6
Existence of martingale solutions to a nonlinearly coupled stochastic fluid-structure interaction problem	6
Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted L ^∞ spaces	6
Resolvents of Bochner Laplacians in the semiclassical limit	5
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds	5
Sharp convergence rates for Darcy’s law	5
Nonlinear enhanced dissipation in viscous Burgers type equations II	5
Quasilinear wave equations on Schwarzschild–de Sitter	5
Strichartz estimates for Maxwell equations in media: the partially anisotropic case	5
Homogenization of some periodic Hamilton-Jacobi equations with defects	5
Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential	5
Inhomogeneous global minimizers to the one-phase free boundary problem	5
L ^q estimates on the restriction of Schrödinger eigenfunctions with singular potentials	5