OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Partial Differential Equations is 4. 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 2021-05-01 to 2025-05-01.)

Article	Citations
New asymptotics for strong solutions of the strongly stratified Boussinesq system without rotation and for large ill-prepared initial data	83
Slow periodic homogenization for Hamilton–jacobi equations	20
Uniform convergence rates and Lipschitz regularity estimates in periodic homogenization of high-contrast elliptic systems	17
Logarithmic Gross-Pitaevskii equation	17
On solutions to −Δ u = Vu near infinity	16
Low regularity well-posedness for two-dimensional deep gravity water waves with constant vorticity	14
Nodal sets for broken quasilinear partial differential equations with Dini coefficients	13
Initial data identification in space dependent conservation laws and Hamilton-Jacobi equations	12
Taxis-driven persistent localization in a degenerate Keller-Segel system	11
Dirichlet problem for weakly harmonic maps with rough data	11
On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case	11
Asymptotic stability of solutions to the Navier–Stokes–Fourier system driven by inhomogeneous Dirichlet boundary conditions	10
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
Analysis of the generalized Aw-Rascle model	9
The Pauli-Poisson equation and its semiclassical limit	9
The streamlines of ∞-harmonic functions obey the inverse mean curvature flow	8
Optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation	8
A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems	8
Sticky particle Cucker–Smale dynamics and the entropic selection principle for the 1D Euler-alignment system	7
Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension	7
Existence of weak solutions to multiphase Cahn–Hilliard–Darcy and Cahn–Hilliard–Brinkman models for stratified tumor growth with chemotaxis and general source terms	7
Maximal speed of quantum propagation for the Hartree equation	6
Carleman estimates and boundedness of associated multiplier operators	6
Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow	6

Stationary equilibria and their stability in a Kuramoto MFG with strong interaction	6
Scaling asymptotics of Wigner distributions of harmonic oscillator orbital coherent states	6
Inhomogeneous global minimizers to the one-phase free boundary problem	6
New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations	6
Some applications of heat flow to Laplace eigenfunctions	6
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications	6
Existence of martingale solutions to a nonlinearly coupled stochastic fluid-structure interaction problem	6
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
Quasilinear wave equations on Schwarzschild–de Sitter	5
Nonlinear enhanced dissipation in viscous Burgers type equations II	5
On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations	5
Quantitative Hardy inequalities for magnetic Hamiltonians	4
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds	4
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits	4
On the Cauchy problem for the Muskat equation with non-Lipschitz initial data	4
Quantum entanglement and the growth of Laplacian eigenfunctions	4
Sharp convergence rates for Darcy’s law	4
A weakly turbulent solution to the cubic nonlinear harmonic oscillator on ℝ ² perturbed by a real smooth potential decaying to zero at infinity	4
Dimension reduction techniques in deterministic mean field games	4
Polynomial convergence rate for quasi-periodic homogenization of Hamilton-Jacobi equations and application to ergodic estimates	4
Construction of high regularity invariant measures for the 2D Euler equations and remarks on the growth of the solutions	4
Strichartz estimates for Maxwell equations in media: the partially anisotropic case	4
L²-type Lyapunov functions for hyperbolic scalar conservation laws	4
About the wave equation outside two strictly convex obstacles	4
Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group	4
A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients	4