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 2021-11-01 to 2025-11-01.)

Article	Citations
Slow periodic homogenization for Hamilton–jacobi equations	110
Logarithmic Gross-Pitaevskii equation	26
On solutions to −Δ u = Vu near infinity	22
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
Initial data identification in space dependent conservation laws and Hamilton-Jacobi equations	13
Uniform convergence rates and Lipschitz regularity estimates in periodic homogenization of high-contrast elliptic systems	13
Taxis-driven persistent localization in a degenerate Keller-Segel system	13
Non-degeneracy, stability, and symmetry for the fractional Caffarelli–Kohn–Nirenberg inequality	10
On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case	10
Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces	9
Dirichlet problem for weakly harmonic maps with rough data	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
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
Erratum to “optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation”	8
Optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation	7
The streamlines of ∞-harmonic functions obey the inverse mean curvature flow	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
Some applications of heat flow to Laplace eigenfunctions	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	6

Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted L ^∞ spaces	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
Stationary equilibria and their stability in a Kuramoto MFG with strong interaction	6
Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow	5
Existence of martingale solutions to a nonlinearly coupled stochastic fluid-structure interaction problem	5
Nonlinear enhanced dissipation in viscous Burgers type equations II	5
Quasilinear wave equations on Schwarzschild–de Sitter	5
Sharp convergence rates for Darcy’s law	5
Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential	5
Strichartz estimates for Maxwell equations in media: the partially anisotropic case	5
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications	5
Inhomogeneous global minimizers to the one-phase free boundary problem	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
The Dirichlet-to-Neumann map for a semilinear wave equation on Lorentzian manifolds	5
L ^q estimates on the restriction of Schrödinger eigenfunctions with singular potentials	4
A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients	4
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits	4
Global refined Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes equations with large density	4
Quantum entanglement and the growth of Laplacian eigenfunctions	4
Resolvents of Bochner Laplacians in the semiclassical limit	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
Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group	4
Homogenization of some periodic Hamilton-Jacobi equations with defects	4
Quantitative Hardy inequalities for magnetic Hamiltonians	4
Global dynamics of small data solutions to the derivative nonlinear Schrödinger equation	4
Construction of high regularity invariant measures for the 2D Euler equations and remarks on the growth of the solutions	4
A PDE framework of consensus-based optimization for objectives with multiple global minimizers	3
Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit	3
Steady solutions for the Schrödinger map equation	3
Spectral asymptotics for the vectorial damped wave equation	3
About the wave equation outside two strictly convex obstacles	3
Remarks on local regularity of axisymmetric solutions to the 3D Navier–Stokes equations	3
Periodic solutions to integro-differential equations: variational formulation, symmetry, and regularity	3
Well-posedness of Hamilton-Jacobi equations in the Wasserstein space: non-convex Hamiltonians and common noise	3
Dirichlet problems in perforated domains	3
A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory	3
A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation	3
Lotka–Volterra competition-diffusion system: the critical competition case	3
Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance	3
On the limiting amplitude principle for the wave equation with variable coefficients	3
Propagation of chaos for the Cucker-Smale systems under heavy tail communication	2
Reversed Strichartz estimates for wave on non-trapping asymptotically hyperbolic manifolds and applications	2
Convergence towards equilibrium for a model with partial diffusion	2
Shape optimization for nonlocal anisotropic energies	2
Boundary renormalisation of SPDEs	2
From resolvent expansions at zero to long time wave expansions	2
The Hele–Shaw flow as the sharp interface limit of the Cahn–Hilliard equation with disparate mobilities	2
Monotone solutions for mean field games master equations: continuous state space and common noise	2

Transport of Gaussian measures under the flow of one-dimensional fractional nonlinear Schrödinger equations	2
Propagation of velocity moments and uniqueness for the magnetized Vlasov–Poisson system	2
Boundary Lebesgue mixed-norm estimates for non-stationary Stokes systems with VMO coefficients	2
Spontaneous curvature effects of the Helfrich flow: singularities and convergence	2
A Hamilton-Jacobi approach to evolution of dispersal	2
A fractional Hopf Lemma for sign-changing solutions	2
On the motion of a small rigid body in a viscous compressible fluid	2
Stable discontinuous stationary solutions to reaction-diffusion-ODE systems	2
Mean field limit for congestion dynamics	2
Condenser capacities and capacitary potentials for unbounded sets, and global p -harmonic Green functions on metric spaces	2
Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange	2
On the growth of generalized Fourier coefficients of restricted eigenfunctions	2
Cost of observability inequalities for elliptic equations in 2-d with potentials and applications to control theory	2
A variational approach to first order kinetic mean field games with local couplings	2