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 2021-06-01 to 2025-06-01.)

Article	Citations
New asymptotics for strong solutions of the strongly stratified Boussinesq system without rotation and for large ill-prepared initial data	86
Slow periodic homogenization for Hamilton–jacobi equations	20
Logarithmic Gross-Pitaevskii equation	19
Low regularity well-posedness for two-dimensional deep gravity water waves with constant vorticity	17
On solutions to −Δ u = Vu near infinity	16
Uniform convergence rates and Lipschitz regularity estimates in periodic homogenization of high-contrast elliptic systems	15
Initial data identification in space dependent conservation laws and Hamilton-Jacobi equations	13
Taxis-driven persistent localization in a degenerate Keller-Segel system	13
Dirichlet problem for weakly harmonic maps with rough data	13
Segregated solutions for nonlinear Schrödinger systems with weak interspecies forces	12
Erratum to “optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation”	12
On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case	12
The Pauli-Poisson equation and its semiclassical limit	11
Asymptotic stability of solutions to the Navier–Stokes–Fourier system driven by inhomogeneous Dirichlet boundary conditions	11
Analysis of the generalized Aw-Rascle model	10
Propagation of moments and regularity for the Vlasov-Maxwell-Bopp-Podolsky model and its Pauli-Villars type generalizations	10
The streamlines of ∞-harmonic functions obey the inverse mean curvature flow	9
Optimal relaxation of bump-like solutions of the one-dimensional Cahn–Hilliard equation	9
Stochastic homogenization of nonconvex viscous Hamilton-Jacobi equations in one space dimension	8
Scaling asymptotics of Wigner distributions of harmonic oscillator orbital coherent states	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
Asymptotic estimates for the wave functions of the Dirac-Coulomb operator and applications	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
Quantitative mixing and dissipation enhancement property of Ornstein–Uhlenbeck flow	6

New Lipschitz estimates and long-time asymptotic behavior for porous medium and fast diffusion equations	6
Inhomogeneous global minimizers to the one-phase free boundary problem	6
Stationary equilibria and their stability in a Kuramoto MFG with strong interaction	6
Maximal speed of quantum propagation for the Hartree equation	6
Carleman estimates and boundedness of associated multiplier operators	6
Nonlinear enhanced dissipation in viscous Burgers type equations II	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
Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential	6
Quasilinear wave equations on Schwarzschild–de Sitter	5
Resolvents of Bochner Laplacians in the semiclassical limit	5
Strichartz estimates for Maxwell equations in media: the partially anisotropic case	5
Sharp convergence rates for Darcy’s law	5
On smoothness and uniqueness of multi-solitons of the non-linear Schrödinger equations	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
A superposition principle for the inhomogeneous continuity equation with Hellinger–Kantorovich-regular coefficients	4
Global refined Fujita-Kato solution of 3-D inhomogeneous incompressible Navier-Stokes equations with large density	4
Non-Newtonian two-phase thin-film problem: Local existence, uniqueness, and stability	4
Homogenization of some periodic Hamilton-Jacobi equations with defects	4
Quantitative Hardy inequalities for magnetic Hamiltonians	4
On the Cauchy problem for the Muskat equation with non-Lipschitz initial data	4
Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group	4
Polynomial convergence rate for quasi-periodic homogenization of Hamilton-Jacobi equations and application to ergodic estimates	4
L²-type Lyapunov functions for hyperbolic scalar conservation laws	4
Dimension reduction techniques in deterministic mean field games	4
Quantum entanglement and the growth of Laplacian eigenfunctions	4
About the wave equation outside two strictly convex obstacles	4
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits	4
Nondispersive solutions to the mass critical half-wave equation in two dimensions	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
A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation	3
Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit	3
Construction of high regularity invariant measures for the 2D Euler equations and remarks on the growth of the solutions	3
Spectral asymptotics for the vectorial damped wave equation	3
Global existence for the two-dimensional Kuramoto-Sivashinsky equation with advection	3
Steady solutions for the Schrödinger map equation	3
On the limiting amplitude principle for the wave equation with variable coefficients	3
A PDE framework of consensus-based optimization for objectives with multiple global minimizers	3
A Globally Stable Self-Similar Blowup Profile in Energy Supercritical Yang-Mills Theory	3
Small data global regularity for half-wave maps in n = 4 dimensions	3
Lotka–Volterra competition-diffusion system: the critical competition case	3
Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ³ nonlinear response	3
From resolvent expansions at zero to long time wave expansions	2
A fractional Hopf Lemma for sign-changing solutions	2
Cost of observability inequalities for elliptic equations in 2-d with potentials and applications to control theory	2
Boundary Lebesgue mixed-norm estimates for non-stationary Stokes systems with VMO coefficients	2
Dirichlet problems in perforated domains	2
A Hamilton-Jacobi approach to evolution of dispersal	2

On the growth of generalized Fourier coefficients of restricted eigenfunctions	2
Shape optimization for nonlocal anisotropic energies	2
Convergence towards equilibrium for a model with partial diffusion	2
Monotone solutions for mean field games master equations: continuous state space and common noise	2
Well-posedness of Hamilton-Jacobi equations in the Wasserstein space: non-convex Hamiltonians and common noise	2
Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange	2
Boundary renormalisation of SPDEs	2
Spontaneous curvature effects of the Helfrich flow: singularities and convergence	2
The Hele–Shaw flow as the sharp interface limit of the Cahn–Hilliard equation with disparate mobilities	2
Condenser capacities and capacitary potentials for unbounded sets, and global p -harmonic Green functions on metric spaces	2
Periodic homogenization for weakly elliptic Hamilton-Jacobi-Bellman equations with critical fractional diffusion	2
Spectral theory for Maxwell’s equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance	2