OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Mathematical Sciences 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 2020-03-01 to 2024-03-01.)

Article	Citations
A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drif	25
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime	16
Entropy admissibility of the limit solution for a nonlocal model of traffic flow	15
Deep fictitious play for stochastic differential games	12
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities	10
Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation	10
Identification of time-varying source term in time-fractional diffusion equations	10
Analytically pricing variance swaps in commodity derivative markets under stochastic convenience yields	9
Unidirectional flocks in hydrodynamic Euler alignment system II: singular models	8
Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag	7
Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers	7
Global well-posedness of the stochastic Camassa–Holm equation	7
Complete monotonicity-preserving numerical methods for time fractional ODEs	6
Nonlocal approaches for multilane traffic models	6
Numerical approximations and error analysis of the Cahn–Hilliard equation with dynamic boundary conditions	6
Large-time behavior of solutions to Cauchy problem for bipolar Euler–Poisson system with time-dependent damping in critical case	6
Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems	5
Large time behavior and diffusion limit for a system of balance laws from chemotaxis in multi-dimensions	5
On the continuous time limit of ensemble square root filters	5
On entropic solutions to conservation laws coupled with moving bottlenecks	5
Wave breaking for a model equation for shallow water waves of moderate amplitude	5
Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data	5
A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach	5
Efficient numerical scheme for the anisotropic modified phase-field crystal model with a strong nonlinear vacancy potential	5
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions	5

A sharp critical threshold for a traffic flow model with look-ahead dynamics	5
A fully well-balanced scheme for shallow water equations with Coriolis force	5
Kinetic and hydrodynamic models for the relativistic Cucker–Smale ensemble and emergent behaviors	5
High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities	5
Degenerate Cahn–Hilliard and incompressible limit of a Keller–Segel model	4
Energy stability of variable-step L1-type schemes for time-fractional Cahn–Hilliard model	4
A fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations	4
Mass-energy threshold dynamics for dipolar quantum gases	4
Strong solutions to a modified Michelson-Sivashinsky equation	4
Emergence of stochastic flocking for the discrete Cucker–Smale model with randomly switching topologies	4
On variational principles for polarization responses in electromechanical systems	4
An efficient data-driven solver for Fokker–Planck equations: algorithm and analysis	4
An ellipsoidal statistical model for a monoatomic and a polyatomic gas mixture	4
Universal approximation of symmetric and anti-symmetric functions	4
Global dynamics below the ground states for NLS under partial harmonic confinement	4
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric	4
A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer	4
Complexity of randomized algorithms for underdamped Langevin dynamics	3
Microscopic and macroscopic traffic flow models including random accidents	3
Local error of a splitting scheme for a nonlinear Schrödinger-type equation with random dispersion	3
On dissipative solutions to a simplified hyperbolic Ericksen–Leslie system of liquid crystals	3
An MBO scheme for clustering and semi-supervised clustering of signed networks	3
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint	3
Propagator norm and sharp decay estimates for Fokker–Planck equations with linear drift	3
An improved small data theorem for the Vlasov–Poisson system	3
Galerkin spectral methods for an elliptic optimal control problem with $L^2$-norm state constraint	3
Analysis of a cross-diffusion model for rival gangs interaction in a city	3
A generalized mean-field game model for the dynamics of pedestrians with limited predictive abilities	3
Stationary solutions of outflow problem for full compressible Navier–Stokes–Poisson system: existence, stability and convergence rate	3
A regularity criterion for the Navier–Stokes equations via one diagonal entry of the velocity gradient	3
A general framework for nonlocal Neumann problems	3
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations	3
The Fourier Discrepancy Function	3
Hypocoercivity of stochastic Galerkin formulations for stabilization of kinetic equations	3
On homogenization of the Landau–Lifshitz equation with rapidly oscillating material coefficient	3
ST-SVD factorization and s-diagonal tensors	3
Traveling waves in a Keller–Segel model with logistic growth	2
Numerical evidence of exponential mixing by alternating shear flows	2
Interaction of the elementary waves for shallow water equations with discontinuous topography	2
Lake equations with an evanescent or emergent island	2
Dynkin game for callable-puttable convertible bonds: the valuation and sensitivity analysis	2
Normalized Goldstein-type local minimax method for finding multiple unstable solutions of semilinear elliptic PDEs	2
Blowup for $C^1$ solutions of compressible Euler equations with time-dependent damping	2
The Cauchy problem for a non strictly hyperbolic $3 \times 3$ system of conservation laws arising in polymer flooding	2
Existence, regularity and weak-strong uniqueness for three-dimensional Peterlin viscoelastic model	2
Selection and mutation in a shifting and fluctuating environment	2
Kinetic model for myxobacteria with directional diffusion	2
Analysis of the role of convection in a system describing the tumor-induced angiogenesis	2
Convergence analysis of structure-preserving numerical methods based on Slotboom transformation for the Poisson–Nernst–Planck equations	2
Radon measure solutions for steady hypersonic-limit Euler flows passing two-dimensional finite non-symmetric obstacles and interactions of free concentration layers	2

Continuum limits for adaptive network dynamics	2
An energy stable finite difference scheme for the Ericksen–Leslie system with penalty function and its optimal rate convergence analysis	2
Dual quaternion matrices in multi-agent formation control	2
Tensor PDE model of biological network formation	2
The existence of compressible subsonic impinging jet flow in an arbitrary nozzle	2
Global solutions of 3D tropical climate model with finite energy	2
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader	2
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity	2
Decoherence rhapsody in the photosynthesis process	2
Consistency analysis of bilevel data-driven learning in inverse problems	2
The Bramson correction for integro-differential Fisher–KPP equations	2
Stability of equilibria to the model for non-isothermal electrokinetics	2