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 2020-05-01 to 2024-05-01.)

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
Entropy admissibility of the limit solution for a nonlocal model of traffic flow	19
Global smooth solutions in a two-dimensional cross-diffusion system modeling propagation of urban crime	17
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities	12
Deep fictitious play for stochastic differential games	12
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
Unidirectional flocks in hydrodynamic Euler alignment system II: singular models	9
Analytically pricing variance swaps in commodity derivative markets under stochastic convenience yields	9
Global well-posedness of the stochastic Camassa–Holm equation	8
Large time asymptotic behavior of grain boundaries motion with dynamic lattice misorientations and with triple junctions drag	8
Energy stability of variable-step L1-type schemes for time-fractional Cahn–Hilliard model	7
Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers	7
Numerical approximations and error analysis of the Cahn–Hilliard equation with dynamic boundary conditions	7
Complete monotonicity-preserving numerical methods for time fractional ODEs	6
A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach	6
Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data	6
Large-time behavior of solutions to Cauchy problem for bipolar Euler–Poisson system with time-dependent damping in critical case	6
Nonlocal approaches for multilane traffic models	6
An efficient data-driven solver for Fokker–Planck equations: algorithm and analysis	5
Efficient numerical scheme for the anisotropic modified phase-field crystal model with a strong nonlinear vacancy potential	5
Wave breaking for a model equation for shallow water waves of moderate amplitude	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
On entropic solutions to conservation laws coupled with moving bottlenecks	5

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
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
Degenerate Cahn–Hilliard and incompressible limit of a Keller–Segel model	5
A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer	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
Universal approximation of symmetric and anti-symmetric functions	4
High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities	4
Propagator norm and sharp decay estimates for Fokker–Planck equations with linear drift	4
Strong solutions to a modified Michelson-Sivashinsky equation	4
The Fourier Discrepancy Function	4
Global dynamics below the ground states for NLS under partial harmonic confinement	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
An ellipsoidal statistical model for a monoatomic and a polyatomic gas mixture	4
Complexity of randomized algorithms for underdamped Langevin dynamics	4
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations	4
Hypocoercivity of stochastic Galerkin formulations for stabilization of kinetic equations	4
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric	4
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
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint	3
Blowup for $C^1$ solutions of compressible Euler equations with time-dependent damping	3
On the properties of affine solutions of cold plasma equations	3
Galerkin spectral methods for an elliptic optimal control problem with $L^2$-norm state constraint	3
An MBO scheme for clustering and semi-supervised clustering of signed networks	3
ST-SVD factorization and s-diagonal tensors	3
An improved small data theorem for the Vlasov–Poisson system	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
On homogenization of the Landau–Lifshitz equation with rapidly oscillating material coefficient	3
A regularity criterion for the Navier–Stokes equations via one diagonal entry of the velocity gradient	3
Continuum limits for adaptive network dynamics	3
A general framework for nonlocal Neumann problems	3
Consistency analysis of bilevel data-driven learning in inverse problems	2
Dual quaternion matrices in multi-agent formation control	2
Stability of equilibria to the model for non-isothermal electrokinetics	2
Traveling waves in a Keller–Segel model with logistic growth	2
Reaction-diffusion equations derived from kinetic models and their Turing instability	2
Kinetic model for myxobacteria with directional diffusion	2
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader	2
On two-dimensional steady hypersonic-limit Euler flows passing ramps and radon measure solutions of compressible Euler equations	2
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity	2
Radon measure solutions for steady hypersonic-limit Euler flows passing two-dimensional finite non-symmetric obstacles and interactions of free concentration layers	2
Decoherence rhapsody in the photosynthesis process	2
Low-Mach type approximation of the Navier–Stokes system with temperature and salinity for free surface flows	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
The existence of compressible subsonic impinging jet flow in an arbitrary nozzle	2
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption	2
Global solutions of 3D tropical climate model with finite energy	2
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion	2
Global solutions to rotating motion of isentropic flows with cylindrical symmetry	2
Analysis of the role of convection in a system describing the tumor-induced angiogenesis	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
Microscopic and macroscopic traffic flow models including random accidents	2
The Bramson correction for integro-differential Fisher–KPP equations	2
Tensor PDE model of biological network formation	2
Selection and mutation in a shifting and fluctuating environment	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
Convergence analysis of structure-preserving numerical methods based on Slotboom transformation for the Poisson–Nernst–Planck equations	2
An energy stable finite difference scheme for the Ericksen–Leslie system with penalty function and its optimal rate convergence analysis	2