OOIR: Observatory of International Research

Papers

(The TQCC of Communications in Mathematical Sciences is 1. 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 2021-04-01 to 2025-04-01.)

Article	Citations
Mean-field limit of point vortices for the lake equations	20
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint	12
Modelling coevolutionary dynamics in heterogeneous SI epidemiological systems across scales	12
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise	11
A second-order well-balanced Lagrange-projection numerical scheme for shallow water Exner equations in 1D and 2D	11
Optimal large-time behavior of the compressible Phan–Thein–Tanner model	10
Stability of measure solutions to a generalized Boltzmann equation with collisions of a random number of particles	9
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity	9
Location of concentrated vortices in planar steady Euler flows	9
Frozen Gaussian sampling: a mesh-free Monte Carlo method for approximating semiclassical Schrödinger equations	8
Analysis and computation for the scattering problem of electromagnetic waves in chiral media	8
A Wasserstein norm for signed measures, with application to non-local transport equation with source term	8
A new <i>priori</i> error estimation of nonconforming element for two-dimensional linearly elastic shallow shell equations	7
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term	7
Existence and uniqueness of smooth solutions for the high-order Landau-Lifshitz type systems	7
Weighted irrigation plans	6
Local synchrony of Kuramoto oscillators on the cartesian product of two unit circles	6
Analysis of a model of cell crawling migration	6
Residual-based <i>a posteriori</i> error estimation for elliptic interface problems approximated by immersed finite element methods	5
Global existence and large time behavior of strong solutions for nonhomogeneous heat conducting Navier–Stokes equations with large initial data and vacuum	5
Identification of time-varying source term in time-fractional diffusion equations	5
A derivative-free conjugate gradient method for large-scale nonlinear systems of monotone equations	5
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter	5
Robust estimation of effective diffusions from multiscale data	5
Asymptotic behavior of solutions to the outflow problem for the compressible Navier–Stokes–Maxwell equations	5

A non-equilibrium multi-component model with miscible conditions	5
Mass-energy threshold dynamics for dipolar quantum gases	4
Description of random level sets by polynomial chaos expansions	4
On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model	4
Van der Waals interactions between two hydrogen atoms: The next orders	4
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions	4
Asymptotic stability of nonlinear wave for an inflow problem to the compressible Navier-Stokes-Korteweg system	4
Combining resampling and reweighting for faithful stochastic optimization	4
Global regularity and time decay for the 2D magneto-micropolar system with fractional dissipation and partial magnetic diffusion	4
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion	4
Global strong solution to the cauchy problem of 2D density-dependent Boussinesq equations for magnetohydrodynamics convection with thermal diffusion	3
Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in $\mathbb{R}^2$	3
On two-dimensional steady hypersonic-limit Euler flows passing ramps and radon measure solutions of compressible Euler equations	3
An optimal design of random surfaces in solar cells via mini-batch stochastic gradient approach	3
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics	3
Global boundedness and eventual regularity of chemotaxis-fluid model driven by porous medium diffusion	3
Sobolev training for physics-informed neural networks	3
ST-SVD factorization and s-diagonal tensors	3
Existence and uniqueness for “good” Boussinesq equations with quasi-periodic initial data	3
High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities	3
Lake equations with an evanescent or emergent island	3
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric	3
Weak solutions for a modified degenerate Cahn–Hilliard model for surface diffusion	3
Operator shifting for model-based policy evaluation	3
Necessary conditions for blow-up solutions to the restricted Euler–Poisson equations	3
Pattern alternations induced by nonlocal interactions	2
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader	2
Multi-frequency averaging and uniform accuracy towards numerical approximations for a Bloch model	2
Cubic lifespan of two-dimensional hydroelastic waves	2
Limiting dynamics for stochastic Navier-Stokes equations on expanding unbounded domains	2
Zero dissipation limit problem of 1-D Navier–Stokes equations	2
Convergence of the Fourier-Galerkin spectral method for the Boltzmann equation with uncertainties	2
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion	2
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials	2
Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave	2
Global well-posedness for a two-dimensional Navier-Stokes-Cahn-Hilliard-Boussinesq system with singular potential	2
Accurate deterministic projection methods for stiff detonation waves	2
Stability and decay rate of viscous contact wave to one-dimensional compressible Navier-Stokes equations	2
The hydrostatic limit of the Beris-Edwards system in dimension two	2
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation	2
Vlasov-Poisson-Fokker-Planck equation in the adiabatic asymptotics	2
On variational image denoising: A total scaled-gradient variation regularization framework and an accelerated operator-splitting solver	2
Strong convergence rates of a fully discrete scheme for the stochastic Cahn-Hilliard equation with additive noise	2
On the stochastic synchronization of the Winfree model with a multiplicative noise	2
Lifespan estimates of solutions to the weakly coupled system of semilinear wave equations with space dependent dampings	2
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain	1
Kinetic model for myxobacteria with directional diffusion	1
Stability of non-degenerate stationary solution in inflow problem for a 1-D radiation hydrodynamics model	1
Ranks of quaternion tensors and corresponding real tensors	1
Stability of large amplitude viscous shock wave for 1-D isentropic Navier–Stokes system in the half space	1

Continuous iterative algorithms for anti-Cheeger cut	1
Energy conservation for 2D Euler with vorticity in $L (\operatorname{log} L)^\alpha$	1
Some flocking properties for a model of collective dynamics with topological interactions	1
Boltzmann mean-field game model for knowledge growth: limits to learning and general utilities	1
A generalized mean-field game model for the dynamics of pedestrians with limited predictive abilities	1
Exponential decay for a class of non-local non-linear Schrödinger equations with localised damping	1
Heterogeneous multiscale methods for rough-wall laminar viscous flow	1
Large, moderate deviations principle and $\alpha$-limit for the 2D stochastic LANS-$\alpha$	1
Global dynamics in a chemotaxis model describing tumor angiogenesis with/without mitosis in any dimension	1
Machine learning methods for autonomous ordinary differential equations	1
Conservative semi-Lagrangian schemes for a general consistent BGK model for inert gas mixtures	1
Global strong solutions to the compressible Navier–Stokes system with potential temperature transport	1
Existence of smooth solutions to the Landau–Fermi–Dirac equation with Coulomb potential	1
Error estimates of the sav method for the coupled Cahn–Hilliard system in copolymer/homopolymer mixtures	1
Gamma convergence for the de Gennes–Cahn–Hilliard energy	1
The Cahn-Hilliard-Boussinesq system with singular potential	1
Global existence and decay estimates of strong solutions for compressible non-isentropic magnetohydrodynamic flows with vacuum	1
A finite element method for Dirichlet boundary control of elliptic partial differential equations	1
Global convergence in infinity-ion-mass limits for bipolar Euler-Poisson system	1
Revisiting the central limit theorems for the SGD-type methods	1
Global existence of a non-local semilinear parabolic equation with advection and applications to shear flow	1
Lack of exact controllability of a higher-order BBM system	1
Semiconductor full quantum hydrodynamic model with non-flat doping profile: I) Stability of steady state	1
Numerical evidence of exponential mixing by alternating shear flows	1
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results	1
Scalar auxiliary variable approach in iterative minimization formulation for saddle point search	1
Improved uniform error bounds of an exponential wave integrator method for the Klein–Gordon–Schrödinger equation with the small coupling constant	1
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain	1
Pointwise wave behavior of the non-isentropic Navier–Stokes equations in half space	1
A variational approach for price formation models in one dimension	1
Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems	1
Global well-posedness and decay of the low-regularity solution to the 3D density-dependent magnetohydrodynamic equations with vacuum	1
On BV-instability and existence for linearized radial Euler flows	1
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption	1
Rarefied gas dynamics with external fields under specular reflection boundary condition	1
Kinetic description and convergence analysis of genetic algorithms for global optimization	1
Reproducing activation function for deep learning	1
The global generalized solution of the chemotaxis-Navier–Stokes system with logistic source	1
Global solution for equations governing the low-frequency ion motion in plasma	1
Initial mixed-boundary value problem for anisotropic fractional degenerate parabolic equations	1
Spectral structure of electromagnetic scattering on arbitrarily shaped dielectrics	1
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness	1
The delayed Cucker–Smale model with attractive power-law potentials	1
A stochastic Galerkin method for the direct and inverse random source problems of the Helmholtz equation	1
Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations	1
The Cauchy problem for a coupling system of Vlasov-Fokker-Planck/compressible Navier-Stokes equations	1
Emergent behaviors of the kinetic Lohe Hermitian sphere model	1
On homogenization of the Landau–Lifshitz equation with rapidly oscillating material coefficient	1