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 2021-05-01 to 2025-05-01.)

Article	Citations
Cubic lifespan of two-dimensional hydroelastic waves	30
Accurate deterministic projection methods for stiff detonation waves	13
Strong convergence rates of a fully discrete scheme for the stochastic Cahn-Hilliard equation with additive noise	13
Limiting dynamics for stochastic Navier-Stokes equations on expanding unbounded domains	13
A non-equilibrium multi-component model with miscible conditions	12
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter	12
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term	12
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric	11
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion	10
Robust estimation of effective diffusions from multiscale data	10
Mean-field limit of point vortices for the lake equations	9
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise	9
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials	9
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion	8
Global well-posedness and decay of the low-regularity solution to the 3D density-dependent magnetohydrodynamic equations with vacuum	8
Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness	8
A variational characterization of 2-soliton profiles for the KdV equation	8
Kinetic description and convergence analysis of genetic algorithms for global optimization	7
On BV-instability and existence for linearized radial Euler flows	7
Some flocking properties for a model of collective dynamics with topological interactions	7
Lack of exact controllability of a higher-order BBM system	6
Revisiting the central limit theorems for the SGD-type methods	6
Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave	6
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness	5
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe	5

Scalar auxiliary variable approach in iterative minimization formulation for saddle point search	5
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data	5
Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations	5
Stability of contact lines in 2D stationary Benard convection	5
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain	5
Least squares estimation for delay McKean–Vlasov stochastic differential equations and interacting particle systems	5
Fully discrete low-regularity integrator for the Korteweg–de Vries equation	4
Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions	4
The Bramson correction for integro-differential Fisher–KPP equations	4
Epidemic dynamics and wealth inequality under two feedback control strategies	4
A quadratic spline projection method for computing stationary densities of random maps	4
A quantitative version of the transversality theorem	4
Resonant duet modeling approach for the spectral analysis of strongly nonlinear wave turbulent signal	4
A note on enhanced dissipation of time-dependent shear flows	4
The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$	3
On a system associated with p-wave superconductivity in $\mathbb{R}^2$	3
Rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of gradient-dependent semilinear heat equations	3
A Nonlocal diffusion model with $H^1$ convergence for Dirichlet Boundary	3
Global mild solutions of the non-cutoff Vlasov–Poisson–Boltzmann system	3
Emergent behaviors of Kuramoto model with frustration under switching topology	3
Unipolar Euler–Poisson equations with time-dependent damping: blow-up and global existence	3
Adaptive image processing: A bilevel structure learning approach for mixed-order total variation regularizers	3
Recovery of a distributed order fractional derivative in an unknown medium	3
On the expected number of real roots of random polynomials arising from evolutionary game theory	3
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations	3
Low Mach number limit of the full compressible mhd equations with Cattaneo’s heat transfer law	3
Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows	3
On global solutions to the inhomogeneous, incompressible Navier–Stokes equations with temperature-dependent coefficients	3
A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer	3
A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model	3
Stability for the 2D Micropolar equations with partial dissipation near Couette flow	3
Spectral Galerkin Method for Solving Elastic Wave Scattering Problems with Multiple Open Arcs	3
Semilinear eigenvalue problem: Parametric analyticity and the uncertainty quantification	3
KAM Theorem towards the Weak Diophantine Condition	3
The critical curve for periodic degenerate Lane-Emden type system	3
Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation	2
An optimal design of random surfaces in solar cells via mini-batch stochastic gradient approach	2
On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model	2
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity	2
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation	2
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain	2
Zero dissipation limit problem of 1-D Navier–Stokes equations	2
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics	2
Description of random level sets by polynomial chaos expansions	2
Optimal large-time behavior of the compressible Phan–Thein–Tanner model	2
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader	2
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint	2
A new <i>priori</i> error estimation of nonconforming element for two-dimensional linearly elastic shallow shell equations	2
On the stochastic synchronization of the Winfree model with a multiplicative noise	2
Existence and uniqueness for “good” Boussinesq equations with quasi-periodic initial data	2

Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results	2
Identification of time-varying source term in time-fractional diffusion equations	2
Pattern alternations induced by nonlocal interactions	2