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 2021-11-01 to 2025-11-01.)

Article	Citations
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term	35
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter	21
A non-equilibrium multi-component model with miscible conditions	19
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric	17
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion	16
Robust estimation of effective diffusions from multiscale data	16
Limiting dynamics for stochastic Navier-Stokes equations on expanding unbounded domains	15
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials	14
Strong convergence rates of a fully discrete scheme for the stochastic Cahn-Hilliard equation with additive noise	14
Accurate deterministic projection methods for stiff detonation waves	13
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion	13
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise	11
Mean-field limit of point vortices for the lake equations	11
Cubic lifespan of two-dimensional hydroelastic waves	11
Global well-posedness and decay of the low-regularity solution to the 3D density-dependent magnetohydrodynamic equations with vacuum	10
Revisiting the central limit theorems for the SGD-type methods	10
On BV-instability and existence for linearized radial Euler flows	10
Some flocking properties for a model of collective dynamics with topological interactions	9
A variational characterization of 2-soliton profiles for the KdV equation	9
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness	8
Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness	8
<!--StartFragment --><span class="cf0">On stability of critical points for the high dimensional Onsager functional with Maier-Saupe potential</span><!--EndFragment -->	7
Lack of exact controllability of a higher-order BBM system	7
Finite element and integral equation methods to conical diffraction by imperfectly conducting gratings	7
Kinetic description and convergence analysis of genetic algorithms for global optimization	7

Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave	7
Stability of contact lines in 2D stationary Benard convection	6
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data	6
Fully discrete low-regularity integrator for the Korteweg–de Vries equation	6
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain	6
Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations	6
Least squares estimation for delay McKean–Vlasov stochastic differential equations and interacting particle systems	6
Epidemic dynamics and wealth inequality under two feedback control strategies	6
Scalar auxiliary variable approach in iterative minimization formulation for saddle point search	6
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe	6
Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions	6
Resonant duet modeling approach for the spectral analysis of strongly nonlinear wave turbulent signal	6
A Nonlocal diffusion model with $H^1$ convergence for Dirichlet Boundary	5
A quadratic spline projection method for computing stationary densities of random maps	5
Global mild solutions of the non-cutoff Vlasov–Poisson–Boltzmann system	5
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations	5
The Bramson correction for integro-differential Fisher–KPP equations	5
A note on enhanced dissipation of time-dependent shear flows	5
A quantitative version of the transversality theorem	5
Rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of gradient-dependent semilinear heat equations	5
Spectral Galerkin Method for Solving Elastic Wave Scattering Problems with Multiple Open Arcs	4
Low Mach number limit of the full compressible mhd equations with Cattaneo’s heat transfer law	4
Semilinear eigenvalue problem: Parametric analyticity and the uncertainty quantification	4
Unipolar Euler–Poisson equations with time-dependent damping: blow-up and global existence	4
Nonradiating sources of Maxwell's equations	4
On the expected number of real roots of random polynomials arising from evolutionary game theory	4
Emergent behaviors of Kuramoto model with frustration under switching topology	4
Adaptive image processing: A bilevel structure learning approach for mixed-order total variation regularizers	4
On global solutions to the inhomogeneous, incompressible Navier–Stokes equations with temperature-dependent coefficients	4
The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$	4
KAM Theorem towards the Weak Diophantine Condition	4
Stability for the 2D Micropolar equations with partial dissipation near Couette flow	4
A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model	4
Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows	4
On a system associated with p-wave superconductivity in $\mathbb{R}^2$	4
On the stochastic synchronization of the Winfree model with a multiplicative noise	3
Description of random level sets by polynomial chaos expansions	3
A note on first order quasi-stationary mean field games	3
Existence and uniqueness for “good” Boussinesq equations with quasi-periodic initial data	3
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity	3
On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model	3
<!--StartFragment --> <span class="cf0">Continuity properties of the solution map for a non-local elliptic-hyperbolic system related to the short pulse equation</span> <!--EndFrag	3
Optimal large-time behavior of the compressible Phan–Thein–Tanner model	3
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint	3
The unconditionally optimal $H^1$-norm error estimate of a semi-implicit Galerkin FEMs VSBDF2 scheme for solving semilinear parabolic equations	3
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader	3
Pattern alternations induced by nonlocal interactions	3
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics	3
The critical curve for periodic degenerate Lane-Emden type system	3
Recovery of a distributed order fractional derivative in an unknown medium	3

Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation	3
<!--StartFragment --> <span class="cf0">Approximating Korobov functions via quantum circuits</span><!--EndFragment -->	3
An optimal design of random surfaces in solar cells via mini-batch stochastic gradient approach	3
Identification of time-varying source term in time-fractional diffusion equations	3
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain	3
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation	3
A new <i>priori</i> error estimation of nonconforming element for two-dimensional linearly elastic shallow shell equations	3
A nonhomogeneous initial boundary-value problem for the Hirota equation posed on the half lineA nonhomogeneous initial boundary-value problem for the Hirota equation posed on the half line<br>&l	3
A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer	3
Zero dissipation limit problem of 1-D Navier–Stokes equations	3
A note on optimization formulations of Markov decision processes	2
Vanishing viscosity limit for compressible magnetohydrodynamic equations with transverse background magnetic field	2
A kind of time-inconsistent corporate international investment problem with discontinuous cash flow	2
Weak time-periodic solutions to the Landau-Lifshitz-Bloch equation with an external magnetic field	2
Global regularity of 2D Boussinesq-Voigt equations	2
Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case	2
Tensor PDE model of biological network formation	2
On the instability of travelling wave solutions for the transport-Stokes equation	2
Energy method for the Boltzmann equation of monatomic gaseous mixtures	2
Hyperbolicity study of models for turbulent two-phase flows obtained from the variational principle	2
A note on the relaxation process in a class of non-equilibrium two-phase flow models	2
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results	2
A diffuse interface approach for vector-valued PDEs on surfaces	2
Global existence of perturbed Navier–Stokes system around Landau solutions with slowly decaying oscillation	2
Existence and stability of transonic shocks for two-dimensional steady Euler flows with magnetic effect	2
Universal approximation of symmetric and anti-symmetric functions	2
Isogeometric analysis-based numerical methods for the Allen-Cahn equation: Space-time continuous Petrov-Galerkin method and adaptive BDF2 method	2
Autonomous vehicles driving traffic: The Cauchy problem	2
Reaction-diffusion equations derived from kinetic models and their Turing instability	2
Homogenization of parabolic systems with singular perturbations	2
Stability properties of the steady state for the isentropic compressible Navier–Stokes equations with density dependent viscosity in bounded intervals	2
The Cahn-Hilliard-Boussinesq system with singular potential	2
Blind super-resolution of point sources via fast iterative hard thresholding	2
Stabilized exponential time differencing schemes for the convective Allen–Cahn equation	2
Existence and large time behavior for a dissipative variant of the rotational NLS equation	2