Communications in Mathematical Sciences

Papers
(The TQCC of Communications in Mathematical Sciences is 3. 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 2022-01-01 to 2026-01-01.)
ArticleCitations
A non-equilibrium multi-component model with miscible conditions41
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric22
Strong convergence rates of a fully discrete scheme for the stochastic Cahn-Hilliard equation with additive noise20
Robust estimation of effective diffusions from multiscale data18
Accurate deterministic projection methods for stiff detonation waves17
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion17
Mean-field limit of point vortices for the lake equations16
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise15
Limiting dynamics for stochastic Navier-Stokes equations on expanding unbounded domains15
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion14
Cubic lifespan of two-dimensional hydroelastic waves14
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term12
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials12
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter12
Revisiting the central limit theorems for the SGD-type methods11
Global well-posedness and decay of the low-regularity solution to the 3D density-dependent magnetohydrodynamic equations with vacuum11
On BV-instability and existence for linearized radial Euler flows11
Some flocking properties for a model of collective dynamics with topological interactions10
A variational characterization of 2-soliton profiles for the KdV equation10
Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness9
Finite element and integral equation methods to conical diffraction by imperfectly conducting gratings8
Lack of exact controllability of a higher-order BBM system8
<!--StartFragment --><span class="cf0">On stability of critical points for the high dimensional Onsager functional with Maier-Saupe potential</span><!--EndFragment -->8
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness8
Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave8
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe7
Kinetic description and convergence analysis of genetic algorithms for global optimization7
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data7
Least squares estimation for delay McKean–Vlasov stochastic differential equations and interacting particle systems6
Epidemic dynamics and wealth inequality under two feedback control strategies6
Fully discrete low-regularity integrator for the Korteweg–de Vries equation6
Stability of contact lines in 2D stationary Benard convection6
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain6
Resonant duet modeling approach for the spectral analysis of strongly nonlinear wave turbulent signal6
Scalar auxiliary variable approach in iterative minimization formulation for saddle point search6
Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations6
Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions6
Rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of gradient-dependent semilinear heat equations5
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations5
Low Mach number limit of the full compressible mhd equations with Cattaneo’s heat transfer law5
Spectral Galerkin Method for Solving Elastic Wave Scattering Problems with Multiple Open Arcs5
A note on enhanced dissipation of time-dependent shear flows5
Global mild solutions of the non-cutoff Vlasov–Poisson–Boltzmann system5
The Bramson correction for integro-differential Fisher–KPP equations5
Emergent behaviors of Kuramoto model with frustration under switching topology5
A quadratic spline projection method for computing stationary densities of random maps5
A quantitative version of the transversality theorem5
Stability for the 2D Micropolar equations with partial dissipation near Couette flow5
KAM Theorem towards the Weak Diophantine Condition5
A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model4
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>&l4
The critical curve for periodic degenerate Lane-Emden type system4
On global solutions to the inhomogeneous, incompressible Navier–Stokes equations with temperature-dependent coefficients4
On the expected number of real roots of random polynomials arising from evolutionary game theory4
The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$4
On a system associated with p-wave superconductivity in $\mathbb{R}^2$4
<!--StartFragment --> <span class="cf0">Continuity properties of the solution map for a non-local elliptic-hyperbolic system related to the short pulse equation</span> <!--EndFrag4
Adaptive image processing: A bilevel structure learning approach for mixed-order total variation regularizers4
A Nonlocal diffusion model with $H^1$ convergence for Dirichlet Boundary4
Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows4
Nonradiating sources of Maxwell's equations4
<!--StartFragment --> <span class="cf0">Approximating Korobov functions via quantum circuits</span><!--EndFragment -->4
Semilinear eigenvalue problem: Parametric analyticity and the uncertainty quantification4
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation3
On the stochastic synchronization of the Winfree model with a multiplicative noise3
A new <i>priori</i> error estimation of nonconforming element for two-dimensional linearly elastic shallow shell equations3
Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation3
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics3
Identification of time-varying source term in time-fractional diffusion equations3
Homogenization of parabolic systems with singular perturbations3
Global regularity of 2D Boussinesq-Voigt equations3
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain3
The unconditionally optimal $H^1$-norm error estimate of a semi-implicit Galerkin FEMs VSBDF2 scheme for solving semilinear parabolic equations3
Zero dissipation limit problem of 1-D Navier–Stokes equations3
Existence and uniqueness for “good” Boussinesq equations with quasi-periodic initial data3
Optimal large-time behavior of the compressible Phan–Thein–Tanner model3
On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model3
Recovery of a distributed order fractional derivative in an unknown medium3
A note on first order quasi-stationary mean field games3
Hyperbolicity study of models for turbulent two-phase flows obtained from the variational principle3
A note on the relaxation process in a class of non-equilibrium two-phase flow models3
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results3
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint3
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader3
An optimal design of random surfaces in solar cells via mini-batch stochastic gradient approach3
A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer3
Unipolar Euler–Poisson equations with time-dependent damping: blow-up and global existence3
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity3
Pattern alternations induced by nonlocal interactions3
A note on optimization formulations of Markov decision processes3
A kind of time-inconsistent corporate international investment problem with discontinuous cash flow3
The Cahn-Hilliard-Boussinesq system with singular potential3
Description of random level sets by polynomial chaos expansions3
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