Communications in Mathematical Sciences

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 2021-06-01 to 2025-06-01.)
ArticleCitations
Cubic lifespan of two-dimensional hydroelastic waves31
Accurate deterministic projection methods for stiff detonation waves14
Limiting dynamics for stochastic Navier-Stokes equations on expanding unbounded domains14
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term14
Strong convergence rates of a fully discrete scheme for the stochastic Cahn-Hilliard equation with additive noise14
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter13
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric12
A non-equilibrium multi-component model with miscible conditions12
Robust estimation of effective diffusions from multiscale data12
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion11
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion11
Mean-field limit of point vortices for the lake equations10
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise10
Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness9
Kinetic description and convergence analysis of genetic algorithms for global optimization9
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials9
A variational characterization of 2-soliton profiles for the KdV equation9
On BV-instability and existence for linearized radial Euler flows8
Some flocking properties for a model of collective dynamics with topological interactions8
Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave7
Global well-posedness and decay of the low-regularity solution to the 3D density-dependent magnetohydrodynamic equations with vacuum6
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe6
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness6
Lack of exact controllability of a higher-order BBM system6
Revisiting the central limit theorems for the SGD-type methods6
Stability of contact lines in 2D stationary Benard convection5
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain5
Scalar auxiliary variable approach in iterative minimization formulation for saddle point search5
Fully discrete low-regularity integrator for the Korteweg–de Vries equation5
Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations5
Least squares estimation for delay McKean–Vlasov stochastic differential equations and interacting particle systems5
Epidemic dynamics and wealth inequality under two feedback control strategies5
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data5
A quantitative version of the transversality theorem4
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations4
The Bramson correction for integro-differential Fisher–KPP equations4
Resonant duet modeling approach for the spectral analysis of strongly nonlinear wave turbulent signal4
A note on enhanced dissipation of time-dependent shear flows4
Rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of gradient-dependent semilinear heat equations4
Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions4
A quadratic spline projection method for computing stationary densities of random maps4
Global mild solutions of the non-cutoff Vlasov–Poisson–Boltzmann system4
A Nonlocal diffusion model with $H^1$ convergence for Dirichlet Boundary3
KAM Theorem towards the Weak Diophantine Condition3
Unipolar Euler–Poisson equations with time-dependent damping: blow-up and global existence3
A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer3
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>&l3
On the stochastic synchronization of the Winfree model with a multiplicative noise3
On global solutions to the inhomogeneous, incompressible Navier–Stokes equations with temperature-dependent coefficients3
Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows3
Emergent behaviors of Kuramoto model with frustration under switching topology3
On the expected number of real roots of random polynomials arising from evolutionary game theory3
Semilinear eigenvalue problem: Parametric analyticity and the uncertainty quantification3
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
Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation3
An optimal design of random surfaces in solar cells via mini-batch stochastic gradient approach3
The critical curve for periodic degenerate Lane-Emden type system3
Low Mach number limit of the full compressible mhd equations with Cattaneo’s heat transfer law3
Spectral Galerkin Method for Solving Elastic Wave Scattering Problems with Multiple Open Arcs3
Stability for the 2D Micropolar equations with partial dissipation near Couette flow3
Adaptive image processing: A bilevel structure learning approach for mixed-order total variation regularizers3
Recovery of a distributed order fractional derivative in an unknown medium3
Zero dissipation limit problem of 1-D Navier–Stokes equations3
Existence and uniqueness for “good” Boussinesq equations with quasi-periodic initial data3
A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model3
On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model2
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint2
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation2
Reaction-diffusion equations derived from kinetic models and their Turing instability2
The Cahn-Hilliard-Boussinesq system with singular potential2
A note on the relaxation process in a class of non-equilibrium two-phase flow models2
A new <i>priori</i> error estimation of nonconforming element for two-dimensional linearly elastic shallow shell equations2
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity2
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader2
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain2
The unconditionally optimal $H^1$-norm error estimate of a semi-implicit Galerkin FEMs VSBDF2 scheme for solving semilinear parabolic equations2
Homogenization of parabolic systems with singular perturbations2
Pattern alternations induced by nonlocal interactions2
Description of random level sets by polynomial chaos expansions2
Optimal large-time behavior of the compressible Phan–Thein–Tanner model2
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics2
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results2
A kind of time-inconsistent corporate international investment problem with discontinuous cash flow2
Identification of time-varying source term in time-fractional diffusion equations2
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