Communications in Mathematical Sciences

Article	Citations
A non-equilibrium multi-component model with miscible conditions	45
Strong convergence rates of a fully discrete scheme for the stochastic Cahn-Hilliard equation with additive noise	26
Accurate deterministic projection methods for stiff detonation waves	21
Limiting dynamics for stochastic Navier-Stokes equations on expanding unbounded domains	19
Mean-field limit of point vortices for the lake equations	17
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials	17
Robust estimation of effective diffusions from multiscale data	16
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise	15
Cubic lifespan of two-dimensional hydroelastic waves	14
Stochastic-periodic homogenization of Poisson-Nernst-Planck equations in porous media	12
Mathematical theory for the interface mode in an acoustic waveguide bifurcated from a Dirac point	11
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term	10
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion	10
Revisiting the central limit theorems for the SGD-type methods	9
Some flocking properties for a model of collective dynamics with topological interactions	9
A variational characterization of 2-soliton profiles for the KdV equation	8
Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave	8
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness	7
Finite element and integral equation methods to conical diffraction by imperfectly conducting gratings	7
Global well-posedness and large time behavior for compressible non-isothermal nematic liquid crystal flows with vacuum at infinity	7
<!--StartFragment --><span class="cf0">On stability of critical points for the high dimensional Onsager functional with Maier-Saupe potential</span><!--EndFragment -->	7
Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness	7
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe	6
Kinetic description and convergence analysis of genetic algorithms for global optimization	6
<!--StartFragment --><span class="cf0">On the Schr&ouml;dingerization method for linear non-unitary dynamics with optimal dependence on matrix queries</span><!--EndFragment --	6

Fully discrete low-regularity integrator for the Korteweg–de Vries equation	5
Scalar auxiliary variable approach in iterative minimization formulation for saddle point search	5
A quadratic spline projection method for computing stationary densities of random maps	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
Resonant duet modeling approach for the spectral analysis of strongly nonlinear wave turbulent signal	5
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain	5
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data	5
A quantitative version of the transversality theorem	4
Epidemic dynamics and wealth inequality under two feedback control strategies	4
Global mild solutions of the non-cutoff Vlasov–Poisson–Boltzmann system	4
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations	4
A note on enhanced dissipation of time-dependent shear flows	4
Inverse coefficient problem for one-dimensional subdiffusion with data on disjoint sets in time	4
Rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of gradient-dependent semilinear heat equations	4
KAM Theorem towards the Weak Diophantine Condition	3
Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows	3
The critical curve for periodic degenerate Lane-Emden type system	3
<!--StartFragment --> <span class="cf0">Approximating Korobov functions via quantum circuits</span><!--EndFragment -->	3
On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model	3
Spectral Galerkin Method for Solving Elastic Wave Scattering Problems with Multiple Open Arcs	3
<!--StartFragment --><span class="cf0">On a diffuse interface model for diblock copolymers interacting with an electric field</span><!--EndFragment -->	3
A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model	3
On global solutions to the inhomogeneous, incompressible Navier–Stokes equations with temperature-dependent coefficients	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
Recovery of a distributed order fractional derivative in an unknown medium	3
Existence and uniqueness for “good” Boussinesq equations with quasi-periodic initial data	3
Emergent behaviors of Kuramoto model with frustration under switching topology	3
A Nonlocal diffusion model with $H^1$ convergence for Dirichlet Boundary	3
The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$	3
Optimal large-time behavior of the compressible Phan–Thein–Tanner 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
Unipolar Euler–Poisson equations with time-dependent damping: blow-up and global existence	3
Nonradiating sources of Maxwell's equations	3
Stability for the 2D Micropolar equations with partial dissipation near Couette flow	3
Semilinear eigenvalue problem: Parametric analyticity and the uncertainty quantification	3
The unconditionally optimal $H^1$-norm error estimate of a semi-implicit Galerkin FEMs VSBDF2 scheme for solving semilinear parabolic equations	2
A new <italic>priori</italic> error estimation of nonconforming element for two-dimensional linearly elastic shallow shell equations	2
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity	2
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results	2
Multiphysics finite element method for thermo-poroelasticity with nonlinear convective transport term	2
<!--StartFragment --><span class="cf0">Zero-electron-mass limit for Euler-Poisson system with ill-prepared initial data</span><!--EndFragment -->	2
Vanishing viscosity limit for compressible magnetohydrodynamic equations with transverse background magnetic field	2
Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case	2
Autonomous vehicles driving traffic: The Cauchy problem	2
Time-delayed opinion dynamics with leader-follower interactions: Consensus, stability, and mean-field limits	2
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain	2
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation	2
On the stochastic synchronization of the Winfree model with a multiplicative noise	2
A note on the relaxation process in a class of non-equilibrium two-phase flow models	2

Description of random level sets by polynomial chaos expansions	2
Global regularity of 2D Boussinesq-Voigt equations	2
Energy method for the Boltzmann equation of monatomic gaseous mixtures	2
<!--StartFragment --><span class="cf0">Asymptotics for the $&#92;epsilon$-Cahn-Hilliard/Allen-Cahn with deterministic or stochastic forcing</span><!--EndFragment -->	2
Existence and stability of transonic shocks for two-dimensional steady Euler flows with magnetic effect	2
Cahn-Hilliard equations on lattices: dynamic transitions and pattern formations	2
A kind of time-inconsistent corporate international investment problem with discontinuous cash flow	2
Boundary controllability of the Korteweg-de Vries equation: The Neumann case	2
A note on first order quasi-stationary mean field games	2
Pattern alternations induced by nonlocal interactions	2
Hyperbolicity study of models for turbulent two-phase flows obtained from the variational principle	2
Isogeometric analysis-based numerical methods for the Allen-Cahn equation: Space-time continuous Petrov-Galerkin method and adaptive BDF2 method	2
Stabilized exponential time differencing schemes for the convective Allen–Cahn equation	2
On the instability of travelling wave solutions for the transport-Stokes equation	2
Global existence of perturbed Navier–Stokes system around Landau solutions with slowly decaying oscillation	2
Excitation transfer in a quantum spin model for the photosynthesis process	1
Asymptotic formation and orbital stability of phase-locked states in Kuramoto&ndash;Lohe type synchronization models on Lie groups	1
From collisional kinetic models to sprays: internal energy exchanges	1
Existence and large time behavior for a dissipative variant of the rotational NLS equation	1
The stabilizing effect of magnetic field on the electron Hall-MHD system	1
On the well-posedness of the Hall-MHD system in a critical setting of Besov-Morrey type	1
Networks of sign-changing metamaterials: existence and spectral properties	1
Sobolev training for physics-informed neural networks	1
<!--StartFragment --><span class="cf0">Dissipation enhancement by shear flows for generalized diffusion operators in high dimension</span><!--EndFragment -->	1
Stability of planar rarefaction wave for viscous vasculogenesis model	1
On variational image denoising: A total scaled-gradient variation regularization framework and an accelerated operator-splitting solver	1
Global convergence of triangularized orthogonalization-free method	1
Local strong solutions to a class of compressible non-Newtonian fluid equations without initial compatibility conditions	1
Implicit-explicit Runge-Kutta methods for Landau-Lifshitz equation with arbitrary damping	1
Global well-posedness for a two-dimensional Navier-Stokes-Cahn-Hilliard-Boussinesq system with singular potential	1
Dual quaternion matrices in multi-agent formation control	1
Weak solutions for a modified degenerate Cahn–Hilliard model for surface diffusion	1
Linearized stability of planar rarefaction wave for 3D gas dynamics in thermal nonequilibrium	1
Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump	1
Global existence and decay estimates of strong solutions for compressible non-isentropic magnetohydrodynamic flows with vacuum	1
On the interplay of finite-range interactions and time-delay in a Cucker-Smale ensemble	1
The initial-boundary value problem for the Landau–Lifshitz equation with Gilbert damping term	1
<!--StartFragment --> <span class="cf0">Global well-posedness of the 3D generalized rotational MHD system</span> <!--EndFragment -->	1
<!--StartFragment --><span class="cf0">Global strong solution, optimal time decay rate and diffusive limit of the two-species Vlasov-Poisson-Landau system</span><!--EndFragment --	1
The Neumann boundary condition for the two-dimensional Lax–Wendroff scheme	1
A diffuse interface approach for vector-valued PDEs on surfaces	1
Weak solutions to a generalized $1$-D compressible Landau-Lifshitz-Bloch equation	1
Reproducing activation function for deep learning	1
Analysis and computation for the scattering problem of electromagnetic waves in chiral media	1
<!--StartFragment --><span class="cf0">Statistical ensembles in integrable Hamiltonian systems with almost periodic transitions</span><!--EndFragment -->	1
<!--StartFragment --><span class="cf0">Wave propagation of the full compressible Oldroyd-B model</span><!--EndFragment -->	1
Approximate primal-dual fixed-point based langevin algorithms for non-smooth convex potentials	1
Global boundedness and eventual regularity of chemotaxis-fluid model driven by porous medium diffusion	1
An efficient interface hydrostatic reconstruction for the two-layer shallow flows with arbitrary wet-dry fronts	1
Stability and decay rate of viscous contact wave to one-dimensional compressible Navier-Stokes equations	1
Variational approach to simultaneous fusion and denoising of color images with different spatial resolution	1
Error estimate of the nonuniform $L1$ type formula for the time fractional diffusion-wave equation	1
Global regularity of some axisymmetric, single-signed vorticity in any dimension	1
A Cahn-Hilliard model coupled to viscoelasticity with large deformations	1
Improved uniform error bounds of an exponential wave integrator method for the Klein–Gordon–Schrödinger equation with the small coupling constant	1
Adaptive preconditioned gradient descent with energy	1
Blind super-resolution of point sources via fast iterative hard thresholding	1
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption	1
Relaxation and stability analysis of a third-order multiclass traffic flow model*	1
The Cauchy problem for a coupling system of Vlasov-Fokker-Planck/compressible Navier-Stokes equations	1
Weak time-periodic solutions to the Landau-Lifshitz-Bloch equation with an external magnetic field	1
<!--StartFragment --><span class="cf0">Stability of nonlinear waves to the outflow problem for compressible Navier-Stokes equations with density-dependent viscosity</span><!--EndF	1
Error estimates of the sav method for the coupled Cahn–Hilliard system in copolymer/homopolymer mixtures	1
Lifespan estimates of solutions to the weakly coupled system of semilinear wave equations with space dependent dampings	1
Stability and convergence of a variable-step stabilized BDF2 stepping for the MBE model with slope selection	1
Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in $\mathbb{R}^2$	1
Measure-valued death state and local sensitivity analysis for Winfree models with uncertain high-order couplings	1
Operator shifting for model-based policy evaluation	1
<!--StartFragment --><span class="cf0">Synchronization of discrete-time complex networks with transmission delays via event-triggered impulsive control</span><!--EndFragment -->	1
Residual-based <i>a posteriori</i> error estimation for elliptic interface problems approximated by immersed finite element methods	1
The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect	1
Uniqueness of weak solutions to the Boussinesq equations with fractional dissipation	1
Global well-posedness for a generalized Keller-Segel system with degenerate dissipation and mixing	1
Generalized integral equation method for an elliptic nonlocal equation in measure space	0
The higher order regularity of solutions to the large scale moist atmospheric system	0
A Wasserstein norm for signed measures, with application to non-local transport equation with source term	0
Localization and the landscape function for regular Sturm-Liouville operators	0
On the relaxation to equilibrium of a quantum oscillator interacting with a radiation field	0
Global convergence in infinity-ion-mass limits for bipolar Euler-Poisson system	0
Pairs trading: An optimal selling rule with constraints	0

Dissipation enhancement for a degenerated parabolic equation	0
Deep Learning for Chaotic System via Euler Difference Neural Network	0
Asymptotic behavior of solutions to the unipolar hydrodynamic model of semiconductors with time-dependent damping in bounded domain	0
A stochastic Galerkin method for the direct and inverse random source problems of the Helmholtz equation	0
Connection between a degenerate particle flow model and a free boundary problem	0
<!--StartFragment --><span class="cf0">Global weak solutions of a thermodynamically consistent diffuse interface model for nonhomogeneous incompressible two-phase flows with a soluble surf	0
Global strong solutions to the compressible Navier–Stokes system with potential temperature transport	0
<!--StartFragment --><span class="cf0">Adapting priority Riemann solver for GSOM on road networks</span><!--EndFragment -->	0
Continuum limits for adaptive network dynamics	0
Observer-based data assimilation for barotropic gas transport using distributed measurements	0
Dynamic behavior for a gradient algorithm with energy and momentum	0
Low Mach number limit for non-isentropic magnetohydrodynamic equations with ill-prepared data and zero magnetic diffusivity in bounded domains	0
Low-Mach type approximation of the Navier–Stokes system with temperature and salinity for free surface flows	0
On the properties of affine solutions of cold plasma equations	0
Hegselmann-Krause and Cucker-Smale type models with attractive-repulsive interaction	0
Semiconductor full quantum hydrodynamic model with non-flat doping profile: I) Stability of steady state	0
Analog of linear Landau damping in a coupled Vlasov-Euler system for thick sprays	0
Machine learning methods for autonomous ordinary differential equations	0
Diffusion asymptotics of a kinetic model for gas-particle mixtures with energy exchanges	0
Global well-posedness of 3D incompressible Hall-MHD system with small unidirectional derivative in anisotropic spaces	0
Pointwise wave behavior of the non-isentropic Navier–Stokes equations in half space	0
Global-in-time classical solutions to two-dimensional axisymmetric Euler system with swirl	0
Representation theorem for multivariable totally symmetric functions	0
The Fourier Discrepancy Function	0
A uniqueness result for two dimensional continuity equations with divergence-free vector fields	0
Asymptotic behavior of stochastic delay Navier-Stokes equations on unbounded domains	0
Existence of positive solutions for a class of quasilinear elliptic equations with parameters	0
IMEX variable step-size Runge-Kutta methods for parabolic integro-differential equations with nonsmooth initial data	0
Two descent spectral conjugate gradient techniques with practical application for image restoration	0
<!--StartFragment --><span class="cf0">A multi-class nonlocal macroscopic model with time delay for mixed autonomous / human-driven traffic</span><!--EndFragment -->	0
Pullback exponential attractors for the three dimensional non-autonomous primitive equations of large scale ocean and atmosphere dynamics	0
Global existence and non-existence for nonlinear wave equation with variable-exponent nonlinear weak damping term and power-type nonlinearity	0
<!--StartFragment --><span class="cf0">Spectral clustering via orthogonalization-free methods</span><!--EndFragment -->	0
Asymptotic stability of nonlinear wave for an inflow problem to the compressible Navier-Stokes-Korteweg system	0
<!--StartFragment --> <span class="cf0">On the ground states of spin-2 Bose-Einstein condensates in $&#92;mathbb{R}$</span><!--EndFragment -->	0
Convergence analysis of structure-preserving numerical methods based on Slotboom transformation for the Poisson–Nernst–Planck equations	0
On the initial-boundary value problem of two-phase incompressible flows with variable density in smooth bounded domain	0
The Bernstein-von Mises theorem for the inverse scattering problem	0
Global existence and exponential stability of planar magnetohydrodynamics with temperature-dependent transport coefficients	0
On the equilibrium of the Poisson–Nernst–Planck–Bikermann model equipping with the steric and correlation effects	0
Inverse scattering problem by locally rough surfaces in the time domain	0
The conditional barycenter problem, its data-driven formulation and its solution through normalizing flows	0
Boltzmann mean-field game model for knowledge growth: limits to learning and general utilities	0
An energy stable finite difference scheme for the Ericksen–Leslie system with penalty function and its optimal rate convergence analysis	0
On anisotropic non-Lipschitz restoration model: lower bound theory and iterative algorithm	0
Understanding high-index saddle dynamics via numerical analysis	0
Augmented quaternion and augmented unit quaternion optimization	0
A new collision avoidance model with semi implicit random batch resolution	0
A modified finite difference method for strongly compressible Forchheimer transport in fractured porous media	0
Global solvability in a three-dimensional Keller-Segel-Navier-Stokes system with prescribed signal on the boundary	0
Optimal time decay rates of the full compressible Hall-magnetohydrodynamics equations*	0
The delayed Cucker–Smale model with attractive power-law potentials	0
<!--StartFragment --><span class="cf0">A tamed implicit-explicit scheme for stochastic Cahn-Hilliard equation driven by multiplicative noise</span><!--EndFragment -->	0
<!--StartFragment --><span class="cf0">Fourier-Cattaneo equation: stochastic origin, variational formulation, and asymptotic limits</span><!--EndFragment -->	0
<!--StartFragment --><span class="cf0">Well-posedness and exponential stability for abstract viscoelastic equation with time-varying delay</span><!--EndFragment -->	0
Frozen Gaussian sampling: a mesh-free Monte Carlo method for approximating semiclassical Schrödinger equations	0
A generalized mean-field game model for the dynamics of pedestrians with limited predictive abilities	0
Iso-frequency KAM persistence at degeneracy for multi-scale Hamiltonian systems	0
Second order ensemble Langevin method for sampling and inverse problems	0
On a positive-preserving, energy-stable numerical scheme to mass-action kinetics with detailed balance	0
Numerical schemes for a multi-species quantum BGK model	0
High friction limits of Euler–Navier–Stokes–Korteweg equations for multicomponent models	0
Existence of polynomial attractor for a class of extensible beams with nonlocal weak damping	0
On the uniqueness of the mild solution of the critical quasi-geostrophic equation	0
A variational approach for price formation models in one dimension	0
<!--StartFragment --><span class="cf0">Long time asymptotics of mixed-type Kimura diffusion</span><!--EndFragment -->	0
Existence theorems for a fourth-order exponential PDE related to crystal surface relaxation	0
Homogenized equations for isentropic gas in a pipe with periodically-varying cross-section	0
Energy stability of variable-step L1-type schemes for time-fractional Cahn–Hilliard model	0
Optimal large time behavior of the compressible bipolar Navier–Stokes–Poisson system	0
Global dynamics in a chemotaxis model describing tumor angiogenesis with/without mitosis in any dimension	0
A class of global large solutions to the Oldroyd-B-type model with fractional dissipation	0
Simultaneously recovering running cost and Hamiltonian in mean field games system	0
Energy and helicity conservation in the incompressible ideal flows	0
Dissipative solutions to the compressible isentropic Navier–Stokes equations	0
Boundedness in a three-dimensional chemotaxis-Stokes system involving a subcritical sensitivity and indirect signal production	0
KAM persistence for multiscale generalized Hamiltonian systems	0
Discrete perturbed gradient flow and its application	0
Remarks on the minimal $&#92;alpha$-energy problems	0
Spatial manifestations of order reduction in Runge–Kutta methods for initial boundary value problems	0
The global generalized solution of the chemotaxis-Navier–Stokes system with logistic source	0
Gevrey well-posedness of the thermal boundary layer equation	0
Hydrodynamic traffic flow models including random accidents: A kinetic derivation	0
Improved uniform error bound on the time-splitting method for the long-time dynamics of the fractional nonlinear Schrödinger equation	0
Gamma convergence for the de Gennes–Cahn–Hilliard energy	0
Global existence and asymptotic behavior of the full Euler system with damping and radiative effects in $\mathbb{R}^3$	0
$G$-mean random attractors for complex Ginzburg–Landau equations with probability-uncertain initial data	0
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity	0
Global smooth solutions to the two-dimensional axisymmetric Zeldovich-von Neumann-Döring combustion equations with swirl	0
<!--StartFragment --><span class="cf0">Strongly positive semi-definite tensors and strongly SOS tensors</span><!--EndFragment -->	0
Optimal control for Kuramoto model: from many-particle Liouville equation to diffusive mean-field problem	0
Continuous iterative algorithms for anti-Cheeger cut	0
Kinetic model for myxobacteria with directional diffusion	0
The existence of global strong solutions to a multi-dimensional compressible Navier-Stokes-Poisson-Korteweg system with some large initial data	0
Truncation Error Analysis for an Accurate Nonlocal Approximation to Manifold Poisson Models with Dirichlet Boundary	0