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	22
Limiting dynamics for stochastic Navier-Stokes equations on expanding unbounded domains	21
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise	18
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion	18
Robust estimation of effective diffusions from multiscale data	17
Mean-field limit of point vortices for the lake equations	17
Stochastic-periodic homogenization of Poisson-Nernst-Planck equations in porous media	14
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials	12
Mathematical theory for the interface mode in an acoustic waveguide bifurcated from a Dirac point	12
Cubic lifespan of two-dimensional hydroelastic waves	11
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term	11
Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave	10
Revisiting the central limit theorems for the SGD-type methods	10
Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness	9
A variational characterization of 2-soliton profiles for the KdV equation	9
Finite element and integral equation methods to conical diffraction by imperfectly conducting gratings	8
<!--StartFragment --><span class="cf0">On the Schr&ouml;dingerization method for linear non-unitary dynamics with optimal dependence on matrix queries</span><!--EndFragment --	8
Some flocking properties for a model of collective dynamics with topological interactions	8
Global well-posedness and large time behavior for compressible non-isothermal nematic liquid crystal flows with vacuum at infinity	8
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe	7
<!--StartFragment --><span class="cf0">On stability of critical points for the high dimensional Onsager functional with Maier-Saupe potential</span><!--EndFragment -->	7
Kinetic description and convergence analysis of genetic algorithms for global optimization	7
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness	7

Global existence for quasilinear degenerate two-species chemotaxis system with small initial data	6
Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations	6
Stability of contact lines in 2D stationary Benard convection	6
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain	6
Global mild solutions of the non-cutoff Vlasov–Poisson–Boltzmann system	5
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
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations	5
A quadratic spline projection method for computing stationary densities of random maps	5
Inverse coefficient problem for one-dimensional subdiffusion with data on disjoint sets in time	5
A quantitative version of the transversality theorem	5
A note on enhanced dissipation of time-dependent shear flows	5
Epidemic dynamics and wealth inequality under two feedback control strategies	4
Spectral Galerkin Method for Solving Elastic Wave Scattering Problems with Multiple Open Arcs	4
KAM Theorem towards the Weak Diophantine Condition	4
Rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of gradient-dependent semilinear heat equations	4
<!--StartFragment --><span class="cf0">On a diffuse interface model for diblock copolymers interacting with an electric field</span><!--EndFragment -->	4
Stability for the 2D Micropolar equations with partial dissipation near Couette flow	4
Resonant duet modeling approach for the spectral analysis of strongly nonlinear wave turbulent signal	4
Compactness property of the linearized Boltzmann operator for a mixture of polyatomic gases	4
Emergent behaviors of Kuramoto model with frustration under switching topology	4
A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model	3
On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model	3
Optimal large-time behavior of the compressible Phan–Thein–Tanner model	3
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results	3
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity	3
Pattern alternations induced by nonlocal interactions	3
The critical curve for periodic degenerate Lane-Emden type system	3
A Nonlocal diffusion model with $H^1$ convergence for Dirichlet Boundary	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 new <italic>priori</italic> error estimation of nonconforming element for two-dimensional linearly elastic shallow shell equations	3
Nonlinear stability of a composite wave pattern for a viscous, heat-conducting, radiative, and reactive gas with large initial perturbation	3
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation	3
On the stochastic synchronization of the Winfree model with a multiplicative noise	3
Description of random level sets by polynomial chaos expansions	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
Semilinear eigenvalue problem: Parametric analyticity and the uncertainty quantification	3
The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$	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
Existence and uniqueness for “good” Boussinesq equations with quasi-periodic initial data	3
The unconditionally optimal $H^1$-norm error estimate of a semi-implicit Galerkin FEMs VSBDF2 scheme for solving semilinear parabolic equations	3
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain	3
A note on first order quasi-stationary mean field games	3
Nonradiating sources of Maxwell's equations	3
<!--StartFragment --> <span class="cf0">Approximating Korobov functions via quantum circuits</span><!--EndFragment -->	3
Recovery of a distributed order fractional derivative in an unknown medium	3
Energy method for the Boltzmann equation of monatomic gaseous mixtures	2
Cahn-Hilliard equations on lattices: dynamic transitions and pattern formations	2

On the well-posedness of the Hall-MHD system in a critical setting of Besov-Morrey type	2
Multiphysics finite element method for thermo-poroelasticity with nonlinear convective transport term	2
<!--StartFragment --><span class="cf0">Global strong solution, optimal time decay rate and diffusive limit of the two-species Vlasov-Poisson-Landau system</span><!--EndFragment --	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
Stabilized exponential time differencing schemes for the convective Allen–Cahn equation	2
Isogeometric analysis-based numerical methods for the Allen-Cahn equation: Space-time continuous Petrov-Galerkin method and adaptive BDF2 method	2
Hyperbolicity study of models for turbulent two-phase flows obtained from the variational principle	2
Global existence of perturbed Navier–Stokes system around Landau solutions with slowly decaying oscillation	2
Vanishing viscosity limit for compressible magnetohydrodynamic equations with transverse background magnetic field	2
<!--StartFragment --><span class="cf0">Asymptotics for the $&#92;epsilon$-Cahn-Hilliard/Allen-Cahn with deterministic or stochastic forcing</span><!--EndFragment -->	2
Boundary controllability of the Korteweg-de Vries equation: The Neumann case	2
Relaxation and stability analysis of a third-order multiclass traffic flow model*	2
PDE models for deep neural networks: learning theory, calculus of variations and optimal control	2
On the instability of travelling wave solutions for the transport-Stokes equation	2
Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case	2
Time-delayed opinion dynamics with leader-follower interactions: Consensus, stability, and mean-field limits	2
Existence and stability of transonic shocks for two-dimensional steady Euler flows with magnetic effect	2
Global regularity of 2D Boussinesq-Voigt equations	2
Autonomous vehicles driving traffic: The Cauchy problem	2
A note on the relaxation process in a class of non-equilibrium two-phase flow models	2
A diffuse interface approach for vector-valued PDEs on surfaces	2
<!--StartFragment --><span class="cf0">Zero-electron-mass limit for Euler-Poisson system with ill-prepared initial data</span><!--EndFragment -->	2
Structure-preserving scheme for fractional nonlinear diffusion equations	2
<!--StartFragment --><span class="cf0">Wave propagation of the full compressible Oldroyd-B model</span><!--EndFragment -->	1
Local strong solutions to a class of compressible non-Newtonian fluid equations without initial compatibility conditions	1
<!--StartFragment --><span class="cf0">Synchronization of discrete-time complex networks with transmission delays via event-triggered impulsive control</span><!--EndFragment -->	1
Global well-posedness for a two-dimensional Navier-Stokes-Cahn-Hilliard-Boussinesq system with singular potential	1
Non-uniqueness of transonic shock solutions to Euler–Poisson system with varying background charges	1
Dual quaternion matrices in multi-agent formation control	1
Global convergence of triangularized orthogonalization-free method	1
Global boundedness and eventual regularity of chemotaxis-fluid model driven by porous medium diffusion	1
Existence and decay of global strong solutions to the nonhomogeneous incompressible liquid crystal system with vacuum and density-dependent viscosity	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
Stability and convergence of a variable-step stabilized BDF2 stepping for the MBE model with slope selection	1
Global existence and decay estimates of strong solutions for compressible non-isentropic magnetohydrodynamic flows with vacuum	1
An asymptotic preserving scheme for Lévy-Fokker-Planck equation with fractional diffusion limit	1
<!--StartFragment --><span class="cf0">Dissipation enhancement by shear flows for generalized diffusion operators in high dimension</span><!--EndFragment -->	1
<!--StartFragment --> <span class="cf0">Global well-posedness of the 3D generalized rotational MHD system</span> <!--EndFragment -->	1
Operator shifting for model-based policy evaluation	1
Blind super-resolution of point sources via fast iterative hard thresholding	1
Stability of planar rarefaction wave for viscous vasculogenesis model	1
Asymptotic formation and orbital stability of phase-locked states in Kuramoto&ndash;Lohe type synchronization models on Lie groups	1
Variational approach to simultaneous fusion and denoising of color images with different spatial resolution	1
Weak solutions to a generalized $1$-D compressible Landau-Lifshitz-Bloch equation	1
Global well-posedness for a generalized Keller-Segel system with degenerate dissipation and mixing	1
Residual-based <i>a posteriori</i> error estimation for elliptic interface problems approximated by immersed finite element methods	1
An efficient interface hydrostatic reconstruction for the two-layer shallow flows with arbitrary wet-dry fronts	1
Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in $\mathbb{R}^2$	1
Uniqueness of weak solutions to the Boussinesq equations with fractional dissipation	1
Implicit-explicit Runge-Kutta methods for Landau-Lifshitz equation with arbitrary damping	1
The local coupling of noise technique and its application to lower error bounds for strong approximation of SDEs with irregular coefficients	1
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption	1
A relaxation scheme for the equations of isentropic gas dynamics on a network with jump transmission conditions	1
<!--StartFragment --><span class="cf0">Statistical ensembles in integrable Hamiltonian systems with almost periodic transitions</span><!--EndFragment -->	1
Networks of sign-changing metamaterials: existence and spectral properties	1
Geometry of backflow transformation ansatze for quantum many-body fermionic wavefunctions	1
Reproducing activation function for deep learning	1
Differentiable Hartman-Grobman Theorem via modulus of continuity: A sharp result on linearization in general Banach space	1
Lifespan estimates of solutions to the weakly coupled system of semilinear wave equations with space dependent dampings	1
On anisotropic non-Lipschitz restoration model: lower bound theory and iterative algorithm	1
On the stochastic Cahn-Hilliard-Navier-Stokes systems with surfactant and jump noise	1
Nonlinearly exponential stability for the compressible planar magnetohydrodynamic equations with temperature-dependent transport coefficients	1
Asymptotic behavior of solutions for the thermoviscous acoustic systems	1
Discrete bound states in a toy model for weak turbulence and implications for the invariant measure	1
A simple model for one-dimensional nonlinear thermoelasticity: Well-posedness in rough-data frameworks	1
Analysis and computation for the scattering problem of electromagnetic waves in chiral media	1
From collisional kinetic models to sprays: internal energy exchanges	1
The initial-boundary value problem for the Landau–Lifshitz equation with Gilbert damping term	1
The stabilizing effect of magnetic field on the electron Hall-MHD system	1
Stability and decay rate of viscous contact wave to one-dimensional compressible Navier-Stokes equations	1
The Neumann boundary condition for the two-dimensional Lax–Wendroff scheme	1
Sobolev training for physics-informed neural networks	1
On the interplay of finite-range interactions and time-delay in a Cucker-Smale ensemble	1
The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect	1
Approximate primal-dual fixed-point based langevin algorithms for non-smooth convex potentials	1
Blind free deconvolution over one-parameter sparse families via eigenmatrix	1
On variational image denoising: A total scaled-gradient variation regularization framework and an accelerated operator-splitting solver	1
<!--StartFragment --><span class="cf0">A tamed implicit-explicit scheme for stochastic Cahn-Hilliard equation driven by multiplicative noise</span><!--EndFragment -->	1
Improved uniform error bounds of an exponential wave integrator method for the Klein–Gordon–Schrödinger equation with the small coupling constant	1

Linearized stability of planar rarefaction wave for 3D gas dynamics in thermal nonequilibrium	1
Error estimates of the sav method for the coupled Cahn–Hilliard system in copolymer/homopolymer mixtures	1
<!--StartFragment --><span class="cf0">Kolmogorov equations and weak error estimates analysis for the stochastic Cahn-Hilliard equation</span><!--EndFragment -->	1
Excitation transfer in a quantum spin model for the photosynthesis process	1
On connection among quantum-inspired algorithms of the Ising model	1
Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump	1
Existence and large time behavior for a dissipative variant of the rotational NLS equation	1
Measure-valued death state and local sensitivity analysis for Winfree models with uncertain high-order couplings	1
Error estimate of the nonuniform $L1$ type formula for the time fractional diffusion-wave equation	1
Adaptive preconditioned gradient descent with energy	1
A Cahn-Hilliard model coupled to viscoelasticity with large deformations	1
Global regularity of some axisymmetric, single-signed vorticity in any dimension	1
Weak solutions for a modified degenerate Cahn–Hilliard model for surface diffusion	1
The Cauchy problem for a coupling system of Vlasov-Fokker-Planck/compressible Navier-Stokes equations	1