Communications in Mathematical Sciences

Article	Citations
Cubic lifespan of two-dimensional hydroelastic waves	31
Limiting dynamics for stochastic Navier-Stokes equations on expanding unbounded domains	19
Strong convergence rates of a fully discrete scheme for the stochastic Cahn-Hilliard equation with additive noise	17
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term	15
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter	15
A non-equilibrium multi-component model with miscible conditions	14
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric	13
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion	13
Robust estimation of effective diffusions from multiscale data	13
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion	12
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise	12
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials	11
Mean-field limit of point vortices for the lake equations	10
A variational characterization of 2-soliton profiles for the KdV equation	10
Accurate deterministic projection methods for stiff detonation waves	10
Kinetic description and convergence analysis of genetic algorithms for global optimization	9
Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness	9
Some flocking properties for a model of collective dynamics with topological interactions	9
On BV-instability and existence for linearized radial Euler flows	8
Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave	7
Lack of exact controllability of a higher-order BBM system	6
Revisiting the central limit theorems for the SGD-type methods	6
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data	6
Global well-posedness and decay of the low-regularity solution to the 3D density-dependent magnetohydrodynamic equations with vacuum	6
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe	6

Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness	6
Scalar auxiliary variable approach in iterative minimization formulation for saddle point search	5
Fully discrete low-regularity integrator for the Korteweg–de Vries equation	5
Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions	5
Epidemic dynamics and wealth inequality under two feedback control strategies	5
Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations	5
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain	5
A quantitative version of the transversality theorem	5
Stability of contact lines in 2D stationary Benard convection	5
Least squares estimation for delay McKean–Vlasov stochastic differential equations and interacting particle systems	5
Resonant duet modeling approach for the spectral analysis of strongly nonlinear wave turbulent signal	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	4
On the expected number of real roots of random polynomials arising from evolutionary game theory	4
Stability for the 2D Micropolar equations with partial dissipation near Couette flow	4
The Bramson correction for integro-differential Fisher–KPP equations	4
A note on enhanced dissipation of time-dependent shear flows	4
A Nonlocal diffusion model with $H^1$ convergence for Dirichlet Boundary	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
Semilinear eigenvalue problem: Parametric analyticity and the uncertainty quantification	4
Spectral Galerkin Method for Solving Elastic Wave Scattering Problems with Multiple Open Arcs	4
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations	4
On a system associated with p-wave superconductivity in $\mathbb{R}^2$	3
The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$	3
Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows	3
Low Mach number limit of the full compressible mhd equations with Cattaneo’s heat transfer law	3
Zero dissipation limit problem of 1-D Navier–Stokes equations	3
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics	3
Optimal large-time behavior of the compressible Phan–Thein–Tanner model	3
Description of random level sets by polynomial chaos expansions	3
Existence and uniqueness for “good” Boussinesq equations with quasi-periodic initial data	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
On global solutions to the inhomogeneous, incompressible Navier–Stokes equations with temperature-dependent coefficients	3
The critical curve for periodic degenerate Lane-Emden type system	3
Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation	3
An optimal design of random surfaces in solar cells via mini-batch stochastic gradient approach	3
Pattern alternations induced by nonlocal interactions	3
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity	3
A new <i>priori</i> error estimation of nonconforming element for two-dimensional linearly elastic shallow shell equations	3
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint	3
Recovery of a distributed order fractional derivative in an unknown medium	3
Adaptive image processing: A bilevel structure learning approach for mixed-order total variation regularizers	3
Unipolar Euler–Poisson equations with time-dependent damping: blow-up and global existence	3
Emergent behaviors of Kuramoto model with frustration under switching topology	3
A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model	3
On the stochastic synchronization of the Winfree model with a multiplicative noise	3
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation	3
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader	3

On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model	3
Tensor PDE model of biological network formation	2
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain	2
A note on optimization formulations of Markov decision processes	2
Hyperbolicity study of models for turbulent two-phase flows obtained from the variational principle	2
Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case	2
A note on the relaxation process in a class of non-equilibrium two-phase flow models	2
Energy method for the Boltzmann equation of monatomic gaseous mixtures	2
A note on first order quasi-stationary mean field games	2
Identification of time-varying source term in time-fractional diffusion equations	2
Global regularity of 2D Boussinesq-Voigt equations	2
Stabilized exponential time differencing schemes for the convective Allen–Cahn equation	2
A kind of time-inconsistent corporate international investment problem with discontinuous cash flow	2
Stability properties of the steady state for the isentropic compressible Navier–Stokes equations with density dependent viscosity in bounded intervals	2
Reaction-diffusion equations derived from kinetic models and their Turing instability	2
Autonomous vehicles driving traffic: The Cauchy problem	2
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results	2
The Cahn-Hilliard-Boussinesq system with singular potential	2
Vanishing viscosity limit for compressible magnetohydrodynamic equations with transverse background magnetic field	2
Existence and stability of transonic shocks for two-dimensional steady Euler flows with magnetic effect	2
Homogenization of parabolic systems with singular perturbations	2
Global existence of perturbed Navier–Stokes system around Landau solutions with slowly decaying oscillation	2
The unconditionally optimal $H^1$-norm error estimate of a semi-implicit Galerkin FEMs VSBDF2 scheme for solving semilinear parabolic equations	2
Global convergence of triangularized orthogonalization-free method	1
Weak solutions for a modified degenerate Cahn–Hilliard model for surface diffusion	1
Dual quaternion matrices in multi-agent formation control	1
Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme	1
Residual-based <i>a posteriori</i> error estimation for elliptic interface problems approximated by immersed finite element methods	1
Variational approach to simultaneous fusion and denoising of color images with different spatial resolution	1
Stability and decay rate of viscous contact wave to one-dimensional compressible Navier-Stokes equations	1
Lifespan estimates of solutions to the weakly coupled system of semilinear wave equations with space dependent dampings	1
Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in $\mathbb{R}^2$	1
Stability of large amplitude viscous shock wave for 1-D isentropic Navier–Stokes system in the half space	1
Weak solutions to a generalized $1$-D compressible Landau-Lifshitz-Bloch equation	1
Improved uniform error bounds of an exponential wave integrator method for the Klein–Gordon–Schrödinger equation with the small coupling constant	1
A fully well-balanced scheme for shallow water equations with Coriolis force	1
Isogeometric analysis-based numerical methods for the Allen-Cahn equation: Space-time continuous Petrov-Galerkin method and adaptive BDF2 method	1
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption	1
Consistency analysis of bilevel data-driven learning in inverse problems	1
Reproducing activation function for deep learning	1
Uniqueness of weak solutions to the Boussinesq equations with fractional dissipation	1
Global existence and decay estimates of strong solutions for compressible non-isentropic magnetohydrodynamic flows with vacuum	1
Approximate primal-dual fixed-point based langevin algorithms for non-smooth convex potentials	1
Sobolev training for physics-informed neural networks	1
The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect	1
An efficient interface hydrostatic reconstruction for the two-layer shallow flows with arbitrary wet-dry fronts	1
Global well-posedness for a two-dimensional Navier-Stokes-Cahn-Hilliard-Boussinesq system with singular potential	1
Adaptive preconditioned gradient descent with energy	1
Necessary conditions for blow-up solutions to the restricted Euler–Poisson equations	1
From collisional kinetic models to sprays: internal energy exchanges	1
Asymptotic formation and orbital stability of phase-locked states in Kuramoto&ndash;Lohe type synchronization models on Lie groups	1
Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems	1
Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump	1
A diffuse interface approach for vector-valued PDEs on surfaces	1
Error estimates of the sav method for the coupled Cahn–Hilliard system in copolymer/homopolymer mixtures	1
Blind super-resolution of point sources via fast iterative hard thresholding	1
The Cauchy problem for a coupling system of Vlasov-Fokker-Planck/compressible Navier-Stokes equations	1
On variational image denoising: A total scaled-gradient variation regularization framework and an accelerated operator-splitting solver	1
Global boundedness and eventual regularity of chemotaxis-fluid model driven by porous medium diffusion	1
Stability and convergence of a variable-step stabilized BDF2 stepping for the MBE model with slope selection	1
A Cahn-Hilliard model coupled to viscoelasticity with large deformations	1
Linearized stability of planar rarefaction wave for 3D gas dynamics in thermal nonequilibrium	1
Analysis of a model of cell crawling migration	1
Implicit-explicit Runge-Kutta methods for Landau-Lifshitz equation with arbitrary damping	1
Convergence analysis on seismic tomography for inverse problems of acoustic wave propagation	1
Operator shifting for model-based policy evaluation	1
Global regularity of some axisymmetric, single-signed vorticity in any dimension	1
The initial-boundary value problem for the Landau–Lifshitz equation with Gilbert damping term	1
Traveling waves in a Keller–Segel model with logistic growth	1
On the instability of travelling wave solutions for the transport-Stokes equation	1
Heterogeneous multiscale methods for rough-wall laminar viscous flow	1
Error estimate of the nonuniform $L1$ type formula for the time fractional diffusion-wave equation	1
Weak time-periodic solutions to the Landau-Lifshitz-Bloch equation with an external magnetic field	1
Global well-posedness for a generalized Keller-Segel system with degenerate dissipation and mixing	1
Existence and large time behavior for a dissipative variant of the rotational NLS equation	1
The Neumann boundary condition for the two-dimensional Lax–Wendroff scheme	1
Universal approximation of symmetric and anti-symmetric functions	1
Analysis and computation for the scattering problem of electromagnetic waves in chiral media	1
High friction limits of Euler–Navier–Stokes–Korteweg equations for multicomponent models	0
Low Mach number limit for non-isentropic magnetohydrodynamic equations with ill-prepared data and zero magnetic diffusivity in bounded domains	0

Hegselmann-Krause and Cucker-Smale type models with attractive-repulsive interaction	0
Observer-based data assimilation for barotropic gas transport using distributed measurements	0
Global existence and asymptotic behavior of the full Euler system with damping and radiative effects in $\mathbb{R}^3$	0
Energy stability of variable-step L1-type schemes for time-fractional Cahn–Hilliard model	0
Global smooth solutions to the two-dimensional axisymmetric Zeldovich-von Neumann-Döring combustion equations with swirl	0
On homogenization of the Landau–Lifshitz equation with rapidly oscillating material coefficient	0
A variational approach for price formation models in one dimension	0
Global solution for equations governing the low-frequency ion motion in plasma	0
Existence of smooth solutions to the Landau–Fermi–Dirac equation with Coulomb potential	0
Global-in-time classical solutions to two-dimensional axisymmetric Euler system with swirl	0
Asymptotic behavior of stochastic delay Navier-Stokes equations on unbounded domains	0
Exponential decay for a class of non-local non-linear Schrödinger equations with localised damping	0
A new collision avoidance model with semi implicit random batch resolution	0
Global convergence in infinity-ion-mass limits for bipolar Euler-Poisson system	0
Kinetic model for myxobacteria with directional diffusion	0
Localization and the landscape function for regular Sturm-Liouville operators	0
Global strong solutions to the compressible Navier–Stokes system with potential temperature transport	0
Asymptotic stability of nonlinear wave for an inflow problem to the compressible Navier-Stokes-Korteweg system	0
Global solvability to a cancer invasion model with remodeling of ECM and porous medium diffusion	0
Truncation Error Analysis for an Accurate Nonlocal Approximation to Manifold Poisson Models with Dirichlet Boundary	0
Boltzmann mean-field game model for knowledge growth: limits to learning and general utilities	0
Discrete perturbed gradient flow and its application	0
A modified finite difference method for strongly compressible Forchheimer transport in fractured porous media	0
Adaptive central-upwind scheme on triangular grids for the Saint–Venant system	0
Lake equations with an evanescent or emergent island	0
Continuum limits for adaptive network dynamics	0
Connection between a degenerate particle flow model and a free boundary problem	0
Existence, uniqueness and approximation of solutions of SDEs with superlinear coefficients in the presence of discontinuities of the drift coefficient	0
On the equilibrium of the Poisson–Nernst–Planck–Bikermann model equipping with the steric and correlation effects	0
Existence, regularity and weak-strong uniqueness for three-dimensional Peterlin viscoelastic model	0
Differentiable Hartman-Grobman Theorem via modulus of continuity: A sharp result on linearization in general Banach space	0
Iso-frequency KAM persistence at degeneracy for multi-scale Hamiltonian systems	0
Gevrey well-posedness of the thermal boundary layer equation	0
Augmented quaternion and augmented unit quaternion optimization	0
An energy stable finite difference scheme for the Ericksen–Leslie system with penalty function and its optimal rate convergence analysis	0
Global solvability in a three-dimensional Keller-Segel-Navier-Stokes system with prescribed signal on the boundary	0
On the properties of affine solutions of cold plasma equations	0
Machine learning methods for autonomous ordinary differential equations	0
Design of a mode converter using thin resonant ligaments	0
Two descent spectral conjugate gradient techniques with practical application for image restoration	0
On global regularity for a model of the regularized Boussinesq equations with zero diffusion	0
Semiconductor full quantum hydrodynamic model with non-flat doping profile: I) Stability of steady state	0
Representation theorem for multivariable totally symmetric functions	0
Existence theorems for a fourth-order exponential PDE related to crystal surface relaxation	0
Initial mixed-boundary value problem for anisotropic fractional degenerate parabolic equations	0
Existence of polynomial attractor for a class of extensible beams with nonlocal weak damping	0
Blow-up time of strong solutions to a biological network formation model in high space dimensions	0
A Wasserstein norm for signed measures, with application to non-local transport equation with source term	0
The delayed Cucker–Smale model with attractive power-law potentials	0
Pullback exponential attractors for the three dimensional non-autonomous primitive equations of large scale ocean and atmosphere dynamics	0
Spectral structure of electromagnetic scattering on arbitrarily shaped dielectrics	0
Simultaneously recovering running cost and Hamiltonian in mean field games system	0
Dynamic behavior for a gradient algorithm with energy and momentum	0
Existence of positive solutions for a class of quasilinear elliptic equations with parameters	0
A stochastic Galerkin method for the direct and inverse random source problems of the Helmholtz equation	0
The conditional barycenter problem, its data-driven formulation and its solution through normalizing flows	0
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities	0
Thermodynamically consistent dynamic boundary conditions of phase field models	0
The Bernstein-von Mises theorem for the inverse scattering problem	0
Boundedness in a three-dimensional chemotaxis-Stokes system involving a subcritical sensitivity and indirect signal production	0
Dissipative solutions to the compressible isentropic Navier–Stokes equations	0
Ranks of quaternion tensors and corresponding real tensors	0
Degenerate Cahn–Hilliard and incompressible limit of a Keller–Segel model	0
A class of global large solutions to the Oldroyd-B-type model with fractional dissipation	0
The global generalized solution of the chemotaxis-Navier–Stokes system with logistic source	0
Spatial manifestations of order reduction in Runge–Kutta methods for initial boundary value problems	0
Analog of linear Landau damping in a coupled Vlasov-Euler system for thick sprays	0
Low-Mach type approximation of the Navier–Stokes system with temperature and salinity for free surface flows	0
Hydrodynamic traffic flow models including random accidents: A kinetic derivation	0
Understanding high-index saddle dynamics via numerical analysis	0
Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers	0
Deep Learning for Chaotic System via Euler Difference Neural Network	0
A generalized mean-field game model for the dynamics of pedestrians with limited predictive abilities	0
Gamma convergence for the de Gennes–Cahn–Hilliard energy	0
An energy preserving discretization method for the thermodynamic Kuramoto model and collective behaviors	0
Pointwise wave behavior of the non-isentropic Navier–Stokes equations in half space	0
Second order ensemble Langevin method for sampling and inverse problems	0
Large, moderate deviations principle and $\alpha$-limit for the 2D stochastic LANS-$\alpha$	0
Stability of non-degenerate stationary solution in inflow problem for a 1-D radiation hydrodynamics model	0
On variational principles for polarization responses in electromechanical systems	0
Energy and helicity conservation in the incompressible ideal flows	0
Asymptotic behavior of solutions to the outflow problem for the compressible Navier–Stokes–Maxwell equations	0
On the analyticity and gevrey regularity of solutions to the three-dimensional inviscid Boussinesq equations in a half space	0
Convergence from atomistic model to Peierls–Nabarro model for dislocations in bilayer system with complex lattice	0
Global dynamics in a chemotaxis model describing tumor angiogenesis with/without mitosis in any dimension	0
Optimal large time behavior of the compressible bipolar Navier–Stokes–Poisson system	0
Convergence analysis of structure-preserving numerical methods based on Slotboom transformation for the Poisson–Nernst–Planck equations	0
A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach	0
Continuous iterative algorithms for anti-Cheeger cut	0
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions	0
A sharp critical threshold for a traffic flow model with look-ahead dynamics	0
Improved uniform error bound on the time-splitting method for the long-time dynamics of the fractional nonlinear Schrödinger equation	0
$G$-mean random attractors for complex Ginzburg–Landau equations with probability-uncertain initial data	0
Asymptotic behavior of solutions to the unipolar hydrodynamic model of semiconductors with time-dependent damping in bounded domain	0
Global existence and exponential stability of planar magnetohydrodynamics with temperature-dependent transport coefficients	0