Communications in Mathematical Sciences

Article	Citations
A non-equilibrium multi-component model with miscible conditions	41
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric	22
Strong convergence rates of a fully discrete scheme for the stochastic Cahn-Hilliard equation with additive noise	20
Robust estimation of effective diffusions from multiscale data	18
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion	17
Accurate deterministic projection methods for stiff detonation waves	17
Mean-field limit of point vortices for the lake equations	16
Limiting dynamics for stochastic Navier-Stokes equations on expanding unbounded domains	15
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise	15
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion	14
Cubic lifespan of two-dimensional hydroelastic waves	14
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials	12
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter	12
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term	12
Global well-posedness and decay of the low-regularity solution to the 3D density-dependent magnetohydrodynamic equations with vacuum	11
On BV-instability and existence for linearized radial Euler flows	11
Revisiting the central limit theorems for the SGD-type methods	11
A variational characterization of 2-soliton profiles for the KdV equation	10
Some flocking properties for a model of collective dynamics with topological interactions	10
Dilating blow-up time: A generalized solution of the NNLIF neuron model and its global well-posedness	9
<!--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-posedness	8
Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave	8
Finite element and integral equation methods to conical diffraction by imperfectly conducting gratings	8
Lack of exact controllability of a higher-order BBM system	8

Global existence for quasilinear degenerate two-species chemotaxis system with small initial data	7
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe	7
Kinetic description and convergence analysis of genetic algorithms for global optimization	7
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
Resonant duet modeling approach for the spectral analysis of strongly nonlinear wave turbulent signal	6
Scalar auxiliary variable approach in iterative minimization formulation for saddle point search	6
Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations	6
Quantitative spectral analysis of electromagnetic scattering. II: Evolution semigroups and non-perturbative solutions	6
Least squares estimation for delay McKean–Vlasov stochastic differential equations and interacting particle systems	6
Epidemic dynamics and wealth inequality under two feedback control strategies	6
Fully discrete low-regularity integrator for the Korteweg–de Vries equation	6
A note on enhanced dissipation of time-dependent shear flows	5
Global mild solutions of the non-cutoff Vlasov–Poisson–Boltzmann system	5
The Bramson correction for integro-differential Fisher–KPP equations	5
Emergent behaviors of Kuramoto model with frustration under switching topology	5
A quadratic spline projection method for computing stationary densities of random maps	5
A quantitative version of the transversality theorem	5
Stability for the 2D Micropolar equations with partial dissipation near Couette flow	5
KAM Theorem towards the Weak Diophantine Condition	5
Rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of gradient-dependent semilinear heat equations	5
Unconditionally optimal error estimate of a linearized variable-time-step BDF2 scheme for nonlinear parabolic equations	5
Low Mach number limit of the full compressible mhd equations with Cattaneo’s heat transfer law	5
Spectral Galerkin Method for Solving Elastic Wave Scattering Problems with Multiple Open Arcs	5
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> <!--EndFrag	4
Adaptive image processing: A bilevel structure learning approach for mixed-order total variation regularizers	4
A Nonlocal diffusion model with $H^1$ convergence for Dirichlet Boundary	4
Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows	4
Nonradiating sources of Maxwell's equations	4
<!--StartFragment --> <span class="cf0">Approximating Korobov functions via quantum circuits</span><!--EndFragment -->	4
Semilinear eigenvalue problem: Parametric analyticity and the uncertainty quantification	4
A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model	4
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	4
The critical curve for periodic degenerate Lane-Emden type system	4
On global solutions to the inhomogeneous, incompressible Navier–Stokes equations with temperature-dependent coefficients	4
On the expected number of real roots of random polynomials arising from evolutionary game theory	4
The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$	4
Optimal large-time behavior of the compressible Phan–Thein–Tanner model	3
On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model	3
Recovery of a distributed order fractional derivative in an unknown medium	3
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader	3
A note on first order quasi-stationary mean field games	3
An optimal design of random surfaces in solar cells via mini-batch stochastic gradient approach	3
Hyperbolicity study of models for turbulent two-phase flows obtained from the variational principle	3
A note on the relaxation process in a class of non-equilibrium two-phase flow models	3
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results	3
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint	3
A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer	3
Unipolar Euler–Poisson equations with time-dependent damping: blow-up and global existence	3

Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity	3
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation	3
Pattern alternations induced by nonlocal interactions	3
A note on optimization formulations of Markov decision processes	3
A kind of time-inconsistent corporate international investment problem with discontinuous cash flow	3
The Cahn-Hilliard-Boussinesq system with singular potential	3
Description of random level sets by polynomial chaos expansions	3
On the stochastic synchronization of the Winfree model with a multiplicative noise	3
A new <i>priori</i> error estimation of nonconforming element for two-dimensional linearly elastic shallow shell equations	3
Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation	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
Existence and uniqueness for “good” Boussinesq equations with quasi-periodic initial data	3
Identification of time-varying source term in time-fractional diffusion equations	3
Homogenization of parabolic systems with singular perturbations	3
Global regularity of 2D Boussinesq-Voigt equations	3
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain	3
The unconditionally optimal $H^1$-norm error estimate of a semi-implicit Galerkin FEMs VSBDF2 scheme for solving semilinear parabolic equations	3
Asymptotic formation and orbital stability of phase-locked states in Kuramoto&ndash;Lohe type synchronization models on Lie groups	2
A Cahn-Hilliard model coupled to viscoelasticity with large deformations	2
Consistency analysis of bilevel data-driven learning in inverse problems	2
On the instability of travelling wave solutions for the transport-Stokes equation	2
Isogeometric analysis-based numerical methods for the Allen-Cahn equation: Space-time continuous Petrov-Galerkin method and adaptive BDF2 method	2
Tensor PDE model of biological network formation	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
Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump	2
Stability and decay rate of viscous contact wave to one-dimensional compressible Navier-Stokes equations	2
Analysis and computation for the scattering problem of electromagnetic waves in chiral media	2
Weak solutions for a modified degenerate Cahn–Hilliard model for surface diffusion	2
The initial-boundary value problem for the Landau–Lifshitz equation with Gilbert damping term	2
Universal approximation of symmetric and anti-symmetric functions	2
Uniqueness of weak solutions to the Boussinesq equations with fractional dissipation	2
Blind super-resolution of point sources via fast iterative hard thresholding	2
Stabilized exponential time differencing schemes for the convective Allen–Cahn equation	2
Existence and stability of transonic shocks for two-dimensional steady Euler flows with magnetic effect	2
Reaction-diffusion equations derived from kinetic models and their Turing instability	2
Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case	2
Existence and large time behavior for a dissipative variant of the rotational NLS equation	2
Residual-based <i>a posteriori</i> error estimation for elliptic interface problems approximated by immersed finite element methods	2
Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in $\mathbb{R}^2$	2
Weak solutions to a generalized $1$-D compressible Landau-Lifshitz-Bloch equation	2
A fully well-balanced scheme for shallow water equations with Coriolis force	2
Weak time-periodic solutions to the Landau-Lifshitz-Bloch equation with an external magnetic field	2
Autonomous vehicles driving traffic: The Cauchy problem	2
Energy method for the Boltzmann equation of monatomic gaseous mixtures	2
Stability properties of the steady state for the isentropic compressible Navier–Stokes equations with density dependent viscosity in bounded intervals	2
A diffuse interface approach for vector-valued PDEs on surfaces	2
Error estimate of the nonuniform $L1$ type formula for the time fractional diffusion-wave equation	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
Analysis of a model of cell crawling migration	2
Sobolev training for physics-informed neural networks	1
Global convergence of triangularized orthogonalization-free method	1
On the interplay of finite-range interactions and time-delay in a Cucker-Smale ensemble	1
Local strong solutions to a class of compressible non-Newtonian fluid equations without initial compatibility conditions	1
Geometry of backflow transformation ansatze for quantum many-body fermionic wavefunctions	1
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption	1
<!--StartFragment --><span class="cf0">Statistical ensembles in integrable Hamiltonian systems with almost periodic transitions</span><!--EndFragment -->	1
Necessary conditions for blow-up solutions to the restricted Euler–Poisson equations	1
The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect	1
Dual quaternion matrices in multi-agent formation control	1
Stability of measure solutions to a generalized Boltzmann equation with collisions of a random number of particles	1
On two-dimensional steady hypersonic-limit Euler flows passing ramps and radon measure solutions of compressible Euler equations	1
The Cauchy problem for a coupling system of Vlasov-Fokker-Planck/compressible Navier-Stokes equations	1
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity	1
Traveling waves in a Keller–Segel model with logistic growth	1
On anisotropic non-Lipschitz restoration model: lower bound theory and iterative algorithm	1
Heterogeneous multiscale methods for rough-wall laminar viscous flow	1
Variational approach to simultaneous fusion and denoising of color images with different spatial resolution	1
Stability of large amplitude viscous shock wave for 1-D isentropic Navier–Stokes system in the half space	1
Measure-valued death state and local sensitivity analysis for Winfree models with uncertain high-order couplings	1
The Neumann boundary condition for the two-dimensional Lax–Wendroff scheme	1
Global boundedness and eventual regularity of chemotaxis-fluid model driven by porous medium diffusion	1
Approximate primal-dual fixed-point based langevin algorithms for non-smooth convex potentials	1
Adaptive preconditioned gradient descent with energy	1
Global well-posedness for a two-dimensional Navier-Stokes-Cahn-Hilliard-Boussinesq system with singular potential	1
Existence and decay of global strong solutions to the nonhomogeneous incompressible liquid crystal system with vacuum and density-dependent viscosity	1
Global regularity of some axisymmetric, single-signed vorticity in any dimension	1
Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme	1
Remark on the complete synchronization for the Kuramoto model with adaptive couplings	1

Multi-frequency averaging and uniform accuracy towards numerical approximations for a Bloch model	1
Combining resampling and reweighting for faithful stochastic optimization	1
Analysis of the time-domain PML problem for the electromagnetic scattering by periodic structures	1
Improved uniform error bounds of an exponential wave integrator method for the Klein–Gordon–Schrödinger equation with the small coupling constant	1
Non-uniqueness of transonic shock solutions to Euler–Poisson system with varying background charges	1
Error estimates of the sav method for the coupled Cahn–Hilliard system in copolymer/homopolymer mixtures	1
The hydrostatic limit of the Beris-Edwards system in dimension two	1
Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems	1
An asymptotic preserving scheme for Lévy-Fokker-Planck equation with fractional diffusion limit	1
Reproducing activation function for deep learning	1
Global existence and decay estimates of strong solutions for compressible non-isentropic magnetohydrodynamic flows with vacuum	1
Linearized stability of planar rarefaction wave for 3D gas dynamics in thermal nonequilibrium	1
From collisional kinetic models to sprays: internal energy exchanges	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
<!--StartFragment --> <span class="cf0">Global well-posedness of the 3D generalized rotational MHD system</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
Networks of sign-changing metamaterials: existence and spectral properties	1
Implicit-explicit Runge-Kutta methods for Landau-Lifshitz equation with arbitrary damping	1
Location of concentrated vortices in planar steady Euler flows	1
Van der Waals interactions between two hydrogen atoms: The next orders	1
Propagator norm and sharp decay estimates for Fokker–Planck equations with linear drift	1
Convergence analysis on seismic tomography for inverse problems of acoustic wave propagation	1
On connection among quantum-inspired algorithms of the Ising model	1
Operator shifting for model-based policy evaluation	1
Differentiable Hartman-Grobman Theorem via modulus of continuity: A sharp result on linearization in general Banach space	1
<!--StartFragment --><span class="cf0">Dissipation enhancement by shear flows for generalized diffusion operators in high dimension</span><!--EndFragment -->	1
An efficient interface hydrostatic reconstruction for the two-layer shallow flows with arbitrary wet-dry fronts	1
Global well-posedness for a generalized Keller-Segel system with degenerate dissipation and mixing	1