Communications in Mathematical Sciences

Article	Citations
Mean-field limit of point vortices for the lake equations	20
Modelling coevolutionary dynamics in heterogeneous SI epidemiological systems across scales	12
Error analysis of Galerkin spectral methods for nonlinear optimal control problems with integral control constraint	11
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise	9
A second-order well-balanced Lagrange-projection numerical scheme for shallow water Exner equations in 1D and 2D	9
Optimal large-time behavior of the compressible Phan–Thein–Tanner model	9
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity	8
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion	8
Location of concentrated vortices in planar steady Euler flows	7
On two-dimensional steady hypersonic-limit Euler flows passing ramps and radon measure solutions of compressible Euler equations	7
Stability of measure solutions to a generalized Boltzmann equation with collisions of a random number of particles	7
A Wasserstein norm for signed measures, with application to non-local transport equation with source term	6
Analysis and computation for the scattering problem of electromagnetic waves in chiral media	6
Frozen Gaussian sampling: a mesh-free Monte Carlo method for approximating semiclassical Schrödinger equations	6
Existence and uniqueness of smooth solutions for the high-order Landau-Lifshitz type systems	6
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term	6
A new <i>priori</i> error estimation of nonconforming element for two-dimensional linearly elastic shallow shell equations	6
A derivative-free conjugate gradient method for large-scale nonlinear systems of monotone equations	5
Weighted irrigation plans	5
High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities	5
Local synchrony of Kuramoto oscillators on the cartesian product of two unit circles	5
Analysis of a model of cell crawling migration	5
Global existence and large time behavior of strong solutions for nonhomogeneous heat conducting Navier–Stokes equations with large initial data and vacuum	4
Asymptotic behavior of solutions to the outflow problem for the compressible Navier–Stokes–Maxwell equations	4
Global regularity and time decay for the 2D magneto-micropolar system with fractional dissipation and partial magnetic diffusion	4

Residual-based <i>a posteriori</i> error estimation for elliptic interface problems approximated by immersed finite element methods	4
Robust estimation of effective diffusions from multiscale data	4
Description of random level sets by polynomial chaos expansions	4
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter	4
Identification of time-varying source term in time-fractional diffusion equations	4
A non-equilibrium multi-component model with miscible conditions	4
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion	3
Mass-energy threshold dynamics for dipolar quantum gases	3
Global strong solution to the cauchy problem of 2D density-dependent Boussinesq equations for magnetohydrodynamics convection with thermal diffusion	3
Weak solutions for a modified degenerate Cahn–Hilliard model for surface diffusion	3
On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model	3
Van der Waals interactions between two hydrogen atoms: The next orders	3
Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in $\mathbb{R}^2$	3
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric	3
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions	3
Asymptotic stability of nonlinear wave for an inflow problem to the compressible Navier-Stokes-Korteweg system	3
Combining resampling and reweighting for faithful stochastic optimization	3
Sobolev training for physics-informed neural networks	3
Global boundedness and eventual regularity of chemotaxis-fluid model driven by porous medium diffusion	3
The hydrostatic limit of the Beris-Edwards system in dimension two	2
Stability and decay rate of viscous contact wave to one-dimensional compressible Navier-Stokes equations	2
Limiting dynamics for stochastic Navier-Stokes equations on expanding unbounded domains	2
Operator shifting for model-based policy evaluation	2
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics	2
Lake equations with an evanescent or emergent island	2
Pattern alternations induced by nonlocal interactions	2
On the stochastic synchronization of the Winfree model with a multiplicative noise	2
Convergence of the Fourier-Galerkin spectral method for the Boltzmann equation with uncertainties	2
An optimal design of random surfaces in solar cells via mini-batch stochastic gradient approach	2
ST-SVD factorization and s-diagonal tensors	2
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader	2
Zero dissipation limit problem of 1-D Navier–Stokes equations	2
Strong convergence rates of a fully discrete scheme for the stochastic Cahn-Hilliard equation with additive noise	2
Lifespan estimates of solutions to the weakly coupled system of semilinear wave equations with space dependent dampings	2
Existence and uniqueness for “good” Boussinesq equations with quasi-periodic initial data	2
Necessary conditions for blow-up solutions to the restricted Euler–Poisson equations	2
Accurate deterministic projection methods for stiff detonation waves	2
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation	2
The global generalized solution of the chemotaxis-Navier–Stokes system with logistic source	1
A variational approach for price formation models in one dimension	1
Some flocking properties for a model of collective dynamics with topological interactions	1
Lack of exact controllability of a higher-order BBM system	1
Global convergence in infinity-ion-mass limits for bipolar Euler-Poisson system	1
Gamma convergence for the de Gennes–Cahn–Hilliard energy	1
Improved uniform error bounds of an exponential wave integrator method for the Klein–Gordon–Schrödinger equation with the small coupling constant	1
Global solution for equations governing the low-frequency ion motion in plasma	1
The delayed Cucker–Smale model with attractive power-law potentials	1
On variational image denoising: A total scaled-gradient variation regularization framework and an accelerated operator-splitting solver	1
A generalized mean-field game model for the dynamics of pedestrians with limited predictive abilities	1
Cubic lifespan of two-dimensional hydroelastic waves	1

Semiconductor full quantum hydrodynamic model with non-flat doping profile: I) Stability of steady state	1
On BV-instability and existence for linearized radial Euler flows	1
Pointwise wave behavior of the non-isentropic Navier–Stokes equations in half space	1
Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations	1
The Cahn-Hilliard-Boussinesq system with singular potential	1
The Cauchy problem for a coupling system of Vlasov-Fokker-Planck/compressible Navier-Stokes equations	1
Global dynamics in a chemotaxis model describing tumor angiogenesis with/without mitosis in any dimension	1
Error estimates of the sav method for the coupled Cahn–Hilliard system in copolymer/homopolymer mixtures	1
A stochastic Galerkin method for the direct and inverse random source problems of the Helmholtz equation	1
A finite element method for Dirichlet boundary control of elliptic partial differential equations	1
Numerical evidence of exponential mixing by alternating shear flows	1
Energy conservation for 2D Euler with vorticity in $L (\operatorname{log} L)^\alpha$	1
Exponential decay for a class of non-local non-linear Schrödinger equations with localised damping	1
Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave	1
Boltzmann mean-field game model for knowledge growth: limits to learning and general utilities	1
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials	1
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness	1
Stability of large amplitude viscous shock wave for 1-D isentropic Navier–Stokes system in the half space	1
Spectral structure of electromagnetic scattering on arbitrarily shaped dielectrics	1
Conservative semi-Lagrangian schemes for a general consistent BGK model for inert gas mixtures	1
Emergent behaviors of the kinetic Lohe Hermitian sphere model	1
Machine learning methods for autonomous ordinary differential equations	1
Global well-posedness and decay of the low-regularity solution to the 3D density-dependent magnetohydrodynamic equations with vacuum	1
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption	1
Global existence of a non-local semilinear parabolic equation with advection and applications to shear flow	1
Rarefied gas dynamics with external fields under specular reflection boundary condition	1
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results	1
Reproducing activation function for deep learning	1
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain	1
Revisiting the central limit theorems for the SGD-type methods	1
Large, moderate deviations principle and $\alpha$-limit for the 2D stochastic LANS-$\alpha$	1
Global well-posedness for a two-dimensional Navier-Stokes-Cahn-Hilliard-Boussinesq system with singular potential	1
Initial mixed-boundary value problem for anisotropic fractional degenerate parabolic equations	1
On homogenization of the Landau–Lifshitz equation with rapidly oscillating material coefficient	1
Heterogeneous multiscale methods for rough-wall laminar viscous flow	1
Existence of smooth solutions to the Landau–Fermi–Dirac equation with Coulomb potential	1
Stability of non-degenerate stationary solution in inflow problem for a 1-D radiation hydrodynamics model	1
Kinetic model for myxobacteria with directional diffusion	1
Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems	1
Global strong solutions to the compressible Navier–Stokes system with potential temperature transport	1
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain	1
Optimal large time behavior of the compressible bipolar Navier–Stokes–Poisson system	0
Design of a mode converter using thin resonant ligaments	0
Stability and convergence of a variable-step stabilized BDF2 stepping for the MBE model with slope selection	0
Propagator norm and sharp decay estimates for Fokker–Planck equations with linear drift	0
Tensor PDE model of biological network formation	0
On anisotropic non-Lipschitz restoration model: lower bound theory and iterative algorithm	0
Existence, uniqueness and approximation of solutions of SDEs with superlinear coefficients in the presence of discontinuities of the drift coefficient	0
Linearized stability of planar rarefaction wave for 3D gas dynamics in thermal nonequilibrium	0
Global weak solutions to the compressible magnetohydrodynamic and Vlasov equations	0
Flocking behavior of the Cucker–Smale model under a general digraph on the infinite cylinder	0
Unipolar Euler–Poisson equations with time-dependent damping: blow-up and global existence	0
Global regularity of 2D Boussinesq-Voigt equations	0
On the instability of travelling wave solutions for the transport-Stokes equation	0
Two-temperature Lagrangian hydrodynamics: path-consistent solutions and their numerical approximation through in-cell discontinuous reconstruction	0
The Bramson correction for integro-differential Fisher–KPP equations	0
Boundedness in a three-dimensional chemotaxis-Stokes system involving a subcritical sensitivity and indirect signal production	0
Traveling waves in a Keller–Segel model with logistic growth	0
Semilinear eigenvalue problem: Parametric analyticity and the uncertainty quantification	0
Adaptive image processing: A bilevel structure learning approach for mixed-order total variation regularizers	0
A Cahn-Hilliard model coupled to viscoelasticity with large deformations	0
The Neumann boundary condition for the two-dimensional Lax–Wendroff scheme	0
Continuum limits for adaptive network dynamics	0
Low-Mach type approximation of the Navier–Stokes system with temperature and salinity for free surface flows	0
IMEX variable step-size Runge-Kutta methods for parabolic integro-differential equations with nonsmooth initial data	0
Geometry of backflow transformation ansatze for quantum many-body fermionic wavefunctions	0
A fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations	0
Spectral Galerkin Method for Solving Elastic Wave Scattering Problems with Multiple Open Arcs	0
Thermodynamically consistent dynamic boundary conditions of phase field models	0
Global well-posedness for a generalized Keller-Segel system with degenerate dissipation and mixing	0
Existence and decay of global strong solutions to the nonhomogeneous incompressible liquid crystal system with vacuum and density-dependent viscosity	0
Improved uniform error bound on the time-splitting method for the long-time dynamics of the fractional nonlinear Schrödinger equation	0
On the expected number of real roots of random polynomials arising from evolutionary game theory	0
A new collision avoidance model with semi implicit random batch resolution	0
Observer-based data assimilation for barotropic gas transport using distributed measurements	0
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe	0
Stability of planar rarefaction wave for viscous vasculogenesis model	0
Blow-up time of strong solutions to a biological network formation model in high space dimensions	0
Data-driven, structure-preserving approximations to entropy-based moment closures for kinetic equations	0
On the equilibrium of the Poisson–Nernst–Planck–Bikermann model equipping with the steric and correlation effects	0

Connection between a degenerate particle flow model and a free boundary problem	0
A note on the relaxation process in a class of non-equilibrium two-phase flow models	0
High friction limits of Euler–Navier–Stokes–Korteweg equations for multicomponent models	0
An asymptotic preserving scheme for Lévy-Fokker-Planck equation with fractional diffusion limit	0
Uniqueness of weak solutions to the Boussinesq equations with fractional dissipation	0
Energy stability of variable-step L1-type schemes for time-fractional Cahn–Hilliard model	0
A diffuse interface approach for vector-valued PDEs on surfaces	0
Differentiable Hartman-Grobman Theorem via modulus of continuity: A sharp result on linearization in general Banach space	0
On global solutions to the inhomogeneous, incompressible Navier–Stokes equations with temperature-dependent coefficients	0
Global regularity of some axisymmetric, single-signed vorticity in any dimension	0
Spatial manifestations of order reduction in Runge–Kutta methods for initial boundary value problems	0
A sharp critical threshold for a traffic flow model with look-ahead dynamics	0
On the analyticity and gevrey regularity of solutions to the three-dimensional inviscid Boussinesq equations in a half space	0
Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems	0
Augmented quaternion and augmented unit quaternion optimization	0
Convergence from atomistic model to Peierls–Nabarro model for dislocations in bilayer system with complex lattice	0
Non-uniqueness of transonic shock solutions to Euler–Poisson system with varying background charges	0
Global mild solutions of the non-cutoff Vlasov–Poisson–Boltzmann system	0
Asymptotic behavior of solutions to the unipolar hydrodynamic model of semiconductors with time-dependent damping in bounded domain	0
Global smooth solutions to the two-dimensional axisymmetric Zeldovich-von Neumann-Döring combustion equations with swirl	0
Existence theorems for a fourth-order exponential PDE related to crystal surface relaxation	0
Global existence and exponential stability of planar magnetohydrodynamics with temperature-dependent transport coefficients	0
Recovery of a distributed order fractional derivative in an unknown medium	0
Dynamic behavior for a gradient algorithm with energy and momentum	0
KAM Theorem towards the Weak Diophantine Condition	0
Analysis of the time-domain PML problem for the electromagnetic scattering by periodic structures	0
The $hp$-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect	0
The conditional barycenter problem, its data-driven formulation and its solution through normalizing flows	0
An efficient data-driven solver for Fokker–Planck equations: algorithm and analysis	0
The existence and limit behavior of the shock layer for 1D stationary compressible non-Newtonian fluids	0
Dissipation enhancement for a degenerated parabolic equation	0
Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data	0
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data	0
An energy stable finite difference scheme for the Ericksen–Leslie system with penalty function and its optimal rate convergence analysis	0
A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach	0
Universal approximation of symmetric and anti-symmetric functions	0
Stability of contact discontinuity for an isentropic viscosity system with Chaplygin gas	0
Adaptive central-upwind scheme on triangular grids for the Saint–Venant system	0
Degenerate Cahn–Hilliard and incompressible limit of a Keller–Segel model	0
Emergence of phase-locked states for a deterministic and stochastic Winfree model with inertia	0
Global convergence of triangularized orthogonalization-free method	0
$G$-mean random attractors for complex Ginzburg–Landau equations with probability-uncertain initial data	0
Stability for the 2D Micropolar equations with partial dissipation near Couette flow	0
Least squares estimation for delay McKean–Vlasov stochastic differential equations and interacting particle systems	0
Emergent behaviors of Kuramoto model with frustration under switching topology	0
On connection among quantum-inspired algorithms of the Ising model	0
Nonlocal Gagliardo-Nirenberg-Sobolev type inequality	0
Scalar auxiliary variable approach in iterative minimization formulation for saddle point search	0
Consistency analysis of bilevel data-driven learning in inverse problems	0
A class of global large solutions to the Oldroyd-B-type model with fractional dissipation	0
The initial-boundary value problem for the Landau–Lifshitz equation with Gilbert damping term	0
A kind of time-inconsistent corporate international investment problem with discontinuous cash flow	0
Blind super-resolution of point sources via fast iterative hard thresholding	0
Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows	0
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities	0
Analog of linear Landau damping in a coupled Vlasov-Euler system for thick sprays	0
Weak solutions to a generalized $1$-D compressible Landau-Lifshitz-Bloch equation	0
Remark on the complete synchronization for the Kuramoto model with adaptive couplings	0
Epidemic dynamics and wealth inequality under two feedback control strategies	0
Dissipative solutions to the compressible isentropic Navier–Stokes equations	0
From collisional kinetic models to sprays: internal energy exchanges	0
Approximate primal-dual fixed-point based langevin algorithms for non-smooth convex potentials	0
The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$	0
Stabilized exponential time differencing schemes for the convective Allen–Cahn equation	0
Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump	0
Deep Learning for Chaotic System via Euler Difference Neural Network	0
Understanding high-index saddle dynamics via numerical analysis	0
KAM persistence for multiscale generalized Hamiltonian systems	0
Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation	0
Hydrodynamic traffic flow models including random accidents: A kinetic derivation	0
A Nonlocal diffusion model with $H^1$ convergence for Dirichlet Boundary	0
On a system associated with p-wave superconductivity in $\mathbb{R}^2$	0
Local sensitivity analysis for the Vicsek-type self-organized hydrodynamic model	0
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity	0
A note on optimization formulations of Markov decision processes	0
Sub-exponential convergence to steady-states for 1-D Euler–Poisson equations with time-dependent damping	0
Vanishing viscosity limit for compressible magnetohydrodynamic equations with transverse background magnetic field	0
Low Mach number limit of the full compressible mhd equations with Cattaneo’s heat transfer law	0
Global existence and asymptotic behavior of the full Euler system with damping and radiative effects in $\mathbb{R}^3$	0
On global regularity for a model of the regularized Boussinesq equations with zero diffusion	0
Reaction-diffusion equations derived from kinetic models and their Turing instability	0
Homogenization of parabolic systems with singular perturbations	0
A general framework for nonlocal Neumann problems	0
Global-in-time stability of ground states of a pressureless hydrodynamic model of collective behaviour	0
A fully well-balanced scheme for shallow water equations with Coriolis force	0
Reinforced optimal control	0
Existence and large time behavior for a dissipative variant of the rotational NLS equation	0
Convergence analysis of structure-preserving numerical methods based on Slotboom transformation for the Poisson–Nernst–Planck equations	0
Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers	0
Global weak solutions to a three-dimensional compressible non-Newtonian fluid	0
A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer	0
Unified asymptotic analysis and numerical simulations of singularly perturbed linear differential equations under various nonlocal boundary effects	0
Stability of contact lines in 2D stationary Benard convection	0
Error estimate of the nonuniform $L1$ type formula for the time fractional diffusion-wave equation	0
Discrete perturbed gradient flow and its application	0