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	12
A second-order well-balanced Lagrange-projection numerical scheme for shallow water Exner equations in 1D and 2D	11
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise	11
Optimal large-time behavior of the compressible Phan–Thein–Tanner model	10
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity	9
Location of concentrated vortices in planar steady Euler flows	9
Stability of measure solutions to a generalized Boltzmann equation with collisions of a random number of particles	9
Analysis and computation for the scattering problem of electromagnetic waves in chiral media	8
A Wasserstein norm for signed measures, with application to non-local transport equation with source term	8
Frozen Gaussian sampling: a mesh-free Monte Carlo method for approximating semiclassical Schrödinger equations	8
Global existence and stability of time-periodic solution to isentropic compressible Euler equations with source term	7
Existence and uniqueness of smooth solutions for the high-order Landau-Lifshitz type systems	7
A new <i>priori</i> error estimation of nonconforming element for two-dimensional linearly elastic shallow shell equations	7
Analysis of a model of cell crawling migration	6
Weighted irrigation plans	6
Local synchrony of Kuramoto oscillators on the cartesian product of two unit circles	6
Asymptotic behavior of solutions to the outflow problem for the compressible Navier–Stokes–Maxwell equations	5
A non-equilibrium multi-component model with miscible conditions	5
Residual-based <i>a posteriori</i> error estimation for elliptic interface problems approximated by immersed finite element methods	5
Global existence and large time behavior of strong solutions for nonhomogeneous heat conducting Navier–Stokes equations with large initial data and vacuum	5
Identification of time-varying source term in time-fractional diffusion equations	5
A derivative-free conjugate gradient method for large-scale nonlinear systems of monotone equations	5
On uniform second-order nonlocal approximations to diffusion and subdiffusion equations with nonlocal effect parameter	5

Robust estimation of effective diffusions from multiscale data	5
Local wellposedness of quasilinear Maxwell equations with conservative interface conditions	4
Asymptotic stability of nonlinear wave for an inflow problem to the compressible Navier-Stokes-Korteweg system	4
Combining resampling and reweighting for faithful stochastic optimization	4
Global regularity and time decay for the 2D magneto-micropolar system with fractional dissipation and partial magnetic diffusion	4
Global regularity criteria of the 3D MHD-Boussinesq equations without thermal diffusion	4
Mass-energy threshold dynamics for dipolar quantum gases	4
Description of random level sets by polynomial chaos expansions	4
On the global well-posedness and optimal large-time behavior of strong solution for a multi-dimensional two-fluid plasma model	4
Van der Waals interactions between two hydrogen atoms: The next orders	4
Sobolev training for physics-informed neural networks	3
ST-SVD factorization and s-diagonal tensors	3
Existence and uniqueness for “good” Boussinesq equations with quasi-periodic initial data	3
High energy blowup and blowup time for a class of semilinear parabolic equations with singular potential on manifolds with conical singularities	3
Lake equations with an evanescent or emergent island	3
Fast Sinkhorn I: An $O(N)$ algorithm for the Wasserstein-1 metric	3
Weak solutions for a modified degenerate Cahn–Hilliard model for surface diffusion	3
Operator shifting for model-based policy evaluation	3
Necessary conditions for blow-up solutions to the restricted Euler–Poisson equations	3
Global strong solution to the cauchy problem of 2D density-dependent Boussinesq equations for magnetohydrodynamics convection with thermal diffusion	3
Uniqueness of global weak solutions to the frame hydrodynamics for biaxial nematic phases in $\mathbb{R}^2$	3
On two-dimensional steady hypersonic-limit Euler flows passing ramps and radon measure solutions of compressible Euler equations	3
An optimal design of random surfaces in solar cells via mini-batch stochastic gradient approach	3
Nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics	3
Global boundedness and eventual regularity of chemotaxis-fluid model driven by porous medium diffusion	3
Accurate deterministic projection methods for stiff detonation waves	2
Stability and decay rate of viscous contact wave to one-dimensional compressible Navier-Stokes equations	2
The hydrostatic limit of the Beris-Edwards system in dimension two	2
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation	2
Vlasov-Poisson-Fokker-Planck equation in the adiabatic asymptotics	2
On variational image denoising: A total scaled-gradient variation regularization framework and an accelerated operator-splitting solver	2
Strong convergence rates of a fully discrete scheme for the stochastic Cahn-Hilliard equation with additive noise	2
On the stochastic synchronization of the Winfree model with a multiplicative noise	2
Lifespan estimates of solutions to the weakly coupled system of semilinear wave equations with space dependent dampings	2
Pattern alternations induced by nonlocal interactions	2
Cucker–Smale flocking under hierarchical leadership with time-delay and a free-will leader	2
Multi-frequency averaging and uniform accuracy towards numerical approximations for a Bloch model	2
Cubic lifespan of two-dimensional hydroelastic waves	2
Limiting dynamics for stochastic Navier-Stokes equations on expanding unbounded domains	2
Zero dissipation limit problem of 1-D Navier–Stokes equations	2
Convergence of the Fourier-Galerkin spectral method for the Boltzmann equation with uncertainties	2
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion	2
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials	2
Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave	2
Global well-posedness for a two-dimensional Navier-Stokes-Cahn-Hilliard-Boussinesq system with singular potential	2
Semiconductor full quantum hydrodynamic model with non-flat doping profile: I) Stability of steady state	1
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain	1
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results	1
Kinetic model for myxobacteria with directional diffusion	1
Improved uniform error bounds of an exponential wave integrator method for the Klein–Gordon–Schrödinger equation with the small coupling constant	1

Stability of non-degenerate stationary solution in inflow problem for a 1-D radiation hydrodynamics model	1
Stability of large amplitude viscous shock wave for 1-D isentropic Navier–Stokes system in the half space	1
Energy conservation for 2D Euler with vorticity in $L (\operatorname{log} L)^\alpha$	1
Boltzmann mean-field game model for knowledge growth: limits to learning and general utilities	1
Exponential decay for a class of non-local non-linear Schrödinger equations with localised damping	1
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption	1
Large, moderate deviations principle and $\alpha$-limit for the 2D stochastic LANS-$\alpha$	1
Kinetic description and convergence analysis of genetic algorithms for global optimization	1
Conservative semi-Lagrangian schemes for a general consistent BGK model for inert gas mixtures	1
Machine learning methods for autonomous ordinary differential equations	1
The global generalized solution of the chemotaxis-Navier–Stokes system with logistic source	1
Global strong solutions to the compressible Navier–Stokes system with potential temperature transport	1
Initial mixed-boundary value problem for anisotropic fractional degenerate parabolic equations	1
Existence of smooth solutions to the Landau–Fermi–Dirac equation with Coulomb potential	1
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness	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
Gamma convergence for the de Gennes–Cahn–Hilliard energy	1
The Cahn-Hilliard-Boussinesq system with singular potential	1
A finite element method for Dirichlet boundary control of elliptic partial differential equations	1
Revisiting the central limit theorems for the SGD-type methods	1
Lack of exact controllability of a higher-order BBM system	1
Numerical evidence of exponential mixing by alternating shear flows	1
Ranks of quaternion tensors and corresponding real tensors	1
Scalar auxiliary variable approach in iterative minimization formulation for saddle point search	1
Continuous iterative algorithms for anti-Cheeger cut	1
Pointwise wave behavior of the non-isentropic Navier–Stokes equations in half space	1
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain	1
Some flocking properties for a model of collective dynamics with topological interactions	1
A variational approach for price formation models in one dimension	1
A generalized mean-field game model for the dynamics of pedestrians with limited predictive abilities	1
Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems	1
Heterogeneous multiscale methods for rough-wall laminar viscous flow	1
Global well-posedness and decay of the low-regularity solution to the 3D density-dependent magnetohydrodynamic equations with vacuum	1
Global dynamics in a chemotaxis model describing tumor angiogenesis with/without mitosis in any dimension	1
On BV-instability and existence for linearized radial Euler flows	1
Rarefied gas dynamics with external fields under specular reflection boundary condition	1
Reproducing activation function for deep learning	1
Global solution for equations governing the low-frequency ion motion in plasma	1
Spectral structure of electromagnetic scattering on arbitrarily shaped dielectrics	1
The delayed Cucker–Smale model with attractive power-law potentials	1
Global existence and decay estimates of strong solutions for compressible non-isentropic magnetohydrodynamic flows with vacuum	1
Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations	1
Global convergence in infinity-ion-mass limits for bipolar Euler-Poisson system	1
Emergent behaviors of the kinetic Lohe Hermitian sphere model	1
The Cauchy problem for a coupling system of Vlasov-Fokker-Planck/compressible Navier-Stokes equations	1
Global existence of a non-local semilinear parabolic equation with advection and applications to shear flow	1
On homogenization of the Landau–Lifshitz equation with rapidly oscillating material coefficient	1
Weak time-periodic solutions to the Landau-Lifshitz-Bloch equation with an external magnetic field	0
Existence, uniqueness and approximation of solutions of SDEs with superlinear coefficients in the presence of discontinuities of the drift coefficient	0
Global existence and exponential stability of planar magnetohydrodynamics with temperature-dependent transport coefficients	0
Global regularity of 2D Boussinesq-Voigt equations	0
On anisotropic non-Lipschitz restoration model: lower bound theory and iterative algorithm	0
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities	0
Existence theorems for a fourth-order exponential PDE related to crystal surface relaxation	0
IMEX variable step-size Runge-Kutta methods for parabolic integro-differential equations with nonsmooth initial data	0
Dynamic behavior for a gradient algorithm with energy and momentum	0
Dissipative solutions to the compressible isentropic Navier–Stokes equations	0
The critical curve for periodic degenerate Lane-Emden type system	0
A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model	0
A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach	0
Homogenization of parabolic systems with singular perturbations	0
Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump	0
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity	0
A diffuse interface approach for vector-valued PDEs on surfaces	0
Data-driven, structure-preserving approximations to entropy-based moment closures for kinetic equations	0
A Cahn-Hilliard model coupled to viscoelasticity with large deformations	0
The initial-boundary value problem for the Landau–Lifshitz equation with Gilbert damping term	0
Spectral Galerkin Method for Solving Elastic Wave Scattering Problems with Multiple Open Arcs	0
Improved uniform error bound on the time-splitting method for the long-time dynamics of the fractional nonlinear Schrödinger equation	0
Emergence of phase-locked states for a deterministic and stochastic Winfree model with inertia	0
Geometry of backflow transformation ansatze for quantum many-body fermionic wavefunctions	0
The existence and limit behavior of the shock layer for 1D stationary compressible non-Newtonian fluids	0
$G$-mean random attractors for complex Ginzburg–Landau equations with probability-uncertain initial data	0
On connection among quantum-inspired algorithms of the Ising model	0
On the expected number of real roots of random polynomials arising from evolutionary game theory	0
An energy stable finite difference scheme for the Ericksen–Leslie system with penalty function and its optimal rate convergence analysis	0
Least squares estimation for delay McKean–Vlasov stochastic differential equations and interacting particle systems	0
A class of global large solutions to the Oldroyd-B-type model with fractional dissipation	0
Existence and large time behavior for a dissipative variant of the rotational NLS equation	0

Sub-exponential convergence to steady-states for 1-D Euler–Poisson equations with time-dependent damping	0
Global-in-time stability of ground states of a pressureless hydrodynamic model of collective behaviour	0
Linearized stability of planar rarefaction wave for 3D gas dynamics in thermal nonequilibrium	0
A note on optimization formulations of Markov decision processes	0
Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows	0
Error estimate of the nonuniform $L1$ type formula for the time fractional diffusion-wave equation	0
A fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations	0
Remark on the complete synchronization for the Kuramoto model with adaptive couplings	0
Spatial manifestations of order reduction in Runge–Kutta methods for initial boundary value problems	0
Global regularity of some axisymmetric, single-signed vorticity in any dimension	0
The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$	0
Iso-frequency KAM persistence at degeneracy for multi-scale Hamiltonian systems	0
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data	0
KAM persistence for multiscale generalized Hamiltonian systems	0
Global smooth solutions to the two-dimensional axisymmetric Zeldovich-von Neumann-Döring combustion equations with swirl	0
Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation	0
Recovery of a distributed order fractional derivative in an unknown medium	0
High friction limits of Euler–Navier–Stokes–Korteweg equations for multicomponent models	0
Dissipation enhancement for a degenerated parabolic equation	0
Global well-posedness for a generalized Keller-Segel system with degenerate dissipation and mixing	0
Unipolar Euler–Poisson equations with time-dependent damping: blow-up and global existence	0
Connection between a degenerate particle flow model and a free boundary problem	0
Approximate primal-dual fixed-point based langevin algorithms for non-smooth convex potentials	0
Reaction-diffusion equations derived from kinetic models and their Turing instability	0
An efficient data-driven solver for Fokker–Planck equations: algorithm and analysis	0
Boundedness in a three-dimensional chemotaxis-Stokes system involving a subcritical sensitivity and indirect signal production	0
Unified asymptotic analysis and numerical simulations of singularly perturbed linear differential equations under various nonlocal boundary effects	0
On the instability of travelling wave solutions for the transport-Stokes equation	0
Hydrodynamic traffic flow models including random accidents: A kinetic derivation	0
The conditional barycenter problem, its data-driven formulation and its solution through normalizing flows	0
On a system associated with p-wave superconductivity in $\mathbb{R}^2$	0
A Nonlocal diffusion model with $H^1$ convergence for Dirichlet Boundary	0
Stability of contact lines in 2D stationary Benard convection	0
Convergence analysis of structure-preserving numerical methods based on Slotboom transformation for the Poisson–Nernst–Planck equations	0
Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data	0
Semilinear eigenvalue problem: Parametric analyticity and the uncertainty quantification	0
Reinforced optimal control	0
A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer	0
A fully well-balanced scheme for shallow water equations with Coriolis force	0
Existence and decay of global strong solutions to the nonhomogeneous incompressible liquid crystal system with vacuum and density-dependent viscosity	0
Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers	0
Discrete perturbed gradient flow and its application	0
Emergent behaviors of Kuramoto model with frustration under switching topology	0
A general framework for nonlocal Neumann problems	0
Stabilized exponential time differencing schemes for the convective Allen–Cahn equation	0
Global weak solutions to a three-dimensional compressible non-Newtonian fluid	0
A new collision avoidance model with semi implicit random batch resolution	0
Propagator norm and sharp decay estimates for Fokker–Planck equations with linear drift	0
Blind super-resolution of point sources via fast iterative hard thresholding	0
Adaptive central-upwind scheme on triangular grids for the Saint–Venant system	0
Global weak solutions to the compressible magnetohydrodynamic and Vlasov equations	0
Isogeometric analysis-based numerical methods for the Allen-Cahn equation: Space-time continuous Petrov-Galerkin method and adaptive BDF2 method	0
Analog of linear Landau damping in a coupled Vlasov-Euler system for thick sprays	0
Two-temperature Lagrangian hydrodynamics: path-consistent solutions and their numerical approximation through in-cell discontinuous reconstruction	0
Weak solutions to a generalized $1$-D compressible Landau-Lifshitz-Bloch equation	0
Augmented quaternion and augmented unit quaternion optimization	0
Adaptive image processing: A bilevel structure learning approach for mixed-order total variation regularizers	0
Local sensitivity analysis for the Vicsek-type self-organized hydrodynamic model	0
Deep Learning for Chaotic System via Euler Difference Neural Network	0
Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems	0
Stability of planar rarefaction wave for viscous vasculogenesis model	0
On global regularity for a model of the regularized Boussinesq equations with zero diffusion	0
Vanishing viscosity limit for compressible magnetohydrodynamic equations with transverse background magnetic field	0
The Neumann boundary condition for the two-dimensional Lax–Wendroff scheme	0
Asymptotic behavior of solutions to the unipolar hydrodynamic model of semiconductors with time-dependent damping in bounded domain	0
Nonlocal Gagliardo-Nirenberg-Sobolev type inequality	0
Understanding high-index saddle dynamics via numerical analysis	0
From collisional kinetic models to sprays: internal energy exchanges	0
On global solutions to the inhomogeneous, incompressible Navier–Stokes equations with temperature-dependent coefficients	0
Uniqueness of weak solutions to the Boussinesq equations with fractional dissipation	0
KAM Theorem towards the Weak Diophantine Condition	0
Design of a mode converter using thin resonant ligaments	0
Degenerate Cahn–Hilliard and incompressible limit of a Keller–Segel model	0
Simultaneously recovering running cost and Hamiltonian in mean field games system	0
Optimal large time behavior of the compressible bipolar Navier–Stokes–Poisson system	0
Continuum limits for adaptive network dynamics	0
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe	0
On the equilibrium of the Poisson–Nernst–Planck–Bikermann model equipping with the steric and correlation effects	0
Low Mach number limit of the full compressible mhd equations with Cattaneo’s heat transfer law	0
Observer-based data assimilation for barotropic gas transport using distributed measurements	0
Blow-up time of strong solutions to a biological network formation model in high space dimensions	0
An asymptotic preserving scheme for Lévy-Fokker-Planck equation with fractional diffusion limit	0
Stability for the 2D Micropolar equations with partial dissipation near Couette flow	0
Stability of contact discontinuity for an isentropic viscosity system with Chaplygin gas	0
A note on the relaxation process in a class of non-equilibrium two-phase flow models	0
Analysis of the time-domain PML problem for the electromagnetic scattering by periodic structures	0
Convergence from atomistic model to Peierls–Nabarro model for dislocations in bilayer system with complex lattice	0
Global convergence of triangularized orthogonalization-free method	0
Global existence and asymptotic behavior of the full Euler system with damping and radiative effects in $\mathbb{R}^3$	0
Consistency analysis of bilevel data-driven learning in inverse problems	0
Global mild solutions of the non-cutoff Vlasov–Poisson–Boltzmann system	0
A sharp critical threshold for a traffic flow model with look-ahead dynamics	0
Stability and convergence of a variable-step stabilized BDF2 stepping for the MBE model with slope selection	0
Thermodynamically consistent dynamic boundary conditions of phase field models	0
Non-uniqueness of transonic shock solutions to Euler–Poisson system with varying background charges	0