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
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
Well-posedness and long-time dynamics of fractional nonclassical diffusion equations with locally Lipschitz noise	9
Stability of the planar rarefaction wave to three-dimensional compressible model of viscous ions motion	8
Global small solutions to heat conductive compressible nematic liquid crystal system: smallness on a scaling invariant quantity	8
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
Location of concentrated vortices in planar steady Euler flows	7
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 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
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 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 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
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
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
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
Multi-frequency averaging and uniform accuracy towards numerical approximations for a Bloch model	2
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
Lack of exact controllability of a higher-order BBM system	1
Semiclassical states for the pseudo-relativistic Schrödinger equation with competing potentials	1
Ranks of quaternion tensors and corresponding real tensors	1
Vlasov-Poisson-Fokker-Planck equation in the adiabatic asymptotics	1
Continuous iterative algorithms for anti-Cheeger cut	1
Some flocking properties for a model of collective dynamics with topological interactions	1
Global well-posedness and decay of the low-regularity solution to the 3D density-dependent magnetohydrodynamic equations with vacuum	1
Improved uniform error bounds of an exponential wave integrator method for the Klein–Gordon–Schrödinger equation with the small coupling constant	1
A generalized mean-field game model for the dynamics of pedestrians with limited predictive abilities	1
Global strong solutions to the compressible Navier–Stokes system with potential temperature transport	1
Determination for the 2D incompressible Navier–Stokes equations in Lipschitz domain	1
The Cahn-Hilliard-Boussinesq system with singular potential	1

Conservative semi-Lagrangian schemes for a general consistent BGK model for inert gas mixtures	1
Error estimates of the sav method for the coupled Cahn–Hilliard system in copolymer/homopolymer mixtures	1
Initial mixed-boundary value problem for anisotropic fractional degenerate parabolic equations	1
Pointwise wave behavior of the non-isentropic Navier–Stokes equations in half space	1
On variational image denoising: A total scaled-gradient variation regularization framework and an accelerated operator-splitting solver	1
Revisiting the central limit theorems for the SGD-type methods	1
Sharp interface limit for compressible Navier–Stokes/Allen–Cahn system with shock wave	1
Existence of smooth solutions to the Landau–Fermi–Dirac equation with Coulomb potential	1
Cubic lifespan of two-dimensional hydroelastic waves	1
Global existence and decay estimates of strong solutions for compressible non-isentropic magnetohydrodynamic flows with vacuum	1
A variational approach for price formation models in one dimension	1
Global convergence in infinity-ion-mass limits for bipolar Euler-Poisson system	1
A stochastic Galerkin method for the direct and inverse random source problems of the Helmholtz equation	1
Semiconductor full quantum hydrodynamic model with non-flat doping profile: I) Stability of steady state	1
Numerical evidence of exponential mixing by alternating shear flows	1
Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems	1
Stability of large amplitude viscous shock wave for 1-D isentropic Navier–Stokes system in the half space	1
Boltzmann mean-field game model for knowledge growth: limits to learning and general utilities	1
Stability of non-degenerate stationary solution in inflow problem for a 1-D radiation hydrodynamics model	1
The delayed Cucker–Smale model with attractive power-law potentials	1
Kinetic model for myxobacteria with directional diffusion	1
Large, moderate deviations principle and $\alpha$-limit for the 2D stochastic LANS-$\alpha$	1
Spectral structure of electromagnetic scattering on arbitrarily shaped dielectrics	1
Gamma convergence for the de Gennes–Cahn–Hilliard energy	1
Global solution for equations governing the low-frequency ion motion in plasma	1
Global well-posedness for a two-dimensional Navier-Stokes-Cahn-Hilliard-Boussinesq system with singular potential	1
On homogenization of the Landau–Lifshitz equation with rapidly oscillating material coefficient	1
Classical spatially quasi-periodic solutions for the Degasperis-Procesi equation	1
Kinetic description and convergence analysis of genetic algorithms for global optimization	1
Reproducing activation function for deep learning	1
Global existence of a non-local semilinear parabolic equation with advection and applications to shear flow	1
Fokker–Planck modeling of many-agent systems in swarm manufacturing: asymptotic analysis and numerical results	1
Global dynamics in a chemotaxis model describing tumor angiogenesis with/without mitosis in any dimension	1
Some models for the interaction of long and short waves in dispersive media. Part II: Well-posedness	1
Rarefied gas dynamics with external fields under specular reflection boundary condition	1
Exponential decay for a class of non-local non-linear Schrödinger equations with localised damping	1
On BV-instability and existence for linearized radial Euler flows	1
Heterogeneous multiscale methods for rough-wall laminar viscous flow	1
Emergent behaviors of the kinetic Lohe Hermitian sphere model	1
A finite element method for Dirichlet boundary control of elliptic partial differential equations	1
Energy conservation for 2D Euler with vorticity in $L (\operatorname{log} L)^\alpha$	1
A note on enhanced dissipation of time-dependent shear flows	0
A Fourier collocation method for Schrödinger–Poisson system with perfectly matched layer	0
On the instability of travelling wave solutions for the transport-Stokes equation	0
A note on the relaxation process in a class of non-equilibrium two-phase flow models	0
Riemann–Hilbert problem for the focusing Hirota equation with counterpropagating flows	0
On anisotropic non-Lipschitz restoration model: lower bound theory and iterative algorithm	0
Stability of contact discontinuity for an isentropic viscosity system with Chaplygin gas	0
Machine learning methods for autonomous ordinary differential equations	0
A sharp critical threshold for a traffic flow model with look-ahead dynamics	0
Convergence from atomistic model to Peierls–Nabarro model for dislocations in bilayer system with complex lattice	0
Understanding high-index saddle dynamics via numerical analysis	0
Long term spatial homogeneity for a chemotaxis model with local sensing and consumption	0
The initial-boundary value problem for the Landau–Lifshitz equation with Gilbert damping term	0
Consistency analysis of bilevel data-driven learning in inverse problems	0
Data-driven, structure-preserving approximations to entropy-based moment closures for kinetic equations	0
Analog of linear Landau damping in a coupled Vlasov-Euler system for thick sprays	0
Blind super-resolution of point sources via fast iterative hard thresholding	0
Low Mach number limit of the full compressible mhd equations with Cattaneo’s heat transfer law	0
Augmented quaternion and augmented unit quaternion optimization	0
Discrete perturbed gradient flow and its application	0
Spatial manifestations of order reduction in Runge–Kutta methods for initial boundary value problems	0
Global smooth solutions to the two-dimensional axisymmetric Zeldovich-von Neumann-Döring combustion equations with swirl	0
Global weak solutions to the compressible magnetohydrodynamic and Vlasov equations	0
Spectral Galerkin Method for Solving Elastic Wave Scattering Problems with Multiple Open Arcs	0
Global well-posedness for a generalized Keller-Segel system with degenerate dissipation and mixing	0
Two-temperature Lagrangian hydrodynamics: path-consistent solutions and their numerical approximation through in-cell discontinuous reconstruction	0
The existence and limit behavior of the shock layer for 1D stationary compressible non-Newtonian fluids	0
A second-order accurate, energy stable numerical scheme for the one-dimensional porous medium equation by an energetic variational approach	0
Dissipation enhancement for a degenerated parabolic equation	0
A Cahn-Hilliard model coupled to viscoelasticity with large deformations	0
Homogenization of a transmission problem with sign-changing coefficients and interfacial flux jump	0
Observer-based data assimilation for barotropic gas transport using distributed measurements	0
Global-in-time stability of ground states of a pressureless hydrodynamic model of collective behaviour	0
Global existence for quasilinear degenerate two-species chemotaxis system with small initial data	0
The conditional barycenter problem, its data-driven formulation and its solution through normalizing flows	0
Recovery of a distributed order fractional derivative in an unknown medium	0
An energy stable finite difference scheme for the Ericksen–Leslie system with penalty function and its optimal rate convergence analysis	0
$G$-mean random attractors for complex Ginzburg–Landau equations with probability-uncertain initial data	0
Traveling waves in a Keller–Segel model with logistic growth	0

Connection between a degenerate particle flow model and a free boundary problem	0
Differentiable Hartman-Grobman Theorem via modulus of continuity: A sharp result on linearization in general Banach space	0
Local sensitivity analysis for the Vicsek-type self-organized hydrodynamic model	0
Dissipative solutions to the compressible isentropic Navier–Stokes equations	0
On the equilibrium of the Poisson–Nernst–Planck–Bikermann model equipping with the steric and correlation effects	0
Iso-frequency KAM persistence at degeneracy for multi-scale Hamiltonian systems	0
Thermodynamically consistent dynamic boundary conditions of phase field models	0
An efficient data-driven solver for Fokker–Planck equations: algorithm and analysis	0
On a system associated with p-wave superconductivity in $\mathbb{R}^2$	0
Weak time-periodic solutions to the Landau-Lifshitz-Bloch equation with an external magnetic field	0
Scalar auxiliary variable approach in iterative minimization formulation for saddle point search	0
KAM persistence for multiscale generalized Hamiltonian systems	0
Isogeometric analysis-based numerical methods for the Allen-Cahn equation: Space-time continuous Petrov-Galerkin method and adaptive BDF2 method	0
A general framework for nonlocal Neumann problems	0
Global strong solutions to the compressible magnetohydrodynamic equations with slip boundary conditions in a 3D exterior domain	0
Unified asymptotic analysis and numerical simulations of singularly perturbed linear differential equations under various nonlocal boundary effects	0
Global weak solutions to a three-dimensional compressible non-Newtonian fluid	0
On global regularity for a model of the regularized Boussinesq equations with zero diffusion	0
The global generalized solution of the chemotaxis-Navier–Stokes system with logistic source	0
Error estimate of the nonuniform $L1$ type formula for the time fractional diffusion-wave equation	0
Geometry of backflow transformation ansatze for quantum many-body fermionic wavefunctions	0
Vanishing viscosity limit for compressible magnetohydrodynamic equations with transverse background magnetic field	0
Optimal large time behavior of the compressible bipolar Navier–Stokes–Poisson system	0
Stability and convergence of a variable-step stabilized BDF2 stepping for the MBE model with slope selection	0
On the expected number of real roots of random polynomials arising from evolutionary game theory	0
From collisional kinetic models to sprays: internal energy exchanges	0
Discrete maximum principle of a high order finite difference scheme for a generalized Allen–Cahn equation	0
Approximate primal-dual fixed-point based langevin algorithms for non-smooth convex potentials	0
Deep Learning for Chaotic System via Euler Difference Neural Network	0
Non-uniqueness of transonic shock solutions to Euler–Poisson system with varying background charges	0
A Nonlocal diffusion model with $H^1$ convergence for Dirichlet Boundary	0
Hydrodynamic traffic flow models including random accidents: A kinetic derivation	0
Global existence and exponential stability of planar magnetohydrodynamics with temperature-dependent transport coefficients	0
Unipolar Euler–Poisson equations with time-dependent damping: blow-up and global existence	0
Sub-exponential convergence to steady-states for 1-D Euler–Poisson equations with time-dependent damping	0
Reaction-diffusion equations derived from kinetic models and their Turing instability	0
Homogenization of parabolic systems with singular perturbations	0
Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems	0
Boundedness in a three-dimensional chemotaxis-Stokes system involving a subcritical sensitivity and indirect signal production	0
A low Mach two-speed relaxation scheme for the compressible Euler equations with gravity	0
Stability of contact lines in 2D stationary Benard convection	0
Global existence and asymptotic behavior of the full Euler system with damping and radiative effects in $\mathbb{R}^3$	0
An asymptotic preserving scheme for Lévy-Fokker-Planck equation with fractional diffusion limit	0
Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities	0
Reinforced optimal control	0
A kind of time-inconsistent corporate international investment problem with discontinuous cash flow	0
Nonlocal Gagliardo-Nirenberg-Sobolev type inequality	0
Emergence of phase-locked states for a deterministic and stochastic Winfree model with inertia	0
A fully well-balanced scheme for shallow water equations with Coriolis force	0
A note on optimization formulations of Markov decision processes	0
On connection among quantum-inspired algorithms of the Ising model	0
Semilinear eigenvalue problem: Parametric analyticity and the uncertainty quantification	0
Least squares estimation for delay McKean–Vlasov stochastic differential equations and interacting particle systems	0
A new collision avoidance model with semi implicit random batch resolution	0
A kinetic discontinuous Galerkin method for the nonconservative bitemperature Euler model	0
Existence and decay of global strong solutions to the nonhomogeneous incompressible liquid crystal system with vacuum and density-dependent viscosity	0
Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations	0
Propagator norm and sharp decay estimates for Fokker–Planck equations with linear drift	0
Emergent behaviors of Kuramoto model with frustration under switching topology	0
Global convergence of triangularized orthogonalization-free method	0
The Cauchy problem for a coupling system of Vlasov-Fokker-Planck/compressible Navier-Stokes equations	0
Uniqueness of weak solutions to the Boussinesq equations with fractional dissipation	0
High friction limits of Euler–Navier–Stokes–Korteweg equations for multicomponent models	0
Linearized stability of planar rarefaction wave for 3D gas dynamics in thermal nonequilibrium	0
Wavenumber-explicit convergence analysis for finite element discretizations of time-harmonic wave propagation problems with perfectly matched layers	0
A diffuse interface approach for vector-valued PDEs on surfaces	0
Global smooth solutions to the 3D non-resistive MHD equations with low regularity axisymmetric data	0
IMEX variable step-size Runge-Kutta methods for parabolic integro-differential equations with nonsmooth initial data	0
On global solutions to the inhomogeneous, incompressible Navier–Stokes equations with temperature-dependent coefficients	0
Existence and large time behavior for a dissipative variant of the rotational NLS equation	0
Degenerate Cahn–Hilliard and incompressible limit of a Keller–Segel model	0
Global regularity of 2D Boussinesq-Voigt equations	0
Remark on the complete synchronization for the Kuramoto model with adaptive couplings	0
Existence theorems for a fourth-order exponential PDE related to crystal surface relaxation	0
Dynamic behavior for a gradient algorithm with energy and momentum	0
The gravitational Vlasov-Poisson system with infinite mass and velocities in $\mathbb{R}^3$	0
Continuum limits for adaptive network dynamics	0
The Neumann boundary condition for the two-dimensional Lax–Wendroff scheme	0
Adaptive image processing: A bilevel structure learning approach for mixed-order total variation regularizers	0
Asymptotic behavior of solutions to the unipolar hydrodynamic model of semiconductors with time-dependent damping in bounded domain	0
KAM Theorem towards the Weak Diophantine Condition	0
Improved uniform error bound on the time-splitting method for the long-time dynamics of the fractional nonlinear Schrödinger equation	0
A fractional Korn-type inequality for smooth domains and a regularity estimate for nonlinear nonlocal systems of equations	0
Simultaneously recovering running cost and Hamiltonian in mean field games system	0
A class of global large solutions to the Oldroyd-B-type model with fractional dissipation	0
Stability for the 2D Micropolar equations with partial dissipation near Couette flow	0
Existence of solutions for a bi-species kinetic model of a cylindrical Langmuir probe	0
Design of a mode converter using thin resonant ligaments	0
Chemotactic reaction enhancement in one dimension	0
Analysis of the time-domain PML problem for the electromagnetic scattering by periodic structures	0
Adaptive central-upwind scheme on triangular grids for the Saint–Venant system	0
Weak solutions to a generalized $1$-D compressible Landau-Lifshitz-Bloch equation	0
Convergence analysis of structure-preserving numerical methods based on Slotboom transformation for the Poisson–Nernst–Planck equations	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