Mathematical Models & Methods in Applied Sciences

Article	Citations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	120
MirrorCBO: A consensus-based optimization method in the spirit of mirror descent	73
A duality and free boundary approach to adverse selection	50
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	41
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	26
Intrinsic unconditional stability in space-time isogeometric approximation of the acoustic wave equation in second-order formulation	25
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	23
On the stabilization of a virtual element method for an acoustic vibration problem	23
Erratum: Doubly nonlinear stochastic evolution equations	22
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	22
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	22
AT1 fourth-order isogeometric phase-field modeling of brittle fracture	20
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model	20
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	19
Curvature in chemotaxis: A model for ant trail pattern formation	18
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	17
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	17
Derivation of a von Kármán plate theory for thermoviscoelastic solids	17
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	17
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	16
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	15
Author index Volume 35	15
A stabilized hybridized Nitsche method for sign-changing elliptic PDEs	15
Weak–strong uniqueness for energy-reaction-diffusion systems	15
Korn–Maxwell–Sobolev inequalities for general incompatibilities	15

Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	15
Pressure-robust finite element discretizations of the nonlinear Stokes equations	15
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source	14
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	13
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	13
Prediction-correction pedestrian flow by means of minimum flow problem	13
Local Conservation Laws and Entropy Inequality for Kinetic Models with Delocalized Collision Integral	13
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	13
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	13
Cross-diffusion models in complex frameworks from microscopic to macroscopic	12
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	12
Embedding General Conservation Constraints in Discretizations of Hyperbolic Systems on Arbitrary Meshes: A Multidimensional Framework	12
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics	12
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	12
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations	12
On the mathematical theory of behavioral swarms emerging collective dynamics	11
Combining physics-based and data-driven models: advancing the frontiers of research with scientific machine learning	11
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect	11
Multilevel domain uncertainty quantification in computational electromagnetics	11
Interpolation and stability estimates for edge and face virtual elements of general order	11
Beltrami’s completeness for ????p symmetric matrix fields	11
Time fractional gradient flows: Theory and numerics	10
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	10
Entropy-based convergence rates of greedy algorithms	10
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	10
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	10
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	10
Effects of degeneracies in taxis-driven evolution	9
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	9
A Virtual Element Method on polyhedra with curved faces	9
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	9
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	9
Identifying early tumor states in a Cahn–Hilliard-reaction–diffusion model	9
Multivariate Gini-type discrepancies	8
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	8
Finite element approximation of unique continuation of functions with finite dimensional trace	8
Singular patterns in Keller–Segel-type models	8
The synergy between two threats: Disinformation and COVID-19	8
The particle paths of hyperbolic conservation laws	8
Random sampling-based gradient descent method for optimal control problems with variance reduction	8
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	8
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	8
Consensus-based optimization via jump-diffusion stochastic differential equations	8
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	8
Macroscopic modeling of social crowds	8
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	7
Existence of multi-spikes in the Keller–Segel model with logistic growth	7
A nonlinear bending theory for nematic LCE plates	7
Conservation laws with discontinuous gradient-dependent flux: The stable case	7
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	7

Editorial: Active particle models and methods in science and society	7
An effective model for boundary vortices in thin-film micromagnetics	7
From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors	7
Convergence of a particle method for a regularized spatially homogeneous Landau equation	7
Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities	7
Well-posedness of a nonlinear acoustics-structure interaction model	7
A nonlocal equation describing tumor growth	7
Consensus formation in first-order graphon models with time-varying topologies	7
Local well-posedness for the compressible Navier–Stokes–BGK model in Sobolev spaces with exponential weight	7
Towards a mathematical theory of behavioral human crowds	6
A multi-agent approach to the impact of epidemic spreading on commercial activities	6
Stochastic Stackelberg differential games modeling crowd-authority interaction dynamics	6
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs	6
Reduced energies for thin ferromagnetic films with perpendicular anisotropy	6
On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows	6
A singular infinite-dimensional Hamilton–Jacobi–Bellman equation arising from a storage problem	6
Derivation and analysis of a nonlocal Hele–Shaw–Cahn–Hilliard system for flow in thin heterogeneous layers	6
Isogeometric discretization methods in computational fluid mechanics	6
On finite element approximation of the Schrödinger–Poisson model	6
Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media	6
Global weak solutions to a Navier–Stokes–Cahn–Hilliard system with chemotaxis and mass transport: Cross diffusion versus logistic degradation	6
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	5
L1-Theory for Hele-Shaw flow with linear drift	5
A particle method for non-local advection–selection–mutation equations	5
Global small solutions to the 3D compressible viscous non-resistive MHD system	5
Stability of stationary solutions to a multidimensional parabolic–parabolic chemotaxis-consumption model	5
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems	5
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	5
Author index Volume 32	5
From kinetic flocking model of Cucker–Smale type to self-organized hydrodynamic model	5
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis	5
Boundedness in a two-dimensional doubly degenerate nutrient taxis system	5
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem	5
Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: Semi-analytical and numerical solution	4
Kinetic modeling of coupled epidemic and behavior dynamics: The social impact of public policies	4
A mathematical approach to crowd surveillance with drones	4
Global existence and stabilization of classical solutions to a Keller–Segel–(Navier–)Stokes system with tensor-valued sensitivity and prescribed signal concentration on the boundary	4
Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion	4
Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy	4
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	4
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity	4
On a two-species chemotaxis system with indirect signal production and general competition terms	4
Analysis of an alternative Navier–Stokes system: Weak entropy solutions and a convergent numerical scheme	4
An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media	4
Immersed virtual element methods for electromagnetic interface problems in three dimensions	4
Essays and reviews on New Trends in kinetic theory, active particles, and hyperbolic systems toward scientific machine learning	4
Local-length-scale calculation in T-splines meshes for complex geometries	4
Study on a growth-expansion model with chemotaxis in nutrient-replete environments	4
Non-interpenetration of rods derived by Γ-limits	4
Space-time shape optimization of rotating electric machines	4
Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions	4
Impact of a unilateral horizontal gene transfer on the evolutionary equilibria of a population	4
Congested crossing pedestrian traffic flow: Dispersion versus transport in crowded areas	4
On the compatibility of a family of generalized Keller–Segel models with the Kardar–Parisi–Zhang equation: A traveling wave study	3
How far do indirect signal production mechanisms influence regularity in the three-dimensional Keller–Segel–Navier–Stokes system?	3
Well-posedness and approximation of reflected McKean–Vlasov SDEs with applications	3
Uniformly high-order bound-preserving OEDG schemes for two-phase flows	3
Human behavioral crowds review, critical analysis and research perspectives	3
Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction	3
A multiscale stochastic criminal behavior model and the convergence to a piecewise-deterministic-Markov-process limit	3
Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection	3
Scaling limits for a population model with growth, division and cross-diffusion	3
Kinetic theory of active particles meets auction theory	3
Differential games for crowd dynamics and applications	3
Convective Turing Bifurcation	3
Author index Volume 34	3
Flow computation with the Space–Time Isogeometric Analysis and higher-order basis functions in time	3
Coupling the Navier–Stokes–Fourier equations with the Johnson–Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis	3
Optimization by linear kinetic equations and mean-field Langevin dynamics	3
Clearing-out of dipoles for minimizers of 2-dimensional discrete energies with topological singularities	3
Approximation theory, computing, and deep learning on the Wasserstein space	3
Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision	3
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers	3
Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy	2
Well-posedness and exponential decay for the Navier–Stokes equations of viscous compressible heat-conductive fluids with vacuum	2
Bound-preserving finite element approximations of the Keller–Segel equations	2
Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach	2
On the existence of strong solutions for unsteady motions of incompressible chemically reacting generalized Newtonian fluids	2
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries	2
Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space	2

Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations	2
Analysis of complex chemotaxis models	2
Global boundedness and finite time blow-up of solutions for a quasilinear chemotaxis-May–Nowak model	2
Quantitative stochastic homogenization of an unbounded front propagation problem	2
Behavioral crowds: Theory, applications and research perspectives	2
Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients	2
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains	2
An existence result for accretive growth in elastic solids	2
Fully and semi-implicit robust space–time DG methods for the incompressible Navier–Stokes equations	2
Reaction–diffusion systems derived from kinetic theory for Multiple Sclerosis	2
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	2
Behavioral swarms: A mathematical theory toward swarm intelligence	2
Weak solutions to a model for phase separation coupled with finite-strain viscoelasticity subject to external distortion	2
Global classical solutions to a triply haptotactic cross-diffusion system modeling oncolytic virotherapy	2
Step-by-step solving virtual element schemes based on scalar auxiliary variable with relaxation for Allen–Cahn-type gradient flows	2
Normalized solutions with positive energies for a coercive problem and application to the cubic–quintic nonlinear Schrödinger equation	2
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	2
The VEM for time-harmonic Maxwell equations in inhomogeneous media with Lipschitz interface	2
Boundedness and asymptotic behavior in a two-dimensional parabolic–elliptic–elliptic Keller–Segel–Navier–Stokes system with indirect signal production	2
Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications	2
Modeling and numerical simulations of multilane vehicular traffic by active particles methods	2
Coupled dynamics of endemic disease transmission and gradual awareness diffusion in multiplex networks	2
Asymptotic analysis of thin structures with point-dependent energy growth	2