Mathematical Models & Methods in Applied Sciences

Article	Citations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	107
A duality and free boundary approach to adverse selection	67
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	44
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	41
On the dynamic slip boundary condition for Navier–Stokes-like problems	41
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	33
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	30
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	25
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	24
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model	24
Thermodynamically consistent modeling for complex fluids and mathematical analysis	23
Erratum: Doubly nonlinear stochastic evolution equations	23
AT1 fourth-order isogeometric phase-field modeling of brittle fracture	22
On the stabilization of a virtual element method for an acoustic vibration problem	22
A mean-field approach to self-interacting networks, convergence and regularity	22
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	21
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	21
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	21
Curvature in chemotaxis: A model for ant trail pattern formation	21
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	20
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	20
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	19
Derivation of a von Kármán plate theory for thermoviscoelastic solids	19
Weak–strong uniqueness for energy-reaction-diffusion systems	18
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source	17

Author index Volume 31	17
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	17
Korn–Maxwell–Sobolev inequalities for general incompatibilities	17
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	15
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	15
Pressure-robust finite element discretizations of the nonlinear Stokes equations	15
On the stochastic singular Cucker–Smale model: Well-posedness, collision-avoidance and flocking	14
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	14
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	14
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics	14
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	13
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations	13
Prediction-correction pedestrian flow by means of minimum flow problem	13
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	13
Cross-diffusion models in complex frameworks from microscopic to macroscopic	13
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect	12
H(curl2)-conforming quadrilateral spectral element method for quad-curl problems	12
Interpolation and stability estimates for edge and face virtual elements of general order	12
On the mathematical theory of behavioral swarms emerging collective dynamics	12
Combining physics-based and data-driven models: advancing the frontiers of research with scientific machine learning	12
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	11
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	11
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	11
Beltrami’s completeness for ????p symmetric matrix fields	11
Effects of degeneracies in taxis-driven evolution	11
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	11
Time fractional gradient flows: Theory and numerics	11
Multilevel domain uncertainty quantification in computational electromagnetics	11
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	11
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	10
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	10
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	10
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	10
Entropy-based convergence rates of greedy algorithms	10
Singular patterns in Keller–Segel-type models	10
Macroscopic modeling of social crowds	9
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	9
Finite element approximation of unique continuation of functions with finite dimensional trace	9
The particle paths of hyperbolic conservation laws	9
Identifying early tumour states in a Cahn–Hilliard-reaction-diffusion model	9
Random sampling-based gradient descent method for optimal control problems with variance reduction	9
Multivariate Gini-type discrepancies	9
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	9
Linearized von Kármán theory for incompressible magnetoelastic plates	9
The synergy between two threats: Disinformation and COVID-19	8
Well-posedness of a nonlinear acoustics-structure interaction model	8
Consensus-based optimization via jump-diffusion stochastic differential equations	8
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	8
Existence of multi-spikes in the Keller–Segel model with logistic growth	8
Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities	8

Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	8
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	8
A nonlinear bending theory for nematic LCE plates	7
Conservation laws with discontinuous gradient-dependent flux: The stable case	7
Convergence of a particle method for a regularized spatially homogeneous Landau equation	7
Local well-posedness for the compressible Navier–Stokes–BGK model in Sobolev spaces with exponential weight	7
A nonlocal equation describing tumor growth	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
On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows	7
Editorial: Active particle models and methods in science and society	7
Consensus formation in first-order graphon models with time-varying topologies	7
Reduced energies for thin ferromagnetic films with perpendicular anisotropy	7
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs	7
Derivation and analysis of a nonlocal Hele–Shaw–Cahn–Hilliard system for flow in thin heterogeneous layers	6
Stability of stationary solutions to a multidimensional parabolic–parabolic chemotaxis-consumption model	6
On finite element approximation of the Schrödinger–Poisson model	6
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem	6
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems	6
Isogeometric discretization methods in computational fluid mechanics	6
A parabolic local problem with exponential decay of the resonance error for numerical homogenization	6
Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media	6
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	6
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis	6
Towards a mathematical theory of behavioral human crowds	6
A multi-agent approach to the impact of epidemic spreading on commercial activities	6
A singular infinite-dimensional Hamilton–Jacobi–Bellman equation arising from a storage problem	6
A particle method for non-local advection–selection–mutation equations	6
From kinetic flocking model of Cucker–Smale type to self-organized hydrodynamic model	6
L1-Theory for Hele-Shaw flow with linear drift	6
Global small solutions to the 3D compressible viscous non-resistive MHD system	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	5
On a two-species chemotaxis system with indirect signal production and general competition terms	5
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	5
An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media	5
Local-length-scale calculation in T-splines meshes for complex geometries	5
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity	5
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	5
Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy	5
Kinetic modeling of coupled epidemic and behavior dynamics: The social impact of public policies	5
Author index Volume 32	5
Study on a growth-expansion model with chemotaxis in nutrient-replete environments	5
Congested crossing pedestrian traffic flow: Dispersion versus transport in crowded areas	5
Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion	5
Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions	4
Analysis of an alternative Navier–Stokes system: Weak entropy solutions and a convergent numerical scheme	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
Immersed virtual element methods for electromagnetic interface problems in three dimensions	4
Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection	4
How far do indirect signal production mechanisms influence regularity in the three-dimensional Keller–Segel–Navier–Stokes system?	4
A multiscale stochastic criminal behavior model and the convergence to a piecewise-deterministic-Markov-process limit	4
Non-interpenetration of rods derived by Γ-limits	4
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy	4
Flow computation with the Space–Time Isogeometric Analysis and higher-order basis functions in time	4
Space-time shape optimization of rotating electric machines	4
Coupling the Navier–Stokes–Fourier equations with the Johnson–Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis	4
Well-posedness and approximation of reflected McKean–Vlasov SDEs with applications	4
On the compatibility of a family of generalized Keller–Segel models with the Kardar–Parisi–Zhang equation: A traveling wave study	4
A mathematical approach to crowd surveillance with drones	4
A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints	4
Impact of a unilateral horizontal gene transfer on the evolutionary equilibria of a population	4
Scaling limits for a population model with growth, division and cross-diffusion	4
Optimization by linear kinetic equations and mean-field Langevin dynamics	4
Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction	4
Uniformly high-order bound-preserving OEDG schemes for two-phase flows	3
Differential games for crowd dynamics and applications	3
Analysis of complex chemotaxis models	3
Boundedness and asymptotic behavior in a two-dimensional parabolic–elliptic–elliptic Keller–Segel–Navier–Stokes system with indirect signal production	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
Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications	3
Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space	3
Fully and semi-implicit robust space–time DG methods for the incompressible Navier–Stokes equations	3
Approximation theory, computing, and deep learning on the Wasserstein space	3
Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary	3
Kinetic theory of active particles meets auction theory	3
Author index Volume 34	3
Reaction–diffusion systems derived from kinetic theory for Multiple Sclerosis	3
Human behavioral crowds review, critical analysis and research perspectives	3
Clearing-out of dipoles for minimizers of 2-dimensional discrete energies with topological singularities	3

Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach	2
Normalized solutions with positive energies for a coercive problem and application to the cubic–quintic nonlinear Schrödinger equation	2
Quantitative stochastic homogenization of an unbounded front propagation problem	2
Weak solutions to a model for phase separation coupled with finite-strain viscoelasticity subject to external distortion	2
Global boundedness and finite time blow-up of solutions for a quasilinear chemotaxis-May–Nowak model	2
On the exponential weak flocking for the kinetic Cucker–Smale model with non-compact support	2
Step-by-step solving virtual element schemes based on scalar auxiliary variable with relaxation for Allen–Cahn-type gradient flows	2
Behavioral crowds: Theory, applications and research perspectives	2
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains	2
Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy	2
The VEM for time-harmonic Maxwell equations in inhomogeneous media with Lipschitz interface	2
Well-posedness and exponential decay for the Navier–Stokes equations of viscous compressible heat-conductive fluids with vacuum	2
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries	2
Non-mean-field Vicsek-type models for collective behavior	2
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn–Hilliard–Navier–Stokes system	2
Behavioral swarms: A mathematical theory toward swarm intelligence	2
Bound-preserving finite element approximations of the Keller–Segel equations	2
Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations	2
Asymptotic analysis of thin structures with point-dependent energy growth	2
An existence result for accretive growth in elastic solids	2
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	2
Stability, bifurcation and spikes of stationary solutions in a chemotaxis system with singular sensitivity and logistic source	2
Constrained overdamped Langevin dynamics for symmetric multimarginal optimal transportation	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
Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients	2
A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions	2
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	2
Global classical solutions to a triply haptotactic cross-diffusion system modeling oncolytic virotherapy	2