Mathematical Models & Methods in Applied Sciences

Article	Citations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	62
Numerics and analysis of Cahn–Hilliard critical points	37
MirrorCBO: A consensus-based optimization method in the spirit of mirror descent	33
A duality and free boundary approach to adverse selection	33
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	29
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	26
Intrinsic unconditional stability in space–time isogeometric approximation of the acoustic wave equation in second-order formulation	24
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
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	23
Erratum: Doubly nonlinear stochastic evolution equations	23
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model	22
AT1 fourth-order isogeometric phase-field modeling of brittle fracture	22
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	22
Curvature in chemotaxis: A model for ant trail pattern formation	21
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	20
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	19
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	19
Derivation of a von Kármán plate theory for thermoviscoelastic solids	19
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	19
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	17
Energy-Dissipation Balance for a Dynamic Viscoelastic Problem with Memory in Domains with Growing Cracks	17
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	17
Korn–Maxwell–Sobolev inequalities for general incompatibilities	15
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	15

A stabilized hybridized Nitsche method for sign-changing elliptic PDEs	15
Author index Volume 35	15
Pressure-robust finite element discretizations of the nonlinear Stokes equations	15
Local conservation laws and entropy inequality for kinetic models with delocalized collision integrals	14
Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	14
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source	14
Embedding general conservation constraints in discretizations of hyperbolic systems on arbitrary meshes: A multi-dimensional framework	13
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	13
Prediction-correction pedestrian flow by means of minimum flow problem	13
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	13
Cross-diffusion models in complex frameworks from microscopic to macroscopic	12
Combining physics-based and data-driven models: advancing the frontiers of research with scientific machine learning	12
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	12
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations	12
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect	12
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	12
On the mathematical theory of behavioral swarms emerging collective dynamics	12
Multilevel domain uncertainty quantification in computational electromagnetics	11
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	11
Interpolation and stability estimates for edge and face virtual elements of general order	11
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	11
Beltrami’s completeness for ????p symmetric matrix fields	11
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	11
Improvements on uncertainty quantification with variational autoencoders	10
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	10
A virtual element method on polyhedra with curved faces	10
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	10
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	10
On scattering for NLS: rigidity properties and numerical simulations via the lens transform	10
Effects of degeneracies in taxis-driven evolution	10
Entropy-based convergence rates of greedy algorithms	10
Time fractional gradient flows: Theory and numerics	10
The particle paths of hyperbolic conservation laws	9
Consensus-based optimization via jump-diffusion stochastic differential equations	9
Identifying early tumor states in a Cahn–Hilliard-reaction–diffusion model	9
Randomized matrix sketching for neural network training and gradient monitoring	8
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	8
Random sampling-based gradient descent method for optimal control problems with variance reduction	8
Macroscopic modeling of social crowds	8
Existence of multi-spikes in the Keller–Segel model with logistic growth	8
Well-posedness of a nonlinear acoustics-structure interaction model	8
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	8
Finite element approximation of unique continuation of functions with finite dimensional trace	8
Multivariate Gini-type discrepancies	8
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	8
A finite element framework for simulating residential burglary in realistic urban geometries	8
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	8
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	8
Singular patterns in Keller–Segel-type models	8
The synergy between two threats: Disinformation and COVID-19	8

Moment methods for kinetic traffic flow and a class of macroscopic traffic models	8
Editorial: Active particle models and methods in science and society	7
Conservation laws with discontinuous gradient-dependent flux: The stable case	7
From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors	7
Derivation and analysis of a nonlocal Hele–Shaw–Cahn–Hilliard system for flow in thin heterogeneous layers	7
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	7
A nonlocal equation describing tumor growth	7
Consensus formation in first-order graphon models with time-varying topologies	7
A nonlinear bending theory for nematic LCE plates	7
Local well-posedness for the compressible Navier–Stokes–BGK model in Sobolev spaces with exponential weight	7
An effective model for boundary vortices in thin-film micromagnetics	7
Reduced energies for thin ferromagnetic films with perpendicular anisotropy	7
Isogeometric discretization methods in computational fluid mechanics	7
Stochastic Stackelberg differential games modeling crowd-authority interaction dynamics	6
On finite element approximation of the Schrödinger–Poisson model	6
A singular infinite-dimensional Hamilton–Jacobi–Bellman equation arising from a storage problem	6
L1-Theory for Hele-Shaw flow with linear drift	6
Convergence of a particle method for a regularized spatially homogeneous Landau equation	6
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs	6
A multi-agent approach to the impact of epidemic spreading on commercial activities	6
From kinetic flocking model of Cucker–Smale type to self-organized hydrodynamic 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
New trends in mathematics for scientific machine learning	6
Stability of stationary solutions to a multidimensional parabolic–parabolic chemotaxis-consumption model	6
A particle method for non-local advection–selection–mutation equations	6
Kinetic modeling of knowledge and wealth dynamics in national and global markets	5
Boundedness in a two-dimensional doubly degenerate nutrient taxis system	5
Congested crossing pedestrian traffic flow: Dispersion versus transport in crowded areas	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
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	5
Global small solutions to the 3D compressible viscous non-resistive MHD system	5
Co-evolution of viruses and games	5
Author index Volume 32	5
On a two-species chemotaxis system with indirect signal production and general competition terms	5
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	5
From classical to active particles: Mathematical tools for social dynamics and behavioral economics	5
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis	5
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	5
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity	5
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems	5
Deep learning accelerated algebraic multigrid methods for polytopal discretizations of second-order differential problems	5
Essays and reviews on new trends in kinetic theory, active particles, and hyperbolic systems toward scientific machine learning	4
Kinetic modeling of coupled epidemic and behavior dynamics: The social impact of public policies	4
Non-interpenetration of rods derived by Γ-limits	4
Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion	4
Global well-posedness of the elastic-viscous-plastic sea-ice model with the inviscid Voigt-regularisation	4
Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy	4
Weak sequential stability of solutions to a nonisothermal kinetic model for incompressible dilute polymeric fluids	4
A mathematical approach to crowd surveillance with drones	4
An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media	4
Impact of a unilateral horizontal gene transfer on the evolutionary equilibria of a population	4
Study on a growth-expansion model with chemotaxis in nutrient-replete environments	4
Local-length-scale calculation in T-splines meshes for complex geometries	4
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
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
Flow computation with the Space–Time Isogeometric Analysis and higher-order basis functions in time	4
Approximation theory, computing, and deep learning on the Wasserstein space	3
Mathematical modeling and analysis of a tumor invasion problem with angiogenesis and taxis cascade	3
Uniformly high-order bound-preserving OEDG schemes for two-phase flows	3
Convective Turing bifurcation	3
Small-scale turbulence limit of Fokker-Planck equation for polymers in turbulent flow	3
Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection	3
Immersed virtual element methods for electromagnetic interface problems in three dimensions	3
Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions	3
Well-posedness and approximation of reflected McKean–Vlasov SDEs with applications	3
Kinetic theory of active particles meets auction theory	3
Optimal control in infinite-dimensional spaces and economic modeling: State of the art and perspectives	3
Clearing-out of dipoles for minimizers of 2-dimensional discrete energies with topological singularities	3
Scaling limits for a population model with growth, division and cross-diffusion	3
On the compatibility of a family of generalized Keller–Segel models with the Kardar–Parisi–Zhang equation: A traveling wave study	3
Space-time shape optimization of rotating electric machines	3
How far do indirect signal production mechanisms influence regularity in the three-dimensional Keller–Segel–Navier–Stokes system?	3
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers	3
Human behavioral crowds review, critical analysis and research perspectives	3
Differential games for crowd dynamics and applications	3
Coupling the Navier–Stokes–Fourier equations with the Johnson–Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis	3
Analysis of an alternative Navier–Stokes system: Weak entropy solutions and a convergent numerical scheme	3
Optimization by linear kinetic equations and mean-field Langevin dynamics	3
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	2

Blow-up and boundedness in a chemotaxis system with flux limitation and nonlinear diffusion	2
Bound-preserving finite element approximations of the Keller–Segel equations	2
A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions	2
Multiscale analysis of a kinetic model of confined suspensions of self-propelled rods	2
Global classical solutions to a triply haptotactic cross-diffusion system modeling oncolytic virotherapy	2
Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations	2
Modeling and numerical simulations of multilane vehicular traffic by active particles methods	2
An existence result for accretive growth in elastic solids	2
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries	2
New frontiers of kinetic theory and active particle methods: Toward a mathematical theory of living systems	2
Fully and semi-implicit robust space–time DG methods for the incompressible Navier–Stokes equations	2
Well-posedness and exponential decay for the Navier–Stokes equations of viscous compressible heat-conductive fluids with vacuum	2
Stability, bifurcation and spikes of stationary solutions in a chemotaxis system with singular sensitivity and logistic source	2
Step-by-step solving virtual element schemes based on scalar auxiliary variable with relaxation for Allen–Cahn-type gradient flows	2
Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy	2
Weak solutions to a model for phase separation coupled with finite-strain viscoelasticity subject to external distortion	2
Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients	2
Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach	2
Global boundedness and finite time blow-up of solutions for a quasilinear chemotaxis-May–Nowak model	2
The VEM for time-harmonic Maxwell equations in inhomogeneous media with Lipschitz interface	2
Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications	2
Reaction–diffusion systems derived from kinetic theory for Multiple Sclerosis	2
Author index Volume 34	2
Normalized solutions with positive energies for a coercive problem and application to the cubic–quintic nonlinear Schrödinger equation	2
Boundedness and asymptotic behavior in a two-dimensional parabolic–elliptic–elliptic Keller–Segel–Navier–Stokes system with indirect signal production	2
Asymptotic analysis of thin structures with point-dependent energy growth	2
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn–Hilliard–Navier–Stokes system	2
Behavioral crowds: Theory, applications and research perspectives	2
Quantitative stochastic homogenization of an unbounded front propagation problem	2
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	2
Behavioral swarms: A mathematical theory toward swarm intelligence	2
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains	2
Coupled dynamics of endemic disease transmission and gradual awareness diffusion in multiplex networks	2
On the existence of strong solutions for unsteady motions of incompressible chemically reacting generalized Newtonian fluids	2
Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space	2
Analysis of complex chemotaxis models	2