Mathematical Models & Methods in Applied Sciences

Article	Citations
A duality and free boundary approach to adverse selection	64
MirrorCBO: A consensus-based optimization method in the spirit of mirror descent	40
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	40
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	39
Intrinsic unconditional stability in space–time isogeometric approximation of the acoustic wave equation in second-order formulation	35
Numerics and analysis of Cahn–Hilliard critical points	27
Shape optimization of metastable states	26
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	26
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	26
Erratum: Doubly nonlinear stochastic evolution equations	25
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	24
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	23
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model	23
A Certified Goal-Oriented A Posteriori Defeaturing Error Estimator for Elliptic PDEs	23
On the stabilization of a virtual element method for an acoustic vibration problem	23
AT1 fourth-order isogeometric phase-field modeling of brittle fracture	20
Energy-dissipation balance for a dynamic viscoelastic problem with memory in domains with growing cracks	20
Curvature in chemotaxis: A model for ant trail pattern formation	19
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	18
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	18
Derivation of a von Kármán plate theory for thermoviscoelastic solids	17
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	16
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	15
A stabilized hybridized Nitsche method for sign-changing elliptic PDEs	15
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	15

Author index Volume 35	15
Pressure-robust finite element discretizations of the nonlinear Stokes equations	15
Low-Regularity Integrator and Inviscid Limit Problem for the KdV–Burgers Equation	15
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	15
Korn–Maxwell–Sobolev inequalities for general incompatibilities	15
Local conservation laws and entropy inequality for kinetic models with delocalized collision integrals	14
Asymptotic stability of equilibrium states for cohesive fluids	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	13
Generalized Multiscale Enriched Galerkin Method for Flow in Heterogeneous Porous Media	13
Cross-diffusion models in complex frameworks from microscopic to macroscopic	12
Prediction-correction pedestrian flow by means of minimum flow problem	12
Embedding general conservation constraints in discretizations of hyperbolic systems on arbitrary meshes: A multi-dimensional framework	12
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	12
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	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	11
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	11
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	11
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	11
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	11
Multilevel domain uncertainty quantification in computational electromagnetics	11
Improvements on uncertainty quantification with variational autoencoders	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
A virtual element method on polyhedra with curved faces	11
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	10
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	10
On scattering for NLS: Rigidity properties and numerical simulations via the lens transform	10
Time fractional gradient flows: Theory and numerics	10
Entropy-based convergence rates of greedy algorithms	10
Effects of degeneracies in taxis-driven evolution	10
The particle paths of hyperbolic conservation laws	9
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	9
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	9
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	9
Identifying early tumor states in a Cahn–Hilliard-reaction–diffusion model	9
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	9
Random sampling-based gradient descent method for optimal control problems with variance reduction	9
Stability of large-amplitude viscous shock under periodic perturbation for 1-d viscoelasticity with non-convex constitutive relations	9
Multivariate Gini-type discrepancies	9
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	9
Consensus-based optimization via jump-diffusion stochastic differential equations	9
Finite element approximation of unique continuation of functions with finite dimensional trace	9
Singular patterns in Keller–Segel-type models	9
Macroscopic modeling of social crowds	9
Randomized matrix sketching for neural network training and gradient monitoring	9
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	9
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	8
Editorial: Active particle models and methods in science and society	8

Existence of multi-spikes in the Keller–Segel model with logistic growth	8
The synergy between two threats: Disinformation and COVID-19	8
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	8
An effective model for boundary vortices in thin-film micromagnetics	8
Well-posedness of a nonlinear acoustics-structure interaction model	8
A finite element framework for simulating residential burglary in realistic urban geometries	8
Conservation laws with discontinuous gradient-dependent flux: The stable case	8
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
Multiscale kinetic structures for the collective dynamics of living systems	7
Reduced energies for thin ferromagnetic films with perpendicular anisotropy	7
Stochastic Stackelberg differential games modeling crowd-authority interaction dynamics	7
A nonlocal equation describing tumor growth	7
Isogeometric discretization methods in computational fluid mechanics	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
Global weak solutions to a Navier–Stokes–Cahn–Hilliard system with chemotaxis and mass transport: Cross diffusion versus logistic degradation	7
Consensus formation in first-order graphon models with time-varying topologies	7
New trends in mathematics for scientific machine learning	7
Convergence of a particle method for a regularized spatially homogeneous Landau equation	6
A singular infinite-dimensional Hamilton–Jacobi–Bellman equation arising from a storage problem	6
On finite element approximation of the Schrödinger–Poisson model	6
A multi-agent approach to the impact of epidemic spreading on commercial activities	6
Kinetic modeling of wealth distribution with adaptive social behaviors	6
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs	6
From classical to active particles: Mathematical tools for social dynamics and behavioral economics	5
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	5
A particle method for non-local advection–selection–mutation equations	5
Deep learning accelerated algebraic multigrid methods for polytopal discretizations of second-order differential problems	5
Co-evolution of viruses and games	5
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	5
Tensor finite elements for smectic liquid crystals	5
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems	5
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis	5
Kinetic modeling of knowledge and wealth dynamics in national and global markets	5
Stability of stationary solutions to a multidimensional parabolic–parabolic chemotaxis-consumption model	5
L1-Theory for Hele-Shaw flow with linear drift	5
Study on a growth-expansion model with chemotaxis in nutrient-replete environments	4
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem	4
Congested crossing pedestrian traffic flow: Dispersion versus transport in crowded areas	4
Author index Volume 32	4
Local-length-scale calculation in T-splines meshes for complex geometries	4
Impact of a unilateral horizontal gene transfer on the evolutionary equilibria of a population	4
Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy	4
From kinetic flocking model of Cucker–Smale type to self-organized hydrodynamic model	4
Global small solutions to the 3D compressible viscous non-resistive MHD system	4
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity	4
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	4
Weak sequential stability of solutions to a nonisothermal kinetic model for incompressible dilute polymeric fluids	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
Boundedness in a two-dimensional doubly degenerate nutrient taxis system	4
Kinetic modeling of coupled epidemic and behavior dynamics: The social impact of public policies	4
Essays and reviews on new trends in kinetic theory, active particles, and hyperbolic systems toward scientific machine learning	4
Global existence and finite-time blowup in a 2D no-flux-Dirichlet Keller-Segel system with matrix-valued sensitivity	4
Non-interpenetration of rods derived by Γ-limits	4
Flow computation with the Space–Time Isogeometric Analysis and higher-order basis functions in time	4
A stabilization-free mixed virtual element approximation for unsteady non-Newtonian pseudoplastic Stokes flows	3
Clearing-out of dipoles for minimizers of 2-dimensional discrete energies with topological singularities	3
Well-posedness and approximation of reflected McKean–Vlasov SDEs with applications	3
Global well-posedness of the elastic–viscous–plastic sea-ice model with the inviscid Voigt-regularisation	3
Analysis of an alternative Navier–Stokes system: Weak entropy solutions and a convergent numerical scheme	3
Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion	3
A free boundary approach to the quasistatic evolution of debonding models	3
Human behavioral crowds review, critical analysis and research perspectives	3
Convective Turing bifurcation	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
How far do indirect signal production mechanisms influence regularity in the three-dimensional Keller–Segel–Navier–Stokes system?	3
Scaling limits for a population model with growth, division and cross-diffusion	3
A mathematical approach to crowd surveillance with drones	3
Immersed virtual element methods for electromagnetic interface problems in three dimensions	3
An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media	3
Optimization by linear kinetic equations and mean-field Langevin dynamics	3
Differential games for crowd dynamics and applications	3
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers	3
Approximation theory, computing, and deep learning on the Wasserstein space	3
Uniformly high-order bound-preserving OEDG schemes for two-phase flows	3
On the compatibility of a family of generalized Keller–Segel models with the Kardar–Parisi–Zhang equation: A traveling wave study	3
Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions	3
Space-time shape optimization of rotating electric machines	3

Small-scale turbulence limit of Fokker–Planck equation for polymers in turbulent flow	3
Mathematical modeling and analysis of a tumor invasion problem with angiogenesis and taxis cascade	3
Coupling the Navier–Stokes–Fourier equations with the Johnson–Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis	3
On uniqueness of coefficient identification in the Bloch–Torrey equation for magnetic resonance imaging	3
Behavioral crowds: Theory, applications and research perspectives	2
Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space	2
Global classical solutions to a triply haptotactic cross-diffusion system modeling oncolytic virotherapy	2
New frontiers of kinetic theory and active particle methods: Toward a mathematical theory of living systems	2
Blow-up and boundedness in a chemotaxis system with flux limitation and nonlinear diffusion	2
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries	2
Asymptotic analysis of thin structures with point-dependent energy growth	2
Global boundedness and finite time blow-up of solutions for a quasilinear chemotaxis-May–Nowak model	2
On the existence of strong solutions for unsteady motions of incompressible chemically reacting generalized Newtonian fluids	2
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains	2
Bound-preserving finite element approximations of the Keller–Segel equations	2
Global mild solution with polynomial tail for the Boltzmann equation in the whole space	2
Weak solutions to a model for phase separation coupled with finite-strain viscoelasticity subject to external distortion	2
Analysis of complex chemotaxis models	2
Stability, bifurcation and spikes of stationary solutions in a chemotaxis system with singular sensitivity and logistic source	2
Boundedness and asymptotic behavior in a two-dimensional parabolic–elliptic–elliptic Keller–Segel–Navier–Stokes system with indirect signal production	2
Well-posedness and sharp interface limit of a non-isothermal Navier–Stokes/Allen–Cahn model	2
Author index Volume 34	2
Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients	2
Behavioral swarms: A mathematical theory toward swarm intelligence	2
Modeling and numerical simulations of multilane vehicular traffic by active particles methods	2
Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations	2
Non-mean-field Vicsek-type models for collective behavior	2
Stochastic Euler schemes and dissipative evolutions in the space of probability measures	2
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn–Hilliard–Navier–Stokes system	2
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	2
Multiscale analysis of a kinetic model of confined suspensions of self-propelled rods	2
Reaction–diffusion systems derived from kinetic theory for Multiple Sclerosis	2
Quantitative stochastic homogenization of an unbounded front propagation problem	2
Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications	2
Dirichlet-boundary stabilization in space–time computational analysis: Derivation in 1D elastodynamics	2
Well-posedness and exponential decay for the Navier–Stokes equations of viscous compressible heat-conductive fluids with vacuum	2
Step-by-step solving virtual element schemes based on scalar auxiliary variable with relaxation for Allen–Cahn-type gradient flows	2
Fully and semi-implicit robust space–time DG methods for the incompressible Navier–Stokes equations	2
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	2
A model for heat generation by acoustic waves in piezoelectric materials: Global large-data solutions	2
An existence result for accretive growth in elastic solids	2
Coupled dynamics of endemic disease transmission and gradual awareness diffusion in multiplex networks	2
The VEM for time-harmonic Maxwell equations in inhomogeneous media with Lipschitz interface	2