Mathematical Models & Methods in Applied Sciences

Article	Citations
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness	98
A duality and free boundary approach to adverse selection	73
On the dynamic slip boundary condition for Navier–Stokes-like problems	65
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	41
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	40
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	40
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	30
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	30
Thermodynamically consistent modeling for complex fluids and mathematical analysis	29
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	29
Erratum: Doubly nonlinear stochastic evolution equations	25
On the stabilization of a virtual element method for an acoustic vibration problem	24
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption	22
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	21
A mean-field approach to self-interacting networks, convergence and regularity	21
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	21
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth	21
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	21
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	21
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	20
Derivation of a von Kármán plate theory for thermoviscoelastic solids	20
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	19
Weak–strong uniqueness for energy-reaction-diffusion systems	19
Collective dynamics in science and society	19
Author index Volume 31	18

Boundary layer mesh resolution in flow computation with the Space–Time Variational Multiscale method and isogeometric discretization	17
Boundedness and asymptotic stabilization in a two-dimensional Keller–Segel–Navier–Stokes system with sub-logistic source	17
Korn–Maxwell–Sobolev inequalities for general incompatibilities	17
Traveling waves for a Fisher-type reaction–diffusion equation with a flux in divergence form	16
Atomistic-to-continuum convergence for quasi-static crack growth in brittle materials	16
Tangential Navier–Stokes equations on evolving surfaces: Analysis and simulations	16
H(curl2)-conforming quadrilateral spectral element method for quad-curl problems	16
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation	15
A fast cardiac electromechanics model coupling the Eikonal and the nonlinear mechanics equations	14
Compressible Euler–Maxwell limit for global smooth solutions to the Vlasov–Maxwell–Boltzmann system	14
On the stochastic singular Cucker–Smale model: Well-posedness, collision-avoidance and flocking	14
Newtonian repulsion and radial confinement: Convergence toward steady state	14
A discrete Weber inequality on three-dimensional hybrid spaces with application to the HHO approximation of magnetostatics	13
Nonlinear partial differential equations in neuroscience: From modeling to mathematical theory	13
Cross-diffusion models in complex frameworks from microscopic to macroscopic	13
Prediction-correction pedestrian flow by means of minimum flow problem	13
On the mathematical theory of behavioral swarms emerging collective dynamics	12
What is life? A perspective of the mathematical kinetic theory of active particles	12
Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect	12
Combining physics-based and data-driven models: advancing the frontiers of research with scientific machine learning	12
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	11
Multilevel domain uncertainty quantification in computational electromagnetics	11
Beltrami’s completeness for ????p symmetric matrix fields	11
Effects of degeneracies in taxis-driven evolution	11
Model predictive control with random batch methods for a guiding problem	11
Time fractional gradient flows: Theory and numerics	11
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	11
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model	11
Interpolation and stability estimates for edge and face virtual elements of general order	11
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	11
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	10
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	10
Entropy-based convergence rates of greedy algorithms	10
Error analysis of the Monte Carlo method for compressible magnetohydrodynamics	10
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	9
On nonlinear problems of parabolic type with implicit constitutive equations involving flux	9
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	9
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	9
Multivariate Gini-type discrepancies	9
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	9
Linearized von Kármán theory for incompressible magnetoelastic plates	9
Singular patterns in Keller–Segel-type models	9
The particle paths of hyperbolic conservation laws	9
High-order compact splitting spectral methods for the rotating spin-1 Bose–Einstein condensates in a magnetic field	8
Finite element approximation of unique continuation of functions with finite dimensional trace	8
Existence of multi-spikes in the Keller–Segel model with logistic growth	8
Consensus-based optimization via jump-diffusion stochastic differential equations	8
Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities	8
Macroscopic modeling of social crowds	8
The synergy between two threats: Disinformation and COVID-19	8

A nonlinear bending theory for nematic LCE plates	7
From Herbert A. Simon’s legacy to the evolutionary artificial world with heterogeneous collective behaviors	7
An effective model for boundary vortices in thin-film micromagnetics	7
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	7
From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit	7
Local well-posedness for the compressible Navier–Stokes–BGK model in Sobolev spaces with exponential weight	7
Derivation and analysis of a nonlocal Hele–Shaw–Cahn–Hilliard system for flow in thin heterogeneous layers	7
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	7
A nonlocal equation describing tumor growth	7
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	7
Conservation laws with discontinuous gradient-dependent flux: The stable case	7
Consensus formation in first-order graphon models with time-varying topologies	7
Well-posedness of a nonlinear acoustics-structure interaction model	7
Editorial: Active particle models and methods in science and society	7
Convergence of a particle method for a regularized spatially homogeneous Landau equation	6
On fully decoupled MSAV schemes for the Cahn–Hilliard–Navier–Stokes model of two-phase incompressible flows	6
A multi-agent approach to the impact of epidemic spreading on commercial activities	6
A parabolic local problem with exponential decay of the resonance error for numerical homogenization	6
A particle method for non-local advection–selection–mutation equations	6
The Gevrey class implicit mapping theorem with application to UQ of semilinear elliptic PDEs	6
Isogeometric discretization methods in computational fluid mechanics	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
Reduced energies for thin ferromagnetic films with perpendicular anisotropy	6
Towards a mathematical theory of behavioral human crowds	6
A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems	6
Virtual element method for the Helmholtz transmission eigenvalue problem of anisotropic media	6
A singular infinite-dimensional Hamilton–Jacobi–Bellman equation arising from a storage problem	6
Kinetic modeling of coupled epidemic and behavior dynamics: The social impact of public policies	5
Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions	5
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	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
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	5
From kinetic flocking model of Cucker–Smale type to self-organized hydrodynamic model	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
On a two-species chemotaxis system with indirect signal production and general competition terms	5
L1-Theory for Hele-Shaw flow with linear drift	5
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	5
Local-length-scale calculation in T-splines meshes for complex geometries	5
Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy	5
Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion	5
An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media	5
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity	5
Global small solutions to the 3D compressible viscous non-resistive MHD system	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
Flow computation with the Space–Time Isogeometric Analysis and higher-order basis functions in time	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
Impact of a unilateral horizontal gene transfer on the evolutionary equilibria of a population	4
A mathematical approach to crowd surveillance with drones	4
Optimization by linear kinetic equations and mean-field Langevin dynamics	4
Well-posedness and approximation of reflected McKean–Vlasov SDEs with applications	4
Space-time shape optimization of rotating electric machines	4
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy	4
Analysis of an alternative Navier–Stokes system: Weak entropy solutions and a convergent numerical scheme	4
Energy minimizing twinning with variable volume fraction, for two nonlinear elastic phases with a single rank-one connection	4
On the compatibility of a family of generalized Keller–Segel models with the Kardar–Parisi–Zhang equation: A traveling wave study	4
Micromagnetics of thin films in the presence of Dzyaloshinskii–Moriya interaction	4
Non-interpenetration of rods derived by Γ-limits	4
A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints	4
Immersed virtual element methods for electromagnetic interface problems in three dimensions	4
Coupling the Navier–Stokes–Fourier equations with the Johnson–Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis	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
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
Differential games for crowd dynamics and applications	3
Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the boundary	3
Analysis of complex chemotaxis models	3
An existence result for accretive growth in elastic solids	3
Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach	3
Reaction–diffusion systems derived from kinetic theory for Multiple Sclerosis	3
Clearing-out of dipoles for minimizers of 2-dimensional discrete energies with topological singularities	3
Uniformly high-order bound-preserving OEDG schemes for two-phase flows	3
Author index Volume 34	3
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries	3
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	3

Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system	3
Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications	3
Human behavioral crowds review, critical analysis and research perspectives	3
Kinetic theory of active particles meets auction theory	3
Approximation theory, computing, and deep learning on the Wasserstein space	3
Small-signal solutions to a nonlocal cross-diffusion model for interaction of scroungers with rapidly diffusing foragers	3
Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space	3
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	3