Mathematical Models & Methods in Applied Sciences

Article	Citations
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis	88
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness	70
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system	59
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems	39
Alternative SIAR models for infectious diseases and applications in the study of non-compliance	38
Data-driven learning to enhance a kinetic model of distressed crowd dynamics	31
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	29
Conservation Laws with Discontinuous Gradient-Dependent Flux:the Stable Case	29
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics	29
Effects of degeneracies in taxis-driven evolution	27
Entropy dissipation and propagation of chaos for the uniform reshuffling model	25
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	24
L1-Theory for Hele-Shaw flow with linear drift	23
Well-posedness of the 3D Peskin problem	23
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains	21
Fluid–structure interaction modeling with nonmatching interface discretizations for compressible flow problems: Computational framework and validation study	21
A kinetic description of the body size distribution of species	21
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries	20
Stability for the training of deep neural networks and other classifiers	19
A particle method for non-local advection–selection–mutation equations	18
Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks	18
Beltrami’s completeness for ????p symmetric matrix fields	17
On the optimal control of propagation fronts	17
Model predictive control with random batch methods for a guiding problem	17
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	17

Time fractional gradient flows: Theory and numerics	17
Multilevel domain uncertainty quantification in computational electromagnetics	16
Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach	16
On the dynamic slip boundary condition for Navier–Stokes-like problems	16
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	15
Multigrid solvers for isogeometric discretizations of the second biharmonic problem	14
Entropy-based convergence rates of greedy algorithms	14
Isogeometric large-eddy simulations of turbulent particle-laden flows	14
Fast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutions	14
A duality and free boundary approach to adverse selection	14
Taylor–Couette flow with temperature fluctuations: Time periodic solutions	14
Global small solutions to the 3D compressible viscous non-resistive MHD system	13
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem	13
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	12
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	12
From kinetic flocking model of Cucker–Smale type to self-organized hydrodynamic model	12
Modeling self-aggregation of stochastic particles: A Γ-convergence approach	12
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations	11
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	11
Non-isothermal non-Newtonian fluids: The stationary case	10
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model	10
An existence result for accretive growth in elastic solids	10
A unified framework for Navier–Stokes Cahn–Hilliard models with non-matching densities	10
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	10
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	10
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	10
Viscoelastic Cahn–Hilliard models for tumor growth	9
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	9
Surveys on new trends of applied mathematics towards research perspectives within a multiscale vision	9
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	9
Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings	9
Congested Crossing Pedestrian Traffic Flow : Dispersion vs. Transport in Crowded Areas	9
Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications	9
A multilayer network model of the coevolution of the spread of a disease and competing opinions	9
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	9
The stationary Boussinesq problem under singular forcing	9
Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients	8
The particle paths of hyperbolic conservation laws	8
Erratum: Doubly nonlinear stochastic evolution equations	8
Study on a growth-expansion model with chemotaxis in nutrient-replete environments	8
Author index Volume 32	8
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	8
Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity	7
Generalized solutions to bounded-confidence models	7
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	7
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	7
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	7
Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations	7
On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model	7
On the stabilization of a virtual element method for an acoustic vibration problem	7

Kinetic and macroscopic models for active particles exploring complex environments with an internal navigation control system	7
Modeling and numerical simulations of multilane vehicular traffic by active particles methods	7
Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains	7
Thermodynamically consistent modeling for complex fluids and mathematical analysis	7
On nonlinear problems of parabolic type with implicit constitutive equations involving flux	6
Analysis of divergence free conforming virtual elements for the Brinkman problem	6
Well-posedness of a Navier–Stokes–Cahn–Hilliard system for incompressible two-phase flows with surfactant	6
Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: Semi-analytical and numerical solution	6
Generalized solution and eventual smoothness in a logarithmic Keller–Segel system for criminal activities	6
Behavioral swarms: A mathematical theory toward swarm intelligence	6
A robust VEM-based approach for flow simulations in poro-fractured media	6
On the formulation of size-structured consumer resource models (with special attention for the principle of linearized stability)	6
A diffuse-domain-based numerical method for a chemotaxis-fluid model	6
Singular patterns in Keller–Segel-type models	6
Kinetic modeling of coupled epidemic and behavior dynamics: The social impact of public policies	6
On a two-species chemotaxis system with indirect signal production and general competition terms	6
Kinetic modeling of a leader–follower system in crowd evacuation with collective learning	6
Finite element approximation of unique continuation of functions with finite dimensional trace	5
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity	5
A mean field game model of firm-level innovation	5
Macroscopic modeling of social crowds	5
Normalized solutions with positive energies for a coercive problem and application to the cubic–quintic nonlinear Schrödinger equation	5
New primal and dual-mixed finite element methods for stable image registration with singular regularization	5
Derivation of a von Kármán plate theory for thermoviscoelastic solids	5
Pedestrian models with congestion effects	5
Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity	5
Local-length-scale calculation in T-splines meshes for complex geometries	5
Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method	5
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	5
Immersed virtual element methods for electromagnetic interface problems in three dimensions	5
Stability, bifurcation and spikes of stationary solutions in a chemotaxis system with singular sensitivity and logistic source	5
Well-posedness of a nonlinear acoustics-structure interaction model	5
Linearized von Kármán theory for incompressible magnetoelastic plates	5
Step-by-step solving virtual element schemes based on scalar auxiliary variable with relaxation for Allen–Cahn-type gradient flows	5
Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen–Cahn equation	5
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	5
Well-posedness and exponential decay for the Navier–Stokes equations of viscous compressible heat-conductive fluids with vacuum	5
Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy	5
Consensus-based optimization via jump-diffusion stochastic differential equations	5
Space-time shape optimization of rotating electric machines	5
Parameter robust isogeometric methods for a four-field formulation of Biot’s consolidation model	5
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	5
Non-interpenetration of rods derived by Γ-limits	4
An abstract inf-sup problem inspired by limit analysis in perfect plasticity and related applications	4
Quantitative stochastic homogenization of an unbounded front propagation problem	4
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	4
Impact of a unilateral horizontal gene transfer on the evolutionary equilibria of a population	4
Asymptotic analysis of thin structures with point-dependent energy growth	4
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	4
A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints	4
Flow computation with the Space–Time Isogeometric Analysis and higher-order basis functions in time	4
A mean-field approach to self-interacting networks, convergence and regularity	4
Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy	4
An Lp spaces-based mixed virtual element method for the two-dimensional Navier–Stokes equations	4
Hybridization of the virtual element method for linear elasticity problems	4
Analysis of an alternative Navier–Stokes system: Weak entropy solutions and a convergent numerical scheme	4
Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods	4
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	4
Coupling compartmental models with Markov chains and measure evolution equations to capture virus mutability	4
Existence of multi-spikes in the Keller–Segel model with logistic growth	4
A kinetic modeling of crowd evacuation with several groups in complex venues	3
Local existence and global boundedness for a chemotaxis system with gradient dependent flux limitation	3
Repulsive chemotaxis and predator evasion in predator–prey models with diffusion and prey-taxis	3
Elasto-plastic evolution of single crystals driven by dislocation flow	3
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	3
A mathematical approach to crowd surveillance with drones	3
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	3
Bound-preserving finite element approximations of the Keller–Segel equations	3
Computational and analytical studies of a new nonlocal phase-field crystal model in two dimensions	3
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	3
Higher-order diffusion and Cahn–Hilliard-type models revisited on the half-line	3
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy	3
Control of COVID-19 outbreak using an extended SEIR model	3
Biological modeling with nonlocal advection–diffusion equations	3
Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions	3
The synergy between two threats: Disinformation and COVID-19	3
Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion	3
Individual-based Markov model of virus diffusion: Comparison with COVID-19 incubation period, serial interval and regional time series	3
Time-discrete momentum consensus-based optimization algorithm and its application to Lyapunov function approximation	3
Final size and convergence rate for an epidemic in heterogeneous populations	3

An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media	3
The weighted Inertia-Energy-Dissipation principle	3
Coupled dynamics of endemic disease transmission and gradual awareness diffusion in multiplex networks	3
Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker–Planck-alignment model	3
Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities	3