Mathematical Models & Methods in Applied Sciences

Article	Citations
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis	83
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness	60
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system	56
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems	34
Alternative SIAR models for infectious diseases and applications in the study of non-compliance	32
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	27
Effects of degeneracies in taxis-driven evolution	27
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics	26
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	25
A multilayer network model of the coevolution of the spread of a disease and competing opinions	25
L1-Theory for Hele-Shaw flow with linear drift	23
A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	22
Well-posedness of the 3D Peskin problem	22
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains	18
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries	18
Fluid–structure interaction modeling with nonmatching interface discretizations for compressible flow problems: Computational framework and validation study	18
A kinetic description of the body size distribution of species	18
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model	17
Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks	17
Time fractional gradient flows: Theory and numerics	17
Stability for the training of deep neural networks and other classifiers	17
A particle method for non-local advection–selection–mutation equations	17
Beltrami’s completeness for ????p symmetric matrix fields	16
Viscoelastic Cahn–Hilliard models for tumor growth	16
On the optimal control of propagation fronts	16

Epidemics and society — A multiscale vision from the small world to the globally interconnected world	16
Entropy dissipation and propagation of chaos for the uniform reshuffling model	16
Model predictive control with random batch methods for a guiding problem	16
Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach	15
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	14
Asymptotic profile of a two-dimensional Chemotaxis–Navier–Stokes system with singular sensitivity and logistic source	14
A unified framework for Navier–Stokes Cahn–Hilliard models with non-matching densities	14
On the dynamic slip boundary condition for Navier–Stokes-like problems	14
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	13
Multilevel domain uncertainty quantification in computational electromagnetics	13
Taylor–Couette flow with temperature fluctuations: Time periodic solutions	13
Entropy-based convergence rates of greedy algorithms	12
Fast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutions	12
A duality and free boundary approach to adverse selection	11
Isogeometric large-eddy simulations of turbulent particle-laden flows	11
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	10
From kinetic flocking model of Cucker–Smale type to self-organized hydrodynamic model	10
Multigrid solvers for isogeometric discretizations of the second biharmonic problem	10
Global small solutions to the 3D compressible viscous non-resistive MHD system	10
Modeling self-aggregation of stochastic particles: A Γ-convergence approach	10
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem	10
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	10
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	9
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations	9
Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings	9
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	9
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	9
An existence result for accretive growth in elastic solids	9
Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications	9
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	9
Non-isothermal non-Newtonian fluids: The stationary case	9
The stationary Boussinesq problem under singular forcing	9
Linearized von Kármán theory for incompressible magnetoelastic plates	8
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
On the Stabilization of a Virtual Element Method for an Acoustic Vibration Problem	8
Generalized solutions to bounded-confidence models	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
Surveys on new trends of applied mathematics towards research perspectives within a multiscale vision	7
Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains	7
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	7
Geometric linearization of theories for incompressible elastic materials and applications	7
Modeling and numerical simulations of multilane vehicular traffic by active particles methods	7
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	7
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion	7
Kinetic and macroscopic models for active particles exploring complex environments with an internal navigation control system	7

Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations	7
Normalized solutions with positive energies for a coercive problem and application to the cubic–quintic nonlinear Schrödinger equation	7
On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model	7
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
Singular patterns in Keller–Segel-type models	6
Thermodynamically consistent modeling for complex fluids and mathematical analysis	6
Generalized solution and eventual smoothness in a logarithmic Keller–Segel system for criminal activities	6
Well-posedness of a Navier–Stokes–Cahn–Hilliard system for incompressible two-phase flows with surfactant	6
Consensus-based optimization via jump-diffusion stochastic differential equations	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
Analysis of divergence free conforming virtual elements for the Brinkman problem	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
Well-posedness and exponential decay for the Navier–Stokes equations of viscous compressible heat-conductive fluids with vacuum	5
Behavioral swarms: A mathematical theory toward swarm intelligence	5
Kinetic modeling of coupled epidemic and behavior dynamics: The social impact of public policies	5
Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity	5
Space-time shape optimization of rotating electric machines	5
Immersed virtual element methods for electromagnetic interface problems in three dimensions	5
Step-by-step solving virtual element schemes based on scalar auxiliary variable with relaxation for Allen–Cahn-type gradient flows	5
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	5
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	5
On nonlinear problems of parabolic type with implicit constitutive equations involving flux	5
Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy	5
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity	5
Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen–Cahn equation	5
Derivation of a von Kármán plate theory for thermoviscoelastic solids	5
Pedestrian models with congestion effects	5
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	5
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	5
Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method	5
A robust VEM-based approach for flow simulations in poro-fractured media	5
Local-length-scale calculation in T-splines meshes for complex geometries	5
Finite element approximation of unique continuation of functions with finite dimensional trace	5
Well-posedness of a nonlinear acoustics-structure interaction model	5
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	5
Macroscopic modeling of social crowds	5
A mean field game model of firm-level innovation	5
Parameter Robust Isogeometric Methods for a Four-Field Formulation of Biot's Consolidation Model	4
Control of COVID-19 outbreak using an extended SEIR model	4
Repulsive chemotaxis and predator evasion in predator–prey models with diffusion and prey-taxis	4
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn–Hilliard–Navier–Stokes system	4
Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods	4
Stability, bifurcation and spikes of stationary solutions in a chemotaxis system with singular sensitivity and logistic source	4
A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints	4
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy	4
The weighted Inertia-Energy-Dissipation principle	4
Quantitative stochastic homogenization of an unbounded front propagation problem	4
Higher-order diffusion and Cahn-Hilliard-type models revisited on the half-line	4
New primal and dual-mixed finite element methods for stable image registration with singular regularization	4
Analysis of an alternative Navier–Stokes system: Weak entropy solutions and a convergent numerical scheme	4
Flow computation with the Space–Time Isogeometric Analysis and higher-order basis functions in time	4
Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy	4
An abstract inf-sup problem inspired by limit analysis in perfect plasticity and related applications	4
An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media	3
Coupled dynamics of endemic disease transmission and gradual awareness diffusion in multiplex networks	3
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	3
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	3
Existence of multi-spikes in the Keller–Segel model with logistic growth	3
An Lp spaces-based mixed virtual element method for the two-dimensional Navier–Stokes equations	3
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	3
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	3
Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities	3
Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker–Planck-alignment model	3
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	3
Local existence and global boundedness for a chemotaxis system with gradient dependent flux limitation	3
Biological modeling with nonlocal advection–diffusion equations	3
Bound-preserving finite element approximations of the Keller–Segel equations	3
Final size and convergence rate for an epidemic in heterogeneous populations	3
Individual-based Markov model of virus diffusion: Comparison with COVID-19 incubation period, serial interval and regional time series	3
A kinetic modeling of crowd evacuation with several groups in complex venues	3
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth	3
Elasto-plastic evolution of single crystals driven by dislocation flow	3
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	3
Coupling compartmental models with Markov chains and measure evolution equations to capture virus mutability	3
Computational and analytical studies of a new nonlocal phase-field crystal model in two dimensions	3
Time-discrete momentum consensus-based optimization algorithm and its application to Lyapunov function approximation	3
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	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
Asymptotic analysis of thin structures with point-dependent energy growth	3
Non-interpenetration of rods derived by Γ-limits	3
Impact of a unilateral horizontal gene transfer on the evolutionary equilibria of a population	3
Hybridization of the virtual element method for linear elasticity problems	3
A mean-field approach to self-interacting networks, convergence and regularity	3
Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion	3
Consensus formation in first-order graphon models with time-varying topologies	3