Mathematical Models & Methods in Applied Sciences

Article	Citations
Inexpensive polynomial-degree-robust equilibrated flux a posteriori estimates for isogeometric analysis	69
Multigrid solvers for isogeometric discretizations of the second biharmonic problem	60
Isogeometric large-eddy simulations of turbulent particle-laden flows	51
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness	34
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system	32
Conforming VEM for general second-order elliptic problems with rough data on polygonal meshes and its application to a Poisson inverse source problem	27
Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems	26
Vanishing viscosity limit to rarefaction wave with vacuum for an ionized plasma	25
Alternative SIAR models for infectious diseases and applications in the study of non-compliance	25
Effects of degeneracies in taxis-driven evolution	24
Analysis of a spatio-temporal advection-diffusion model for human behaviors during a catastrophic event	23
Simulating air blast on concrete structures using the volumetric penalty coupling of isogeometric analysis and peridynamics	22
A multilayer network model of the coevolution of the spread of a disease and competing opinions	19
L1-Theory for Hele-Shaw flow with linear drift	18
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production	18
Entropy-based convergence rates of greedy algorithms	18
Fluid–structure interaction modeling with nonmatching interface discretizations for compressible flow problems: Computational framework and validation study	17
Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks	17
Fast Diffusion leads to partial mass concentration in Keller–Segel type stationary solutions	17
A kinetic description of the body size distribution of species	16
Viscoelastic Cahn–Hilliard models for tumor growth	16
Time fractional gradient flows: Theory and numerics	16
Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains	16
Model predictive control with random batch methods for a guiding problem	16
A particle method for non-local advection–selection–mutation equations	16

A multiscale network-based model of contagion dynamics: Heterogeneity, spatial distancing and vaccination	16
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model	16
Stability for the training of deep neural networks and other classifiers	15
Sharp interface limit of the Cahn–Hilliard reaction model for lithium-ion batteries	15
On the optimal control of propagation fronts	14
Beltrami’s completeness for ????p symmetric matrix fields	14
Multilevel domain uncertainty quantification in computational electromagnetics	14
Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number	14
Epidemics and society — A multiscale vision from the small world to the globally interconnected world	14
Modeling self-aggregation of stochastic particles: A Γ-convergence approach	13
Global small solutions to the 3D compressible viscous non-resistive MHD system	12
On the dynamic slip boundary condition for Navier–Stokes-like problems	12
Entropy dissipation and propagation of chaos for the uniform reshuffling model	12
Quantitative observability for the Schrödinger and Heisenberg equations: An optimal transport approach	11
From kinetic flocking model of Cucker–Smale type to self-organized hydrodynamic model	10
Existence results for the time-incremental elastic contact problem with Coulomb friction in 2D	10
Asymptotic profile of a two-dimensional Chemotaxis–Navier–Stokes system with singular sensitivity and logistic source	10
Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids	10
An existence result for accretive growth in elastic solids	9
A unified framework for Navier–Stokes Cahn–Hilliard models with non-matching densities	9
Statistical solutions of the incompressible Euler equations	9
Taylor–Couette flow with temperature fluctuations: Time periodic solutions	9
A duality and free boundary approach to adverse selection	9
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy	9
A cross-diffusion system modeling rivaling gangs: Global existence of bounded solutions and FCT stabilization for numerical simulation	9
Well-posedness of the 3D Peskin problem	9
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations	9
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications	9
Non-isothermal non-Newtonian fluids: The stationary case	9
Critical mass for Keller–Segel systems with supercritical nonlinear sensitivity	9
Exponential convergence to steady-states for trajectories of a damped dynamical system modeling adhesive strings	8
Analysis of fully discrete, quasi non-conforming approximations of evolution equations and applications	8
The particle paths of hyperbolic conservation laws	8
A mean field game model of firm-level innovation	8
Local-length-scale calculation in T-splines meshes for complex geometries	8
Study on a growth-expansion model with chemotaxis in nutrient-replete environments	8
On nonlinear problems of parabolic type with implicit constitutive equations involving flux	8
Modeling and numerical simulations of multilane vehicular traffic by active particles methods	8
On the dynamics and optimal control of a mathematical model of neuroblastoma and its treatment: Insights from a mathematical model	8
Kinetic modeling of a leader–follower system in crowd evacuation with collective learning	8
Generalized solution and eventual smoothness in a logarithmic Keller–Segel system for criminal activities	7
Erratum: Doubly nonlinear stochastic evolution equations	7
Development of boundary layers in Euler fluids that on “activation” respond like Navier–Stokes fluids	7
Combined dynamics of magnetization and particle rotation of a suspended superparamagnetic particle in the presence of an orienting field: Semi-analytical and numerical solution	7
Author index Volume 32	7
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective	7
Linearized von Kármán theory for incompressible magnetoelastic plates	7
A robust VEM-based approach for flow simulations in poro-fractured media	7
A diffuse-domain-based numerical method for a chemotaxis-fluid model	7
Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity	7

Thermodynamically consistent modeling for complex fluids and mathematical analysis	7
Kinetic and macroscopic models for active particles exploring complex environments with an internal navigation control system	6
Variational multiscale method stabilization parameter calculated from the strain-rate tensor	6
Darcy’s law as low Mach and homogenization limit of a compressible fluid in perforated domains	6
Error estimates with low-order polynomial dependence for the fully-discrete finite element invariant energy quadratization scheme of the Allen–Cahn equation	6
Dual natural-norm a posteriori error estimators for reduced basis approximations to parametrized linear equations	6
Normalized solutions with positive energies for a coercive problem and application to the cubic–quintic nonlinear Schrödinger equation	6
Generalized solutions to bounded-confidence models	6
Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method	6
Geometric linearization of theories for incompressible elastic materials and applications	6
Singular patterns in Keller–Segel-type models	6
Kinetic modeling of coupled epidemic and behavior dynamics: The social impact of public policies	5
Conforming virtual element method for nondivergence form linear elliptic equations with Cordes coefficients	5
Complex pattern formation governed by a Cahn–Hilliard–Swift–Hohenberg system: Analysis and numerical simulations	5
On the formulation of size-structured consumer resource models (with special attention for the principle of linearized stability)	5
Finite element approximation of unique continuation of functions with finite dimensional trace	5
Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker–Planck-alignment model	5
On a two-species chemotaxis system with indirect signal production and general competition terms	5
Behavioral swarms: A mathematical theory toward swarm intelligence	5
Well-posedness and exponential decay for the Navier–Stokes equations of viscous compressible heat-conductive fluids with vacuum	5
Consensus-based optimization via jump-diffusion stochastic differential equations	5
Macroscopic modeling of social crowds	5
The stationary Boussinesq problem under singular forcing	5
Well-posedness of a Navier–Stokes–Cahn–Hilliard system for incompressible two-phase flows with surfactant	5
Asymptotic behavior of a three-dimensional haptotactic cross-diffusion system modeling oncolytic virotherapy	5
Analysis of divergence free conforming virtual elements for the Brinkman problem	5
On the Stabilization of a Virtual Element Method for an Acoustic Vibration Problem	5
Step-by-step solving virtual element schemes based on scalar auxiliary variable with relaxation for Allen–Cahn-type gradient flows	5
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems	5
Spectral analysis of dispersive shocks for quantum hydrodynamics with nonlinear viscosity	5
On effects of the nonlinear signal production to the boundedness and finite-time blow-up in a flux-limited chemotaxis model	5
The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem	5
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations	4
Pedestrian models with congestion effects	4
Local existence and global boundedness for a chemotaxis system with gradient dependent flux limitation	4
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy	4
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model	4
Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion	4
Space-time shape optimization of rotating electric machines	4
Immersed virtual element methods for electromagnetic interface problems in three dimensions	4
Stability, bifurcation and spikes of stationary solutions in a chemotaxis system with singular sensitivity and logistic source	4
Individual-based Markov model of virus diffusion: Comparison with COVID-19 incubation period, serial interval and regional time series	4
Control of COVID-19 outbreak using an extended SEIR model	4
Flow computation with the Space–Time Isogeometric Analysis and higher-order basis functions in time	4
Derivation of a von Kármán plate theory for thermoviscoelastic solids	4
Approximation of surface diffusion flow: A second-order variational Cahn–Hilliard model with degenerate mobilities	4
A kinetic modeling of crowd evacuation with several groups in complex venues	4
New primal and dual-mixed finite element methods for stable image registration with singular regularization	4
An abstract inf-sup problem inspired by limit analysis in perfect plasticity and related applications	4
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn–Hilliard–Navier–Stokes system	4
Well-posedness of a nonlinear acoustics-structure interaction model	4
Time-discrete momentum consensus-based optimization algorithm and its application to Lyapunov function approximation	3
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids	3
On the optimality of the rock-salt structure among lattices with charge distributions	3
Final size and convergence rate for an epidemic in heterogeneous populations	3
Biological modeling with nonlocal advection–diffusion equations	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
Analysis of an alternative Navier–Stokes system: Weak entropy solutions and a convergent numerical scheme	3
The Weighted Inertia-Energy-Dissipation Principle	3
Existence of multi-spikes in the Keller–Segel model with logistic growth	3
Elasto-plastic evolution of single crystals driven by dislocation flow	3
Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy	3
Impact of a unilateral horizontal gene transfer on the evolutionary equilibria of a population	3
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation	3
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases	3
Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods	3
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains	3
Hybridization of the virtual element method for linear elasticity problems	3
Non-interpenetration of rods derived by Γ-limits	3
A C1 virtual element method for an elliptic distributed optimal control problem with pointwise state constraints	3
Computational and analytical studies of a new nonlocal phase-field crystal model in two dimensions	3
Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions	3
Asymptotic analysis of thin structures with point-dependent energy growth	3
Bound-preserving finite element approximations of the Keller–Segel equations	3
Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises	3
Quantitative stochastic homogenization of an unbounded front propagation problem	3
A mean-field approach to self-interacting networks, convergence and regularity	3
Coupled dynamics of endemic disease transmission and gradual awareness diffusion in multiplex networks	3
The synergy between two threats: Disinformation and COVID-19	3
Sharp discontinuous traveling waves in a hyperbolic Keller–Segel equation	3

Repulsive chemotaxis and predator evasion in predator–prey models with diffusion and prey-taxis	3
An adaptive hybridizable discontinuous Galerkin method for Darcy–Forchheimer flow in fractured porous media	3
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth	3
Coupling compartmental models with Markov chains and measure evolution equations to capture virus mutability	3
Moment methods for kinetic traffic flow and a class of macroscopic traffic models	3
An Lp spaces-based mixed virtual element method for the two-dimensional Navier–Stokes equations	3