Mathematical Models & Methods in Applied Sciences

Papers
(The H4-Index of Mathematical Models & Methods in Applied Sciences is 19. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-08-01 to 2025-08-01.)
ArticleCitations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world105
On the dynamic slip boundary condition for Navier–Stokes-like problems66
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications42
Data-driven learning to enhance a kinetic model of distressed crowd dynamics41
A duality and free boundary approach to adverse selection41
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion32
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption30
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems25
Thermodynamically consistent modeling for complex fluids and mathematical analysis24
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective24
Energy-stable mixed finite element methods for the Rosensweig ferrofluid flow model22
On the stabilization of a virtual element method for an acoustic vibration problem22
Erratum: Doubly nonlinear stochastic evolution equations22
A mean-field approach to self-interacting networks, convergence and regularity21
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation21
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains21
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases21
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids21
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model21
Derivation of a von Kármán plate theory for thermoviscoelastic solids19
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations19
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