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 2021-05-01 to 2025-05-01.)
ArticleCitations
Epidemics and society — A multiscale vision from the small world to the globally interconnected world93
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness71
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications61
On the dynamic slip boundary condition for Navier–Stokes-like problems40
A duality and free boundary approach to adverse selection40
Data-driven learning to enhance a kinetic model of distressed crowd dynamics33
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 systems30
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective29
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion29
Thermodynamically consistent modeling for complex fluids and mathematical analysis25
Erratum: Doubly nonlinear stochastic evolution equations24
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations21
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains21
On the stabilization of a virtual element method for an acoustic vibration problem21
A mean-field approach to self-interacting networks, convergence and regularity21
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth20
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids20
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation20
Fast and slow clustering dynamics of Cucker–Smale ensemble with internal oscillatory phases19
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model19
Derivation of a von Kármán plate theory for thermoviscoelastic solids19
Collective dynamics in science and society19
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