Mathematical Models & Methods in Applied Sciences

Papers
(The H4-Index of Mathematical Models & Methods in Applied Sciences is 20. 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 2021-06-01 to 2025-06-01.)
ArticleCitations
Weak entropy solutions to a model in induction hardening, existence and weak-strong uniqueness98
A duality and free boundary approach to adverse selection73
On the dynamic slip boundary condition for Navier–Stokes-like problems65
Epidemics and society — A multiscale vision from the small world to the globally interconnected world41
Data-driven learning to enhance a kinetic model of distressed crowd dynamics40
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications40
Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems30
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion30
Thermodynamically consistent modeling for complex fluids and mathematical analysis29
A stochastic model of grain boundary dynamics: A Fokker–Planck perspective29
Erratum: Doubly nonlinear stochastic evolution equations25
On the stabilization of a virtual element method for an acoustic vibration problem24
Small-mass solutions in a two-dimensional logarithmic Chemotaxis–Navier–Stokes system with indirect nutrient consumption22
Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation21
Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth21
Derivation of effective theories for thin 3D nonlinearly elastic rods with voids21
Weak solutions to the heat conducting compressible self-gravitating flows in time-dependent domains21
Structured population models on Polish spaces: A unified approach including graphs, Riemannian manifolds and measure spaces to describe dynamics of heterogeneous populations21
A mean-field approach to self-interacting networks, convergence and regularity21
Confined run-and-tumble model with boundary aggregation: Long-time behavior and convergence to the confined Fokker–Planck model20
Derivation of a von Kármán plate theory for thermoviscoelastic solids20
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