Optimal Runge approximation for nonlocal wave equations and unique determination of polyhomogeneous nonlinearities. [PDF]
Calc Var Partial Differ EquLin YH, Tyni T, Zimmermann P.
europepmc +1 more source
Numerical and Analytical Study of Elastic Parameters in Linearized Micropolar Elasticity
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT The effect of elastic parameters in the linearized theory of micropolar elasticity on observable deformation is analyzed analytically and numerically. Specifically, a shear deformation boundary value problem is studied to explore the physical implications of a micropolar formulation. Our new analytical solution for the two‐dimensional shearing
Lucca Schek, Wolfgang H. Müller
wiley +1 more source
Variational structures for the Fokker-Planck equation with general Dirichlet boundary conditions. [PDF]
Calc Var Partial Differ EquQuattrocchi F.
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Variational Modeling of Porosity Waves
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Mathematical models for finite‐strain poroelasticity in an Eulerian formulation are studied by constructing their energy‐variational structure, which gives rise to a class of saddle‐point problems. This problem is discretized using an incremental time‐stepping scheme and a mixed finite element approach, resulting in a monolithic, structure ...
Andrea Zafferi, Dirk Peschka
wiley +1 more source
Systematic selection of best performing mathematical models for in vitro gas production using machine learning across diverse feeds. [PDF]
Sci RepAhmadi H +3 more
europepmc +1 more source
Physics‐Based Machine Learning for Modeling Cyclic Damage Evolution
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT Accurate modeling of cyclic damage evolution is essential for predicting the long‐term performance and durability of engineering materials and structures. Traditional simulation‐based approaches, while physically rigorous, are computationally expensive, especially under complex loading histories.
Elsayed S. Elsayed +2 more
wiley +1 more source
Modeling COVID-19 transmission: effects of age structure and vaccination. [PDF]
Sci RepAli S +5 more
europepmc +1 more source
The Microlayer Framework: Extension to Aggregates With Non‐Uniform Shapes
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT The microlayer framework is a novel, powerful method for the numerical simulation of heterogeneous materials, such as aggregate‐matrix composites across different scales. While the framework has previously only been applied to geometrically isotropic aggregates, its mathematical formulation also enables the development of material models for ...
Marcel May +3 more
wiley +1 more source
Hawking-Type Singularity Theorems for Worldvolume Energy Inequalities. [PDF]
Ann Henri PoincareGraf M +3 more
europepmc +1 more source