2 papers
physics.flu-dyn2026
Iterative bounds on effective transport for advection diffusion in periodic flow fields
N. B. Murphy, D. Hallman, E. Cherkaev +2
Over three decades ago a Stieltjes integral representation for the effective diffusivity of a tracer in a steady fluid velocity field was developed, involving the spectral measure…
math-ph2024
Spectral theory of effective transport for continuous uniaxial polycrystalline materials
N. Benjamin Murphy, Daniel Hallman, Elena Cherkaev +1
Following seminal work in the early 1980s that established the existence and representations of the homogenized transport coefficients for two phase random media, we develop a math…