4 papers
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…
Spectral theory of effective transport for discrete uniaxial polycrystalline materials
N. Benjamin Murphy, Daniel Hallman, Elena Cherkaev +1
We previously demonstrated that the bulk transport coefficients of uniaxial polycrystalline materials, including electrical and thermal conductivity, diffusivity, complex permittiv…
Bounds on the complex viscoelasticity for surface waves on ice-covered seas
C. Sampson, D. Hallman, N. B. Murphy +2
Oceanic wave propagation through Earth's sea ice covers is a critical component of accurate ice and climate modeling. Continuum models of the polar ocean surface layer are characte…
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…