Homogenized Interface Model Describing Inhomogeneities Located on a Surface

Homogenized Interface Model Describing Inhomogeneities Located on a Surface

We study the influence of heterogeneities located near a planar surface on the elastic response of a three-dimensional elastic medium. These heterogeneities can be either reinforcements, like steel reinforcements in concrete, or defects, like micro-cracks periodically distributed. We prove that their influence is of the second order from an energetic viewpoint. Then, we propose an “up to second...

Matched asymptotic expansion method for an homogenized interface model

Sharp Interface Limit of a Homogenized Phase Field Model for Phase Transitions in Porous Media

A homogenized phase field model for phase transitions in porous media is considered. By making use of the method of formal asymptotic expansion with respect to the interface thickness, a sharp interface limit problem is derived. This limit problem turns out to be similar to the classical Stefan problem with surface tension and kinetic undercooling.

A Homogenized Model for Vortex Sheets

Morphological, physiological, and biochemical properties of fungal cells located on a liquid-surface and an organic–aqueous interface

In general, morphological, physiological, and biochemical properties of fungal cells are drastically different among solid-state (SSC), liquid-surface (LSC), and submerged cultivation (SmC) systems. In addition to these traditional cultivation systems, a unique liquid-surface cultivation [liquid-surface immobilization (LSI)] system and interface cultivation systems [extractive liquid-surface im...