Mathematical Modeling and Analysis
Mathematical Modeling and Analysis
The objective of this research is determine the lubrication force in the limit were the gap size is of molecular dimensions. It is well-known that the commonly used continuum approximations must break down when these dimensions are approached, but the outstanding challenge is to provide a replacement that is both firmly based in molecular science (statisticsal mechanics), and can be combined smoothly with the existing continuum solvers. By performing molecular dynamics and developing ways to extract the observables relevant to continuum dynamics we seek to fill the gap of knowledge at the molecular scale and bridge the gap to the continuum scale with a sound and systematic approach.
