0 An asymptotic line is a line that gets closer and closer to a curve as the distance gets closer to infinity. --
The empirical laws have not been interpreted as asymptotic laws although some small systematic departures have been noted.
A homogenization algorithm is implemented, and asymptotic formulae are derived for the effective elastic moduli of the periodic structures.
For streaming below a certain threshold we determined matched asymptotic expansions for the electric potential, ion number density and ion velocity.
The concepts of asymptotic and local invariances suggest that the flow structure sufficiently downstream from the origin should be universal.
Again far downstream from the leading edge, we expect an asymptotic behaviour independent of streamwise distance.
We now review some of the elementary notions of the method of matched asymptotic expansions in the context of expansions of mean velocity.
Our computations show that the asymptotic drop shape consists of a compact, nearly spherical drop that encloses a spike of entrained ambient fluid.
The numerical integration is started at the singular point r = 0 by using asymptotic expression of the solutions.
