4 citations · 5 across the 2 of their papers we have counts for
3 papers
math-ph2004★ 1 cited
Capillarity driven spreading of circular drops of shear-thinning fluid
S. I. Betelu, M. A. Fontelos
We investigate the spreading of thin, circular liquid drops of power-law rheology. We derive the equation of motion using the thin film approximation, construct source-type similar…
math-ph2003★ 4 cited
Analysis of the self-similar spreading of power law fluids
D. G. Aronson, S. I. Betelu, M. A. Fontelos +1
We consider the equation that models the spreading of thin liquid films of power-law rheology. In particular, we analyze the existence and uniqueness of source-type self-similar so…
nlin.AO2001
Going with the Flow: a Lagrangian approach to self-similar dynamics and its consequences
D. G. Aronson, S. I. Betelu, I. G. Kevrekidis
We present a systematic computational approach to the study of self-similar dynamics. The approach, through the use of what can be thought of as a ``dynamic pinning condition" fact…