2 papers
math.NA2011
An algorithm for autonomously plotting solution sets in the presence of turning points
Steven Pollack, Daniel Badali, Jonathan Pollack
Plotting solution sets for particular equations may be complicated by the existence of turning points. Here we describe an algorithm which not only overcomes such problematic point…
physics.flu-dyn2011
Asymptotic behavior of regularized shock solutions in coating flows
Daniel Badali, Marina Chugunova, Dmitry Pelinovsky +1
We consider a model for thin liquid films in a rotating cylinder in the small surface tension limit. Using dynamical system methods, we show that the continuum of increasing shock…