Heteroclinic orbits, mobility parameters and stability for thin film type equations

We study the phase space of the evolution equation $$ h_t = -(h^n h_{xxx})_x - mathcal{B} (h^m h_x)_x , $$ where $h(x,t) geq 0$. The parameters $n>0$, $m in mathbb{R}$, and the Bond number $mathcal{B}>0$ are given. We find numerically, for some ranges of $n$ and $m$, that perturbing the positi...

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Bibliographic Details
Main Authors: Richard. S. Laugesen, Mary C. Pugh
Format: Article
Language:English
Published: Texas State University 2002-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/95/abstr.html