Heteroclinic Orbits, Mobility Parameters and Stability for Thin Film Type Equations

@inproceedings{Pugh2000HeteroclinicOM,
  title={Heteroclinic Orbits, Mobility Parameters and Stability for Thin Film Type Equations},
  author={M. C. Pugh},
  year={2000}
}
We study the phase space of the evolution equation ht = −(hhxxx)x − B(hhx)x, where h(x, t) ≥ 0. The parameters n > 0, m ∈ R, and the Bond number B > 0 are given. We find numerically, for some ranges of n and m, that perturbing the positive periodic steady state in a certain direction yields a solution that relaxes to the constant steady state. Meanwhile… CONTINUE READING