Pressure-dipole solutions of the thin-film equation

  • M. BOWEN, T. P. WITELSKI
  • European Journal of Applied Mathematics, April 2018, Cambridge University Press
  • DOI: 10.1017/s095679251800013x

Self-similar solutions of a 4th order nonlinear parabolic PDE on the half-line

What is it about?

We provide analysis and computation results for self-similar solutions of the fourth order nonlinear thin-film partial differential equation, allowing solutions to have sign changes.

Why is it important?

New results on first vs second-kind self-similar solutions are obtained as well as a new nonlocal regularization for PDE computations to give better agreement with self-similar behavior.

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http://dx.doi.org/10.1017/s095679251800013x

The following have contributed to this page: Thomas Witelski