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.
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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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This page is a summary of: Pressure-dipole solutions of the thin-film equation, European Journal of Applied Mathematics, April 2018, Cambridge University Press,
DOI: 10.1017/s095679251800013x.
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