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math.DS2017
Self-similar lifting and persistent touch-down points in the thin-film equation
Carlota M. Cuesta, Hans Knüpfer, Juan J. L. Velázquez
We study self-similar solutions of the thin-film equation, with mobility exponent m in (0,4], that describe the lifting of an isolated touch-down point given by an initial profile…
math.DS2013
Existence of solutions describing accumulation in a thin-film flow
Carlota M. Cuesta, J. J. L. Velázquez
We consider a third order non-autonomous ODE that arises as a model of fluid accumulation in a two dimensional thin-film flow driven by surface tension and gravity. With the approp…