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# Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation

@article{Gnann2015WellPosednessAS, title={Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation}, author={Manuel V. Gnann}, journal={SIAM J. Math. Analysis}, year={2015}, volume={47}, pages={2868-2902} }

- Published 2015 in SIAM J. Math. Analysis
DOI:10.1137/14099190X

We investigate compactly supported solutions for a thin-film equation with linear mobility in the regime of perfect wetting. This problem has already been addressed by Carrillo and Toscani, proving that the source-type self-similar profile is a global attractor of entropy solutions with compactly supported initial data. Here we study small perturbations of source-type self-similar solutions for the corresponding classical free boundary problem and set up a global existence and uniqueness theoryâ€¦Â CONTINUE READING

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