We prove existence of weak solutions of a fractional thin film type equation with linear mobility in any space dimension and for any order of the equation. The proof is based on a gradient flow technique in the space of Borel probability measures endowed with the Wasserstein distance.

Fractional higher order thin film equation with linear mobility: gradient flow approach.

Stefano Lisini
2024-01-01

Abstract

We prove existence of weak solutions of a fractional thin film type equation with linear mobility in any space dimension and for any order of the equation. The proof is based on a gradient flow technique in the space of Borel probability measures endowed with the Wasserstein distance.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1487537
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