Abstract: |
We prove existence of nonnegative martingale solutions to the stochastic thin-film equation with Stratonovich noise. In the first part of the talk, I will give a proof of existence for quadratic mobilities and linear gradient noise based on a Trotter-Kato scheme, essentially only building up on dissipation of the surface energy. In the second part, I will then discuss how to treat general mobilities and nonlinear gradient noise, which additionally requires the use of entropy functionals. |
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