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math.AP2024
Existence of nonnegative energy-dissipating solutions to a class of stochastic thin-film equations under weak slippage: Part I -- positive solutions
Günther Grün, Lorenz Klein
For mobility exponents , we prove existence of strictly positive solutions to stochastic thin-film equations with singular effective interface potential and Stratonovi…
math.AP2024
Existence of nonnegative energy-dissipating solutions to a class of stochastic thin-film equations under weak slippage: Part II -- compactly supported initial data
Günther Grün, Lorenz Klein
We prove existence of martingale solutions to a class of stochastic thin-film equations for mobility exponents and compactly supported initial data. With the perspect…
math.AP2021
Zero-contact angle solutions to stochastic thin-film equations
Günther Grün, Lorenz Klein
We establish existence of nonnegative martingale solutions to stochastic thin-film equations with compactly supported initial data under Stratonovich noise. Based on so called -…