Speaker's Name: Roman TaranetsSpeaker's Affiliation: Institute of Applied Mathematics and Mechanics of the NAS of UkraineSpeaker's Research Theme(s): Applied MathematicsAbstract:We prove existence of solutions to a family of fractional thin-film equations in a bounded domain. A non-local operator is given by the spectral fractional Laplacian. In the case of a "strong slippage" regime with "complete wetting" interfacial conditions, we prove local entropy estimates which entails finite speed of propagation of the support and a lower bound for the waiting time phenomenon.
Venue: UP-Maths A17
The University of NottinghamUniversity Park Nottingham, NG7 2RD
For all enquiries please visit: www.nottingham.ac.uk/enquire