Eugene Benilov - “Liquid flowing down an inclined plate”

Problem statement:

• Smooth shock waves for Stokes flow down an inclined plane. With increasing angle, oscillations appear and then no solutions are possible because they all overturn.

• Open question: When do steady solutions exist and when do they overturn? What is the physical mechanism for the oscillations observed?

Suggestions/comments:

• JRO: Look at the thin layer limit.

People interested in follow-up: JRO