Some Theoretical Results concerning Diphasic Fluids in Thin Films
نویسندگان
چکیده
We are interested in a model for diphasic fluids in thin flows taking into account both the hydrodynamical and the chemical effects at the interface between the two fluids. A limit problem in “thin films” is introduced heuristically. It is a system coupling the Reynolds equation and the hydrodynamical Cahn-Hilliard equation. We study the mathematical properties of this system, and prove an existence result under some smallness condition on the data. ————————————————————Communicated by Editors; Received ???, 2009. This work is supported by xxxxxxxxxxxxxxxxxxxx. AMS Subject Classification xxxxxxxxxx, xxxxxxxxxx 1 ha l-0 03 83 73 2, v er si on 1 13 M ay 2 00 9
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