Continuum limits of discrete thin films with superlinear growth densities
نویسندگان
چکیده
the analog theories for ‘continuous’ thin films showing that general compactness and homogenization results can be proven by adapting the techniques commonly used for problems on Sobolev spaces; on the other hand we show that new phenomena arise due to the different nature of the microscopic interactions, and in particular that for long-range interactions a surface energy on the free surfaces of the film due to boundary layer effects renders the effective behaviour depend in a non-trivial way on the number M of layers.
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