45 citations · 376 across the 53 of their papers we have counts for
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Asymptotic analysis a perturbed Robin problem in a planar domain
Paolo Musolino, Martin Dutko, Gennady Mishuris
We consider a perforated domain of with a small hole of size and we study the behavior of the solution of a mixed Neumann-Robin problem in as the s…
A degenerating Robin-type traction problem in a periodic domain
Matteo Dalla Riva, Gennady Mishuris, Paolo Musolino
We consider a linearly elastic material with a periodic set of voids. On the boundaries of the voids we set a Robin-type traction condition. Then we investigate the asymptotic beha…
Integral equation method for a Robin-type traction problem in a periodic domain
Matteo Dalla Riva, Gennady Mishuris, Paolo Musolino
In this note, we consider a Robin-type traction problem for a linearly elastic body occupying an infinite periodically perforated domain. After proving the uniqueness of the soluti…
Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem
Paolo Musolino, Gennady Mishuris
We study the asymptotic behavior of the solutions of a boundary value problem for the Laplace equation in a perforated domain in , , with a (nonlinear) Robin…
Asymptotic modeling of the JKR adhesion contact for a thin elastic layer
I. I. Argatov, G. S. Mishuris, V. L. Popov
The Johnson--Kendall--Roberts model of frictionless adhesive contact is extended to the case of a thin transversely isotropic elastic layer bonded to a rigid base. The leading-orde…
An asymptotic model for a thin bonded elastic layer coated with an elastic membrane
Ivan Argatov, Gennady Mishuris
The deformation problem for a transversely isotropic elastic layer bonded to a rigid substrate and coated with a very thin elastic layer made of another transversely isotropic mate…