45 citations · 376 across the 53 of their papers we have counts for
60 papers
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…
A temporal-averaging based approach to toughness homogenisation in heterogeneous material
Gaspare Da Fies, Daniel Peck, Martin Dutko +1
A new approach to defining the effective fracture toughness for heterogeneous materials is proposed. This temporal averaging approach is process-dependent, incorporating the crack…
The Wiener--Hopf Technique, its Generalisations and Applications: Constructive and Approximate Methods
Anastasia Kisil, David Abrahams, Gennady Mishuris +1
This paper reviews the modern state of the Wiener--Hopf factorization method and its generalizations. The main constructive results for matrix Wiener--Hopf are presented, approxima…