23 citations · 59 across the 25 of their papers we have counts for
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math-ph2022★ 1 cited
On operator estimates in homogenization of non-local operators of convolution type
A. Piatnitski, V. Sloushch, T. Suslina +1
The paper studies a bounded symmetric operator in with $$ ({\mathbf{A}}_\varepsilon u) (x) = \varepsilon^{-d-2} \int_{\mathbf{R}^d} a…
math-ph2022
Mathematical multi-scale model of water purification
A. Piatnitski, A. Shamaev, E. Zhizhina
In this work we consider a mathematical model of the water treatment process and determine the effective characteristics of this model. At the microscopic length scale we describe…