2 papers
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…
math.AP2016
Exact Bounded Boundary Controllability to Rest for the Two-Dimensional Wave Equation
Igor Romanov, Alexey Shamaev
The problem of the exact bounded control of oscillations of the two-dimensional wave equation is considered. Control force is applied to the boundary of the membrane, which is loca…