27 citations · 27 across the 4 of their papers we have counts for
5 papers
Multiplicative controllability of the reaction-diffusion equation on a parallelepiped with finitely many zero hyperplanes
Alexander Khapalov
We study the global approximate controllability of the reaction-diffusion equation in a parallelpiped , governed by a multiplic…
Multiplicative controllability for semilinear reaction-diffusion equations with finitely many changes of sign
Piermarco Cannarsa, Giuseppe Floridia, Alexander Y. Khapalov
We study the global approximate controllability properties of a one dimensional semilinear reaction-diffusion equation governed via the coefficient of the reaction term. It is assu…
Dynamic discrete model for the granular matter formation process
Alexander Khapalov, Sergey Lapin
In this paper we introduce 1- and 2- discrete models for the dynamic granular matter formation process in the form of a system of difference equations. This approach allows u…
Wellposedness of a swimming model in the 3-D incompressible fluid governed by the nonstationary Stokes equation
A. Y. Khapalov
We introduce and investigate the wellposedness of a model describing the self-propelled motion of a small abstract swimmer in the 3-D incompressible fluid governed by the nonstatio…
Controllability properties for the one-dimensional Heat equation under multiplicative or nonnegative additive controls with local mobile support
Luis A. Fernandez, Alexander Y. Khapalov
We discuss several new results on nonnegative approximate controllability for the one-dimensional Heat equation governed by either multiplicative or nonnegative additive control, a…