765 citations · 1.3k across the 24 of their papers we have counts for
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Approximate self-similar solutions for the boundary value problem arising in modeling of gas flow in porous media with pressure dependent permeability
Nikolay A. Kudryashov, Mark B. Kochanov, Viktoria L. Savatorova
The flow of a gas through porous medium is considered in the case of pressure dependent permeability. Approximate self-similar solutions of the boundary-value problems are found.
High order model for describing the pattern formation processes on semiconductor surfaces
Nikolay A. Kudryashov, Pavel N. Ryabov
The self-organization processes of nanopattern formation on semiconductor surfaces under low energy ion beam bombardment is considered. The new mathematical model based on nonlinea…
Self-organization of adiabatic shear bands in OFHC copper and HY-100 steel
N. A. Kudryashov, P. N. Ryabov, A. S. Zakharchenko
In this paper we study the self-organization process of adiabatic shear bands in OFHC copper and HY-100 steel taking into account strain hardening factor. Starting from mathematica…
Statistical simulation of pattern formation on plane target surfaces by ion beam sputtering
Nikolay A. Kudryashov, Mikhail V. Skachkov
Numerical simulation of pattern formation on plane target surfaces undergoing ion-beam sputtering is carried out. Base of the mathematical model of target ion-sputtering is nonline…
Special solutions of high order equation for waves in liquid with gas bubbles
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov
A fifth--order nonlinear partial differential equation for the description of nonlinear waves in a liquid with gas bubbles is considered. Special solutions of this equation are stu…
Analytical solutions of the Rayleigh equation for empty and gas--filled bubble
Nikolay A. Kudryashov, Dmitry I. Sinelshchikov
The Rayleigh equation for bubble dynamics is widely used. However, analytical solutions of this equation have not been obtained previously. Here we find closed--form general soluti…