1 citations · 1 across the 4 of their papers we have counts for
5 papers
Higher order potential in the modified convective-viscous Cahn-Hilliard equation
P. O. Mchedlov-Petrosyan, L. N. Davydov, O. A. Osmaev
To describe highly heterogeneous systems using the Cahn-Hilliard equation, the standard form of the thermodynamic potential with a constant coefficient in the gradient term and a p…
Kinetic Model of the Emergence of Autocatalysis
P. O. Mchedlov-Petrosyan, L. N. Davydov
We develop a formal model of the emergence of self-constructing objects (e.g. heteropolymers with autocatalytic capability) in an open system, which don't contain such objects init…
Convective Viscous Cahn-Hilliard/Allen-Cahn Equation: Exact Solutions
P. O. Mchedlov-Petrosyan, L. N. Davydov
Recently the combination of the well-known Cahn-Hilliard and Allen-Cahn equations was used to describe surface processes, such as simultaneous adsorption/desorption and surface dif…
Cahn-Hilliard model with Schlögl reactions: interplay of equilibrium and non-equilibrium phase transitions. I. Travelling wave solutions
P. O. Mchedlov-Petrosyan, L. N. Davydov
The present work is devoted to the modelling which is based on the modified Cahn-Hilliard equation, the interplay of equilibrium and non-equilibrium phase transitions. The non-equi…
Exact travelling wave solutions for the Penrose-Fife Phase Field Model
Petro Mchedlov-Petrosyan, Leonid Davydov
The Penrose-Fife Phase Field Model is now a well-established model in the theory of phase transitions. In the course of study of this model both the rigorous mathematical results a…