2 citations · 8 across the 14 of their papers we have counts for
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Two- and Multi-phase Quadrature Surfaces
Avetik Arakelyan, Jyotshana V. Prajapat, Henrik Shahgholian
In this paper we shall initiate the study of the two- and multi-phase quadrature surfaces (QS), which amounts to a two/multi-phase free boundary problems of Bernoulli type. The pro…
On the Uniqueness of the Solution to a Strongly Competing System
Avetik Arakelyan, Farid Bozorgnia
This work is devoted to prove uniqueness result for the positive solution to a strongly competing system of Lotka - Volterra type in the limiting configuration, when the competitio…
Convergence of the finite difference scheme for a general class of the spatial segregation of reaction-diffusion systems
Avetik Arakelyan
In this work we prove convergence of the finite difference scheme for equations of stationary states of a general class of the spatial segregation of reaction-diffusion systems wit…
A Numerical Approach for a General Class of the Spatial Segregation of Reaction-Diffusion Systems Arising in Population Dynamics
Avetik Arakelyan, Rafayel Barkhudaryan
In the current work we consider the numerical solutions of equations of stationary states for a general class of the spatial segregation of reaction-diffusion systems with $m\geq 2…