2 citations · 3 across the 11 of their papers we have counts for
12 papers
On the well-posedness of a certain model with two kernels appearing in the mathematical biology
Messoud Efendiev, Vitali Vougalter
The work is devoted to establishing the global well-posedness in of the integro-differential problem involving the two nonlocal terms describing the di…
The preservation of nonnegativity of solutions of a parabolic system with the cubed Laplacian
Messoud Efendiev, Vitali Vougalter
The article is devoted to the easily verifiable necessary condition of the preservation of the nonnegativity of the solutions of a system of parabolic equations containing the cube…
On the well-posedness of some model with the cubed Laplacian arising in the Mathematical Biology
Messoud Efendiev, Vitali Vougalter
In the article we establish the global well-posedness in W^{1,(6,2)}(R \times R+) of the integro-differential equation containing the cube of the one dimensional Laplacian and the…
On the well-posedness of a certain model with the bi-Laplacian appearing in the Mathematical Biology
Messoud Efendiev, Vitali Vougalter
The work is devoted to the global well-posedness in W^{1, (4, 2)}(R\times R^{+}) of the integro-differential problem involving the square of the one dimensional Laplace operator al…
On the well-posedness of some model arising in the mathematical biology
Messoud Efendiev, Vitali Vougalter
In the article we establish the global well-posedness in W^{1, 2, 2}(R\times R^{+}) of the integro-differential equation in the case of the anomalous diffusion when the one dimensi…
On the solvability of some systems of integro-differential equations with and without a drift
Messoud Efendiev, Vitali Vougalter
We prove the existence of solutions for some integro-differential systems containing equations with and without the drift terms in the H^2 spaces by virtue of the fixed point techn…
A PDE-ODE Coupled Spatio-Temporal Mathematical Model for Fire Blight During Bloom
Michael Pupulin, Xiang-Sheng Wang, Messoud A Efendiev +2
Fire blight is a bacterial plant disease that affects apple and pear trees. We present a mathematical model for its spread in an orchard during bloom. This is a PDE-ODE coupled sys…
Allen-Cahn equation with strong irreversibility
Goro Akagi, Messoud Efendiev
This paper is concerned with a fully nonlinear variant of the Allen-Cahn equation with strong irreversibility, where each solution is constrained to be non-decreasing in time. Main…
On an exponential attractor for a class of PDEs with degenerate diffusion and chemotaxis
Messoud Efendiev, Anna Zhigun
In this article we deal with a class of strongly coupled parabolic systems that encompasses two different effects: degenerate diffusion and chemotaxis. Such classes of equations ar…
On the stability of a space vehicle riding on an intense laser beam
H. Popova, M. Efendiev, I. Gabitov
The Breakthrough Starshot Initiative is suggested to develop the concept of propelling a nano-scale spacecraft by the radiation pressure of an intense laser beam. If such a nanocra…
Global attractor and stabilization for a coupled PDE-ODE system
Messoud Efendiev, Sergey Zelik
We study the asymptotic behavior of solutions of one coupled PDE-ODE system arising in mathematical biology as a model for the development of a forest ecosystem. In the case where…
Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: two approaches
Messoud Efendiev, Francois Hamel
In this paper, we study the asymptotic behavior as of solutions of semilinear elliptic equations in quarter- or half-spaces, for which the value at is given…