WorldCat Identities

Efendiev, Messoud

Overview
Works: 19 works in 60 publications in 2 languages and 949 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor
Publication Timeline
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Most widely held works by Messoud Efendiev
Evolution equations arising in the modelling of life sciences by Messoud Efendiev( )

16 editions published between 2013 and 2015 in English and held by 476 WorldCat member libraries worldwide

This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting.   The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically
Attractors for degenerate parabolic type equations by Messoud Efendiev( Book )

9 editions published in 2013 in English and held by 244 WorldCat member libraries worldwide

This book deals with the long-time behavior of solutions of degenerate parabolic dissipative equations arising in the study of biological, ecological, and physical problems. Examples include porous media equations, p-Laplacian and doubly nonlinear equations, as well as degenerate diffusion equations with chemotaxis and ODE-PDE coupling systems. For the first time, the long-time dynamics of various classes of degenerate parabolic equations, both semilinear and quasilinear, are systematically studied in terms of their global and exponential attractors. The long-time behavior of many dissipative
Analysis and simulation of multifield problems by International Conference on Multifield Problems( Book )

8 editions published between 2003 and 2011 in English and held by 119 WorldCat member libraries worldwide

The analysis and simulation of multifield problems have recently become one of the most actual and vivid areas of research. Although the individual subproblems of complex technical and physical phenomena often are understood separately, their interaction and coupling create not only new difficulties but also a complete new level and quality of interacting coupled field problems. Presented by leading experts this book includes recent results in these fields from the International Conference on Multifield Problems, April 8-10, 2002 at the University of Stuttgart, Germany
Mathematical Modeling of Mitochondrial Swelling by Messoud Efendiev( )

3 editions published in 2018 in English and held by 29 WorldCat member libraries worldwide

Fredholm Structures, topological invariants and applications by Messoud Efendiev( Book )

6 editions published in 2009 in English and held by 21 WorldCat member libraries worldwide

SYMMETRIZATION AND STABILIZATION OF SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS by Messoud Efendiev( )

2 editions published in 2018 in English and held by 15 WorldCat member libraries worldwide

New models of Cahn Hillard Gurtin equations by Messoud Efendiev( Book )

2 editions published in 2003 in English and held by 9 WorldCat member libraries worldwide

On the rate independent limit of systems with dry friction and small viscosity by Messoud Efendiev( Book )

2 editions published in 2003 in German and held by 8 WorldCat member libraries worldwide

Generalized necessary scaling condition and stability of chemical reactors with several educts by Messoud Efendiev( Book )

1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide

The attractor for a nonlinear reaction diffusion system in an unbounded domain by Messoud Efendiev( Book )

1 edition published in 1999 in English and held by 4 WorldCat member libraries worldwide

The finite dimensional attractor for a 4th order system of Cahn-Hilliard type with a supercritical nonlinearity by Messoud Efendiev( Book )

1 edition published in 2001 in English and held by 4 WorldCat member libraries worldwide

The long time behaviour of the thermoconvective flow in a porous medium by Messoud Efendiev( Book )

1 edition published in 2000 in English and held by 4 WorldCat member libraries worldwide

The attractor for a nonlinear reaction-diffusion system in an unbounded domain( )

1 edition published in 1999 in English and held by 2 WorldCat member libraries worldwide

In this paper the quasilinear second order parabolic systems of reaction-diffusion type in an unbounded domain are considered. Our aim in this article is to study the long-time behaviour of parabolic systems for which the nonlinearity depends explicitely on the gradient of the unknown functions. To this end we give a systematic study of given parabolic systems and their attractors in weighted Sobolev spaces. Dependence of the Hausdorff dimension of attractors from weight of the Sobolev spaces are considered
The long-time behaviour of the thermoconvective flow in a porous medium( )

1 edition published in 2000 in English and held by 2 WorldCat member libraries worldwide

For the Boussinesq approximation of the equations of coupled heat and fluid flow in a porous medium we show that the corresponding system of partial differential equations posesses a global attractor. We give lower and upper bounds of the Hausdorff dimension of the attractor depending on a physical parameter of the system, namely the Rayleigh number of the flow. Numerical experiments confirm the theoretical findings and raise new questions on the structure of the solutions of the system
On nonlinear Riemann-Hilbert problems with discontinuous coefficients by Messoud Efendiev( Book )

2 editions published in 2006 in English and held by 2 WorldCat member libraries worldwide

Generalized necessary scaling condition and stability of chemical reactors with several educts( )

1 edition published in 2001 in English and held by 2 WorldCat member libraries worldwide

We present, for a class of industrially relevant chemical reactions with two educts the dependence of stability on important chemical parameters, such as coolant, dilution and diffusion rates. The main analytical tools are generalized upscaling balance condition for the equilibria concentrations and spectral properties of corresponding operators. Although we illustrate the stability analysis for a model reactor (2 educts, E_1 and E_2), it should be emphasized that our approach is applicable to more complex reaction mechanisms
The finite dimensional attractor for a 4th order system of Cahn-Hilliard type with a supercritical nonlinearity( )

1 edition published in 2001 in English and held by 2 WorldCat member libraries worldwide

Analysis of a PDE model of the swelling of mitochondria accounting for spatial movement( )

1 edition published in 2018 in English and held by 1 WorldCat member library worldwide

Abstract : We analyze existence and asymptotic behavior of a system of semilinear diffusion‐reaction equations that arises in the modeling of the mitochondrial swelling process. The model itself expands previous work in which the mitochondria were assumed to be stationary, whereas now their movement is modeled by linear diffusion. While in the previous model certain formal structural conditions were required for the rate functions describing the swelling process, we show that these are not required in the extended model. Numerical simulations are included to visualize the solutions of the new model and to compare them with the solutions of the previous model
Nonlinear Riemann-Hilbert problems for generalized analytic functions by Messoud Efendiev( )

1 edition published in 2009 in English and held by 1 WorldCat member library worldwide

 
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Audience Level
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  Kids General Special  
Audience level: 0.61 (from 0.50 for Evolution ... to 0.99 for Nonlinear ...)

Analysis and simulation of multifield problems
Covers
Fredholm Structures, topological invariants and applications
Alternative Names
Efendiev, Messoud.

Efendiev, Messoud A. 1953-

Efendiyev, Messoud 1953-

Massoud Effendiev

Messaoud Efendijev mathématicien azerbaïdjanais

Messoud Efendiev aserbaidschanischer Mathematiker

Messoud Efendiev Azerbaijani academic

Messoud Efendiev scienziato azero

Messoud Efendiev wiskundige uit Azerbeidzjan

Эфендиев, Месуд

メソード・エフェンディエフ

Languages
English (58)

German (2)