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1

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

Messoud A. Efendiev, Sergey V. Zelik

Journal:

Communications on Pure and Applied Mathematics

Year:

2001

Language:

english

File:

PDF, 362 KB

english, 2001

2

Infinite dimensional exponential attractors for a non–autonomous reaction–diffusion system

Messoud Efendiev, Alain Miranville, Sergey Zelik

Journal:

Mathematische Nachrichten

Year:

2003

Language:

english

File:

PDF, 334 KB

english, 2003

3

Asymptotic behavior of solutions of semilinear elliptic equations in unbounded domains: Two approaches

Messoud Efendiev, François Hamel

Journal:

Advances in Mathematics

Year:

2011

Language:

english

File:

PDF, 230 KB

english, 2011

4

LOWER ESTIMATE OF THE ATTRACTOR DIMENSION FOR A CHEMOTAXIS GROWTH SYSTEM

AIDA, MASASHI, TSUJIKAWA, TOHRU, EFENDIEV, MESSOUD, YAGI, ATSUSHI, MIMURA, MASAYASU

Journal:

Journal of the London Mathematical Society

Year:

2006

Language:

english

File:

PDF, 332 KB

english, 2006

5

Exponential attractors for a singularly perturbed Cahn-Hilliard system

Messoud Efendiev, Alain Miranville, Sergey Zelik

Journal:

Mathematische Nachrichten

Year:

2004

Language:

english

File:

PDF, 254 KB

english, 2004

6

Infinite-dimensional exponential attractors for fourth-order nonlinear parabolic equations in unbounded domains

Messoud Efendiev

Journal:

Mathematical Methods in the Applied Sciences

Year:

2011

Language:

english

File:

PDF, 189 KB

english, 2011

7

On the well-posedness of a mathematical model of quorum-sensing in patchy biofilm communities

Stefanie Sonner, Messoud A. Efendiev, Hermann J. Eberl

Journal:

Mathematical Methods in the Applied Sciences

Year:

2011

Language:

english

File:

PDF, 563 KB

english, 2011

8

Dimension estimate of the exponential attractor for the chemotaxis-growth system

Messoud Efendiev, Michael Kläre, Rupert Lasser

Journal:

Mathematical Methods in the Applied Sciences

Year:

2007

Language:

english

File:

PDF, 271 KB

english, 2007

9

Exponential attractors for a nonlinear reaction-diffusion system in R3

Messoud Efendiev, Alain Miranville, Sergey Zelik

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

File:

PDF, 153 KB

2000

10

Evolution Equations Arising in the Modelling of Life Sciences || Global Attractors for Autonomous Evolution Equations

Efendiev, Messoud

Year:

2013

Language:

english

File:

PDF, 231 KB

english, 2013

11

Existence and longtime behavior of a biofilm model

Efendiev, Messoud, Zelik, Sergey, Eberl, Hermann

Journal:

Communications on Pure and Applied Analysis

Year:

2008

Language:

english

File:

PDF, 1.45 MB

english, 2008

12

Analysis of a degenerate biofilm model with a nutrient taxis term

Eberl, Hermann, Efendiev, Messoud A., Wrzosek, Dariusz, Zhigun, Anna

Journal:

Discrete and Continuous Dynamical Systems

Year:

2013

Language:

english

File:

PDF, 546 KB

english, 2013

13

[Lecture Notes in Applied and Computational Mechanics] Analysis and Simulation of Multifield Problems Volume 12 ||

Wendland, Wolfgang, Efendiev, Messoud

Year:

2003

Language:

english

File:

PDF, 19.87 MB

english, 2003

14

On an ODE-PDE coupling model of the mitochondrial swelling process

Eisenhofer, Sabine, Efendiev, Messoud A., Ôtani, Mitsuharu, Schulz, Sabine, Zischka, Hans

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2015

Language:

english

File:

PDF, 3.42 MB

english, 2015

15

On the well-posedness of mathematical models for multicomponent biofilms

Sonner, Stefanie, Efendiev, Messoud A., Eberl, Hermann J.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2015

Language:

english

File:

PDF, 967 KB

english, 2015

16

Exponential attractors for non-autonomous dissipative system

EFENDIEV, Messoud, YAMAMOTO, Yoshitaka, YAGI, Atsushi

Journal:

Journal of the Mathematical Society of Japan

Year:

2011

Language:

english

File:

PDF, 269 KB

english, 2011

17

A functional partial differential equation arising in a cell growth model with dispersion

Efendiev, Messoud, van Brunt, Bruce, Wake, Graeme C., Zaidi, Ali Ashher

Journal:

Mathematical Methods in the Applied Sciences

Year:

2017

Language:

english

File:

PDF, 301 KB

english, 2017

18

Mathematical Modeling of Mitochondrial Swelling || The Swelling of Mitochondria: Degenerate Diffusion

Efendiev, Messoud

Year:

2018

Language:

english

File:

PDF, 1.39 MB

english, 2018

19

Mathematical Modeling of Mitochondrial Swelling ||

Efendiev, Messoud

Year:

2018

Language:

english

File:

PDF, 9.50 MB

english, 2018

20

Classification of positive solutions of semilinear elliptic equations

Jérôme Busca, Messoud Efendiev, S. Zelik

Journal:

Comptes Rendus Mathematique

Year:

2004

File:

PDF, 88 KB

2004

21

Dimension estimate of the global attractor for a semi-discretized chemotaxis–growth system by conservative upwind finite-element scheme

Messoud Efendiev, Etsushi Nakaguchi, Wolfgang L. Wendland

Journal:

Journal of Mathematical Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 230 KB

english, 2009

22

Pullback exponential attractors for nonautonomous equations Part II: Applications to reaction–diffusion systems

Radoslaw Czaja, Messoud Efendiev

Journal:

Journal of Mathematical Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 236 KB

english, 2011

23

Pullback exponential attractors for nonautonomous equations Part I: Semilinear parabolic problems

Radoslaw Czaja, Messoud Efendiev

Journal:

Journal of Mathematical Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 278 KB

english, 2011

24

Hardy spaces for the conjugated Beltrami equation in a doubly connected domain

Messoud Efendiev, Emmanuel Russ

Journal:

Journal of Mathematical Analysis and Applications

Year:

2011

Language:

english

File:

PDF, 208 KB

english, 2011

25

Infinite-dimensional attractors for parabolic equations with p-Laplacian in heterogeneous medium

Messoud A. Efendiev, Mitsuharu Ôtani

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2011

Language:

english

File:

PDF, 233 KB

english, 2011

26

Infinite dimensional attractors for porous medium equations in heterogeneous medium

Messoud Efendiev

Journal:

Mathematical Methods in the Applied Sciences

Year:

2012

Language:

english

File:

PDF, 175 KB

english, 2012

27

[Lecture Notes in Applied and Computational Mechanics] Analysis and Simulation of Multifield Problems Volume 12 || Regularity results for transmission problems of linear elasticity on polyhedral domains

Wendland, Wolfgang, Efendiev, Messoud

Year:

2003

Language:

english

File:

PDF, 810 KB

english, 2003

28

[Lecture Notes in Applied and Computational Mechanics] Analysis and Simulation of Multifield Problems Volume 12 || Singularities of surface-breaking cracks in bi-material interfaces

Wendland, Wolfgang, Efendiev, Messoud

Year:

2003

Language:

english

File:

PDF, 797 KB

english, 2003

29

Nonlinear Riemann-Hilbert Problems for Generalized Analytic Functions

Efendiev, Messoud A., Wendland, Wolfgang L.

Journal:

Functiones et Approximatio Commentarii Mathematici

Year:

2009

Language:

english

File:

PDF, 524 KB

english, 2009

30

Quasilinear Elliptic Equations on Half- and Quarter-spaces

Dancer, E.N., Du, Yihong, Efendiev, Messoud

Journal:

Advanced Nonlinear Studies

Year:

2013

Language:

english

File:

PDF, 159 KB

english, 2013

31

DIMENSION ESTIMATE OF THE EXPONENTIAL ATTRACTOR FOR THE CHEMOTAXIS–GROWTH SYSTEM

EFENDIEV, MESSOUD, NAKAGUCHI, ETSUSHI, OSAKI, KOICHI

Journal:

Glasgow Mathematical Journal

Year:

2008

Language:

english

File:

PDF, 149 KB

english, 2008

32

On a weak attractor of a class of PDEs with degenerate diffusion and chemotaxis

EFENDIEV, Messoud, ZHIGUN, Anna, SENBA, Takasi

Journal:

Journal of the Mathematical Society of Japan

Year:

2014

Language:

english

File:

PDF, 241 KB

english, 2014

33

On the stability of a space vehicle riding on an intense laser beam

Popova, Elena, Efendiev, Messoud, Gabitov, Ildar

Journal:

Mathematical Methods in the Applied Sciences

Year:

2017

Language:

english

File:

PDF, 518 KB

english, 2017

34

Continuous dependence on a parameter of exponential attractors for chemotaxis-growth system

EFENDIEV, Messoud, YAGI, Atsushi

Journal:

Journal of the Mathematical Society of Japan

Year:

2005

Language:

english

File:

PDF, 97 KB

english, 2005

35

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

Efendiev, Messoud A., Ôtani, Mitsuharu, Eberl, Hermann J.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2018

Language:

english

File:

PDF, 865 KB

english, 2018

36

Allen–Cahn equation with strong irreversibility

AKAGI, GORO, EFENDIEV, MESSOUD

Journal:

European Journal of Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 427 KB

english, 2018

37

Asymmetric cell division with stochastic growth rate. Dedicated to the memory of the late Spartak Agamirzayev

Efendiev, Messoud, van Brunt, Bruce, Zaidi, Ali A., Shah, Touqeer H.

Journal:

Mathematical Methods in the Applied Sciences

Year:

2018

Language:

english

File:

PDF, 365 KB

english, 2018

38

[Fields Institute Monographs] Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations Volume 36 ||

Efendiev, Messoud

Year:

2018

Language:

english

File:

PDF, 3.24 MB

english, 2018

39

[Fields Institute Monographs] Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations Volume 36 || Symmetry and Attractors

Efendiev, Messoud

Year:

2018

Language:

english

File:

PDF, 224 KB

english, 2018

40

How Spatial Heterogeneity Affects Transient Behavior in Reaction–Diffusion Systems for Ecological Interactions?

Wang, Xiaoying, Efendiev, Messoud, Lutscher, Frithjof

Journal:

Bulletin of Mathematical Biology

Year:

2019

Language:

english

File:

PDF, 792 KB

english, 2019

41

Mathematical Analysis of a PDE-ODE Coupled Model of Mitochondrial Swelling with Degenerate Calcium Ion Diffusion

Efendiev, Messoud A., Otani, Mitsuharu, Eberl, Hermann J.

Journal:

SIAM Journal on Mathematical Analysis

Year:

2020

Language:

english

File:

PDF, 1.31 MB

english, 2020

42

Solvability in the sense of sequences for some fourth order non-Fredholm operators

Efendiev, Messoud, Vougalter, Vitali

Journal:

Journal of Differential Equations

Year:

2021

File:

PDF, 354 KB

2021

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